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All Textbook Solutions for Mathematical Excursions (MindTap Course List)
A secondary school system finds that the 440-yard-dash times of its female students are normally distributed, with an average lime of 72 s and a standard deviation of 5.5 s. What lime does a runner need in order to be in the 9% of runners with the best times? Round to the nearest hundredth of a cond.Boys Heights Humans are, on average, taller today than they were 200 years ago. Today, the mean height of 14-year-old boys is about 65 in. Use the following relative frequency distribution of heights of a group of 14-year-old boys from the 19th century to answer the following quest ions. a. What percent of the group of 19th-century boys was at least 65 in. tall? b. What is the probability that one of the 19th-century boys selected at random was at least 55 in. tall hut less than 65 in. tall?Biology A biologist measured the lengths of hundreds of cuckoo bird eggs. Use the relative frequency distribution below to answer the questions that follow. a. What percent of the group of eggs was less than 21.75 mm long? b. What is the probability that one of the eggs selected at random was at least 20.75 mm long but less than 24.75 mm long?Use the Empirical Rule to answer each question. In a normal distribution, what percent of the data lie? a. within 2 standard deviations of the mean? b. more than 1 standard deviation above the mean? c. between I standard deviation below the mean and 2 standard deviations above the mean?Use the Empirical Rule to answer each question. In a normal distribution, what percent of the data lie? a. within 3 standard deviations of the mean? b. more than 2 standard deviations below the mean? c. between 2 standard deviations below the mean and 3 standard deviations above the mean?Use the Empirical Rule to answer each question. Shipping During 1 week, an overnight delivery company found that the weights of its parcels were norm ally distributed, with a mean of 24 oz and a standard deviation of 6 oz. a. What percent of the parcels weighed between 12 oz and 30 oz? b. What percent of the parcels weighed more than 42 oz?Use the Empirical Rule to answer each question. Baseball A baseball franchise finds that the attendance a its home games is normally distributed, with a mean of 16.000 and a standard deviation of 4000. a. What percent of the home games have an attendance between 12.000 and 20.000 people? b. What percent of the home games have an attendance of fewer than OOO people?Use the Empirical Rule to answer each question. Traffic A highway study of 8000 hic1es that passed by a checkpoint found that their speeds were normally distributed, with a mean of 61 mph and a standard deviation of 7 mph. a. How many of the vehicles had a speed of more than 68 mph? b. How many of the vehicles had a speed of less than 40 mph?Use the Empirical Rule to answer each question. Womens Heights A survey of 1000 women ages 20 to 30 found that their heights were normally distributed, with a mean of 65 in. and a standard deviation of 2.5 in. a. How many of the women have a height that is within I standard deviation of the mean? b. How many of the women have a height that is between 60 in. and 70 in.?Find the area, to the nearest thousandth, of the standard normal distribution between the given z-scores. z=0 and z=1.5Find the area, to the nearest thousandth, of the standard normal distribution between the given z-scores. z=0 and z=1.9Find the area, to the nearest thousandth, of the standard normal distribution between the given z-scores. z=0 and z=1.85Find the area, to the nearest thousandth, of the standard normal distribution between the given z-scores. z=0 and z=2.3Find the area, to the nearest thousandth, of the standard normal distribution between the given z-scores. z=1 and z=1.9Find the area, to the nearest thousandth, of the standard normal distribution between the given z-scores. z=0.7 and z=1.92Find the area, to the nearest thousandth, of the standard normal distribution between the given z-scores. z=1.47 and z=1.64Find the area, to the nearest thousandth, of the standard normal distribution between the given z-scores. z=0.44 and z=1.82Find the area, to the nearest thousandth, of the indicated region of the standard normal distribution. The region where z1.3Find the area, to the nearest thousandth, of the indicated region of the standard normal distribution. The region where z1.92Find the area, to the nearest thousandth, of the indicated region of the standard normal distribution. The region where z2.22Find the area, to the nearest thousandth, of the indicated region of the standard normal distribution. The region where z0.38Find the area, to the nearest thousandth, of the indicated region of the standard normal distribution. The region where z1.45Find the area, to the nearest thousandth, of the indicated region of the standard normal distribution. The region where z1.82Find the area, to the nearest thousandth, of the indicated region of the standard normal distribution. The region where z2.71Find the area, to the nearest thousandth, of the indicated region of the standard normal distribution. The region where z1.92Find the z-score, to the nearest hundredth, that satisfies the given condition. 0.200 square unit of the area of the standard normal distribution is to the right of z.Find the z-score, to the nearest hundredth, that satisfies the given condition. 26. 0.227 square unit of the area of the standard normal distribution is to the right of z.Find the z-score, to the nearest hundredth, that satisfies the given condition. 0.184 square unit of the area of the standard normal distribution is to the left of z.Find the z-score, to the nearest hundredth, that satisfies the given condition. 28. 0.330 square unit of the area of the standard normal distribution is to the left of z.Find the z-score, to the nearest hundredth, that satisfies the given condition. 29. 0.363 square unit of the area of the standard normal distribution is to the right of z.Find the z-score, to the nearest hundredth, that satisfies the given condition. 0.440 square unit of the area of the standard normal distribution is to the left of z.In Exercises 31 to 40, answer each question. Round z-scores to the nearest hundredth and then find the required A values using Table 13.10 on page 787. Cholesterol Levels The Cholesterol levels of a group of young women at a university are normally distributed, with a mean of 185 and a standard deviation of 39. What percent of the young women have a cholesterol level a. greater than 219? b. between 190 and 225?In Exercises 31 to 40, answer each question. Round z-scores to the nearest hundredth and then find the required A values using Table 13.10 on page 787. Biology A biologist found the wingspans of a group of monarch butterflies to be normally distributed, with a mean of 52.2 mm and a standard deviation of 2.3 mm. What percent of the butterflies had a wingspan a. less than 48.5 mm? b. between 50 and 55 mm?In Exercises 31 to 40, answer each question. Round z-scores to the nearest hundredth and then find the required A values using Table 13.10 on page 787. Light Bulbs A manufacturer of light bulbs finds that one light bulb model has a mean life span of 1025 h with a standard deviation of 87 h. What percent of these light bulbs will last a. at least 950 h? b. between 800 and 900 h?In Exercises 31 to 40, answer each question. Round z-scores to the nearest hundredth and then find the required A values using Table 13.10 on page 787. Heart Rates The resting heart rates of a group of healthy adult men were found to have a mean of 73.4 beats per minute, with a standard deviation of 5.9 beats per minute. What percent of these men had a resting heart rate of a. greater than 80 beats per minute? b. between 70 and 85 beats per minute?In Exercises 31 to 40, answer each question. Round z-scores to the nearest hundredth and then find the required A values using Table 13.10 on page 787. Cereal Weight The weights of all the boxes of corn flakes tilled by a machine are normally distributed, with a mean weight of 14.5 oz and a standard deviation of 0.4 oz. What percent of the boxes will a. weigh less than 14 oz? b. weigh between 13.5 oz and 15.5 oz?In Exercises 31 to 40, answer each question. Round z-scores to the nearest hundredth and then find the required A values using Table 13.10 on page 787. Telephone Calls A telephone company has found that the lengths of its long distance telephone calls are normally distributed, with a mean of 225 s and a standard deviation of 55 s. What percent of its long distance calls are a. longer than 34() s? b. between 200 and 300 s?In Exercises 31 to 40, answer each question. Round z-scores to the nearest hundredth and then find the required A values using Table 13.10 on page 787. Rope Strength The breaking point of a particular type of rope is normally distributed, with a mean of 350 lb and a standard deviation of 24 lb. What is the probability that a piece of this rope chosen at random will have a breaking point of a. less than 320 Ib? b. between 340 and 370 Ib?In Exercises 31 to 40, answer each question. Round z-scores to the nearest hundredth and then find the required A values using Table 13.10 on page 787. 3Tire Mileage The mileage for WearEver tires is normally distributed, with a mean of 48.000 mi and a standard deviation of 7400 ml. What is the probability that the WearEver tires you purchase will provide a mileage of a. more than 60.000 mi? b. between 40,000 and 50.000 mi?In Exercises 31 to 40, answer each question. Round z-scores to the nearest hundredth and then find the required A values using Table 13.10 on page 787. 39. Grocery Store Lines The amount of time customers spend waiting in line at a grocery store is normally distributed, with a mean of 2.5 mm and a standard deviation of 0.75 mm. Find the probability that the time a customer spends waiting is a. less than 3 mm. b. less than I mm.In Exercises 31 to 40, answer each question. Round z-scores to the nearest hundredth and then find the required A values using Table 13.10 on page 787. IQ Tests A psychologist finds that the intelligence quotients of a group of patients are normally distributed, with a mean of 102 and a standard deviation of 16. Find the percent of the patients with IQs a. above 114. b. between 90 and 118.Heights Consider the data set of the heights of all babies born in the United States during a particular year. I you think this data set is nearly normally distributed? Explain.Weights Consider the data set of the weights - of all Valencia oranges grown in California during a particular year. Do you think this data set is nearly normally distributed? Explain.In Exercises 43 to 49, determine whether the given statement is true or false. The standard normal distribution has a mean of 0.In Exercises 43 to 49, determine whether the given statement is true or false. Every normal distribution is a bell-shaped distribution.In Exercises 43 to 49, determine whether the given statement is true or false. In a normal distribution, the mean, the median, and the mode of the distribution are all located at the center of the distribution.In Exercises 43 to 49, determine whether the given statement is true or false. The mean of a normal distribution is always larger than the standard deviation of the distribution.In Exercises 43 to 49, determine whether the given statement is true or false. The standard deviation of the standard normal distribution is 1.In Exercises 43 to 49, determine whether the given statement is true or false. If a data value x from a normal distribution is positive, then its z-score al must be positive.In Exercises 43 to 49, determine whether the given statement is true or false. All normal distributions have a mean of 0.a. Make a sketch of two normal distributions that have the same standard deviation but different means. b. Make a sketch of two normal distributions that have the same mean hut different standard deviations.Determine the approximate z-scores for the first quartile and the third quartile of the standard normal distribution.The following table shows Earths atmospheric pressure P at an altitude of a kilometers. Find an exponential function that models the atmospheric pressure as a function of altitude. Use the function to estimate, to the nearest tenth, the atmospheric pressure at an altitude of 11 km.Which of the scatter diagrams below suggests the a. strongest positive linear correlation between the x and y variables? b. strongest negative linear correlation between the x and y variables?Which of the scatter diagrams below suggests a. a nearly perfect positive linear correlation between the x and y variables? b. little or no linear correlation between the x and y variables?3ESGiven the bivariate data: a. Draw a scatter diagram for the data. b. Find n, x, y, x2,( x)2, and xy. c. Find a. the slope of the least-squares line, and b, the y-intercept of the least-squares line. d. Draw the least-squares line on the scatter diagram from part a. e. Is the point (x,y) on the least-squares tine? f. Use the equation of the least-squares line to predict the value of y when x=7.3. g. Find, to the nearest hundredth, the linear correlation coefficient.Find the equation of the least squares line and the linear correlation coefficient for the given data. Round the constants, a, b, and r to the nearest hundredth. { (2,6),(3,6),(4,8),(6,11),(8,18) }Find the equation of the least squares line and the linear correlation coefficient for the given data. Round the constants, a, b, and r to the nearest hundredth. { (2,3),(3,4),(4,9),(5,10),(7,12) }Find the equation of the least squares line and the linear correlation coefficient for the given data. Round the constants, a, b, and r to the nearest hundredth. { (3,11.8),(1,9.5),(0,8.6),(2,8.7),(5,5.4) }Find the equation of the least squares line and the linear correlation coefficient for the given data. Round the constants, a, b, and r to the nearest hundredth. { (7,11.7),(5,9.8),(3,8.1),(1,5.9),(2,5.7) }Find the equation of the least squares line and the linear correlation coefficient for the given data. Round the constants, a, b, and r to the nearest hundredth. { (1,4.1),(2,6.0),(4,8.2),(6,11.5),(8,16.2) }Find the equation of the least squares line and the linear correlation coefficient for the given data. Round the constants, a, b, and r to the nearest hundredth. { (2,5),(3,7),(4,8),(6,11),(8,18),(9,21) }Use the statistics features of a graphing calculator. Value of a Corvette The following table - gives retail values of a 2010 Corvette for various odometer readings. (Source: Kelley Blue Book website) a. Find the equation of the least-squares line for the data. Round constants to the nearest thousandth. b. Use the equation from part a to predict the retail price of a 2010 Corvette with an odometer reading of 30.000. c. Find the linear correlation coefficient for these data. d. What is the significance of the fact that the linear correlation coefficient is negative for these data?Use the statistics features of a graphing calculator. Paleontology The following table shows the length, in centimetres, of the humerus and the total wingspan, in centimetres, of several pterosaurs, which are extinct flying reptiles. (Source. Southwest Educational Development Laboratory) a. Find the equation of the least-squares line for the data. Round constants to the nearest hundredth. b. Use the equation from part a to determine, to the nearest centimeter, the projected wingspan of a pterosaur if its humerus is 54 cm.Use the statistics features of a graphing calculator. Health The U.S. Centers for Disease Control and Prevention (CDC) use a measure called body mass index (BMI) to determine whether a person is overweight. A BMI between 25.0 and 29.9 is considered overweight, and a BMI of 30.0 or more is considered obese. The following table shows the percents of U.S. males 18 years old or older who were obese in the years indicated, judging on the basis of BMI. (Source: Centers for Disease Control and Prevention) a. Using 3 for 2003.4 for 2004, and so on, find the equation of the least-squares line for the data. b. Use the equation from part a to predict the percent of overweight males in 2015.Use the statistics features of a graphing calculator. Health The U.S. Centers for Disease Control and Prevention (CDC) use a measure called body mass index (BMI) to determine whether a person is overweight. A BMI between 25.0 and 29.9 is considered overweight, and a BM1 of 30.0 or more is considered obese. The following table shows the percents of U.S. females 18 years old or older who were overweight in the years indicated, judging on the basis of BMI. (Source: Centers for Disease Control and Prevention) a. Using 3 for 2003, 4 for 2004, and so on, find the equation of the least-squares line for the data. b. Use the equation from part a to predict the percent of overweight females in 2015.Use the statistics features of a graphing calculator. Wireless Phone The following table show the approximate numbers of wireless telephone subscriptions in the United States for recent years. U.S. a. Find the linear correlation coefficient for the data. b. On the basis of the value of the linear correlation coefficient, would you conclude, at the | r |0.9 level, that the data can be reasonably modeled by a linear equation? Explain.Life Expectancy The average remaining life times for men of various ages in the United States are given in the following table. (Source: National Institutes of Health) Lice the linear correlation coefficient to determine whether there is a strong correlation, at the level | r |0.9, between a mans age and the average remaining lifetime of that man.Use the statistics features of a graphing calculator. Life Expectancy The average remaining life- times for women of various ages in the United States are given in the following table. (Source. National Institutes of Health) a. Find the equation of the least-squares line for the data. b. Use the equation from part a to estimate the remaining lifetime of a woman of age 25. c. Is the procedure in part b an example of interpolation or extrapolation?Use the statistics features of a graphing calculator. Fitness An aerobic exercise instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for individuals of the given ages. a. Find the linear correlation coefficient for the data. b. What is the significance of the value found in part a? c. Find the equation of the least-squares line. d. Use the equation from part c to predict the maximum exercise heart rate for a person who is 72. e. Is the procedure in part d an example of interpolation or extrapolation?Tuition The following table shows the average annual tuition and fees at private and public 4-year colleges and universities for the school years 2009-2010 through 2014-2015. (Source: National Center for Education Statistics) a. Using 1 for 2009-2010, 2 for 2010-2011, and so on, find the linear correlation coefficient and the equation of the least-squares line for the tuition and fees at private 4-year colleges and universities, based on the year. b. Using I for 2009-2010. 2 for 2010-2011, and so on, find the linear correlation coefficient and the equation of the least-squares line for the tuition and fees at public 4-year colleges and universities, based on the year. c. Based on the linear correlation coefficients you found in parts a and b, are the equations you wrote in parts a and b good models of the growth in tuition and fees at 4-year colleges and universities? d. The equation of a least-squares line is written in the form y=ax+b . Explain the meaning of the value of a for each equation you wrote in parts a and b.____ Search for bivariate data (in a magazine. in a newspaper. in an almanac, or on the Internet) that can be closely modeled by a linear equation a. Draw a scatter diagram of the data. b. Find the equation of the least-squares line and the linear correlation coefficient for the data. c. Graph the least-squares line on the scatter diagram in part a. d. Use the equation of the least-squares line to predict a range value for a specific domain value.Find the mean, median, mode, range, population variance, and population standard & deviation for the following data. Rind noninteger values to the nearest tenth. 12, 17, 14, 12,8,19, 21A set of data has a mean of 16, a median of 15, and a mode of 14. Which of these numbers must be a value in the data set?Write a set of data with five data values for which the mean, median, and mode are all 55.State whether the mean, Median, or mode is being used. a. In 2002, there were as many people aged 25 and younger in the world as there were people aged 25 and older. b. The majority of full-time students carry a load of 15 credit hours per semester. c. The average annual return on an investment is 6.5%.Bridges The lengths of cantilever bridges in the United States are shown below. Find the mean, median, mode, and range of the data. Bridge Length (in feet) Baton Rouge (Louisiana), 1235 Commodore John Barry (Pennsylvania), 1644 Greater New Orleans (Louisiana), 1576 Longview (Washington). 1200 Patapsco River (Maryland), 1200 Queensboro (New York), 1182 Tappan Zee (New York), 1212 Transbay Bridge (California), 1400Average Speed Cleone traveled 45 ml to her sisters house in 1 h. The return trip took 1.5 h. What was Cleones average rate for the entire trip?Grade Point Average In a 4.0 grading system, each letter grade has the following numerical value. A=4.00B=2.67D+=1.33A=3.67C+=2.33D=1.00B+=3.33C=2.00D=0.67B=4.00C=1.67F=0.00 Use the weighted mean formula to find the grade point average for a student with the following grades. Round to the nearest hundredth.Test Scores A teacher finds that the test scores of a group of 40 students have a mean of 72 and a standard deviation of 8. a. If Ann has a test score of 82, what is Anns z-score? b. Anns score is higher than that of 35 of the 40 students who took the test. Find the percentile, rounded to the nearest percent, for Anns score.Airline Industry An airline recorded the times it took for a ground crew to unload the baggage from an airplane. The recorded times, in minutes, were 12, 18, 20, 14, and 16. Find the sample standard deviation and the variance of the times. Round your results to the nearest hundredth of a minute.Ticket Prices The following table gives the average annual admission prices to U.S. movie theatres for the years 2006 to 2015. Average Annual Admission Price. 2006-2015 Find the mean, median, and standard deviation for this sample of admission prices. Round to the nearest cent.Test Scores One student received test ores of 85, 92, 86. and 89. A second student received scores of 90, 97, 91, and 94 (exactly 5 points more on each test). a. What is the relationship between the means of the 2 students test scores? b. What is the relationship between the standard deviations of the 2 students test scores?A population data set has a mean of 81 and a standard deviation of 5.2. Find the z-scores for each of the following. Round to the nearest hundredth. a. x=72 b. x=84Cholesterol Levels The cholesterol levels for 10 adults are shown below. Draw a box-and-whisker plot of the data. Cholesterol LevelsTest Scores The following histogram shows the distribution of the test scores for a history test. a. How many students scored at least 84 on the test? b. How many students took the test?Teacher Salaries Use the following relative frequency distribution to determine the a. percent of the states that paid an average teacher salary of at least $48,000. b. probability, as a decimal, that a state selected at random paid an average teacher salary of at least $56,000 but less than $72,000. Average Salaries of Public School Teachers. 2014-2015Greenhouse Gas Emissions The table below shows annual greenhouse gas emissions. in tons of carbon dioxide (CO2), by vehicle fuel efficiency rating in miles per gallon (mpg). Is there a linear relation, at the | x |0.9 level, between vehicle fuel efficiency and greenhouse gas emissions?Alternative Fuels Alternative fuel vehicles that run on nonpetroleum-based fuels cannot refuel at traditional gas stations. Use the table of the numbers of alternative fuel stations in the United States to answer the questions below. a. Using 11 for 2011, 12 for 2012, and so on, find the equation of the least-squares line for the data. b. Use your equation from part a to predict the number of alternative fuel stations in the United States in 2015.Test Scores A professor gave a final examination to 110 students. Eighteen students had ores that were more than 1 standard deviation above the mean. With this information, can you conclude that 18 of the students had scores that were more than 1 standard deviation below the mean? Explain.Waiting Time The amount of time customers spend waiting in line at the ticket counter of an amusement park is normally distributed, with a mean of 6.5 mm and a standard deviation of 1 mm. Find the probability that the time a customer will spend waiting is: a. less than 8 min. b. less than 6 min.Pet Food The weights of all the sacks of dog food tilled by a machine are normally distributed, with an average weight of 50 lb and a standard deviation of 0.5 lb. What percent of the sacks will a. weigh less than 49.5 Ib? b. weigh between 49 and 51 Ib?Telecommunication A telephone manufacturer finds that the life spans of its telephones are normally distributed, with a mean of 6.5 years and a standard deviation of 0.5 year. a. What percent of its telephones will last at least 7.25 years? b. What percent of its telephones will last between 5.8 years and 6.8 years? c. What percent of its telephones will last less than 6.9 years?Astronomy The following table gives the distances, in millions of miles, of Earth from the sun at selected times during the year. On the basis of these data, what is the mean distance of Earth from the sun?Given the bivariate data a. Draw a scatter diagram for the data. b. Find n, x, y, x2( x)2, and xy. c. Find a. the slope of the least-squares regression line, and b, the y-intercept of the least-squares line. d. Draw the least-squares line on the scatter diagram from part a. e. Is the point (x,y) on the least-squares line? f. Use the equation of the least-squares line to predict the value of y for x = 8. g. Find the linear correlation coefficient.Physics A student has recorded the data in the following table, which shows the distance a spring stretches in inches for a given weight in pounds. a. Find the linear correlation coefficient. b. Find the equation of the least-squares line. c. Use the equation of the least-squares line from part b to predict the distance a weight of 195 lb will stretch the spring.25. ____ Internet A test of an Internet service provider showed the following download times (in seconds) for files of various sizes (in megabytes). a. Find the equation of the least-squares line for these data. b. On the basis of the value of the linear correlation coefficient, is a linear model of these data a reason-able model? Use the equation of the least-squares line from part a to predict the expected download time of a file that is 100 megabytes in size.Blood alcohol content (BAC) is measured in grams of alcohol per deciliter of blood. For instance, a BAC reading of 0.08% (a level that is considered legally intoxicated in most states) means that one deciliter of the persons blood contains 0.08 gram of alcohol. A toxicologist recorded the times elapsed, in hours, until the blood alcohol levels of eight adults who had consumed various amounts of alcohol were less than 0.005%. The results are given in the table. a. Find the regression equation and linear correlation coefficient for these data. b. Use the equation to predict the time it would take for a person with a BAC of 0.06% to reach a BAC level of less than 0.005. Round to the nearest tenth.Find the mean, median, and mode for the following data. Round noninteger values to the nearest tenth. 3,7, 11, 12,7,9,15Grade Point Average Use the 4.0 grading system: A=4.B=3,C=2,D=1,F=0 A students grade point average (GPA) is calculated as a weighted mean, where the students grade in each Course is given a weight equal to the number of units that course is worth. Find Justins GPA for the fall semester. Round to the nearest hundredth.Find the range, standard deviation, and variance for the following sample data. 7,11,12,15,31,22A sample data set has a mean of x=65 and a standard deviation of 10.2. Find the z-scores for each of the following. Round to the nearest hundredth. a. x=77 b. x=60Basketball Draw a box-and-whisker plot for the following data. Points Scored by Top 20 Womens National Basketball Association Players in a Recent Year SOURCE: Womens National Basketball AssociationMovie Attendance Use the following relative frequency distribution to estimate the percent of the movie attendees who were a. at least 40 years of age. b. at least 18 but less than 40 years of age.During I month, an overnight delivery company found that the weights of its parcels were normally distributed, with a mean of 34 oz and a standard deviation of 10 oz. Use the Empirical Rule to determine a. the percent of the parcels that weighed between 34 oz and 54 oz. b. the percent of the parcels that weighed less than 24 oz.Box Weights The weights of all the boxes of cake mix filled by a machine are normally distributed, with a mean weight of 18.0 oz and a standard deviation of 0.8 oz. What percent of the boxes will a. weigh less than 17 oz? b. weigh between 18.4 and 19.0 oz?A psychologist wants to determine whether there is a relationship between how long it takes a subject to complete a manual task and the number of hours of sleep the subject had the night before. The results from a study of 10 people are given in the following table. a. Find the linear correlation coefficient for the data. b. On the bids of your answer to part a. is there a strong linear relationship, at | r |0.9 level, between hours of sleep and minutes to complete a task?Nutrition The following table shows the percent of water and the number of calories in various canned soups to which 100 g of water are added. a. Find the equation of the least-squares line for the data. Round constants to the nearest hundredth. b. Use the equation in part a to find the expected number of calories in a soup that is 89% water. Round to the nearest whole number.