(a) Find the five-number summary, and (b) draw a box-and-whisker plot of the data. 38 85 2987 969416298779 (a) Min = (Simplify your answer.) Q₁ = (Simplify your answer.) Q₂-(Simplify your answer.) Q3 (Simplify your answer.) Max = (Simplify your answer.) (b) Choose the correct box-and-whisker plot below. O A. B. TTT O C. O D. TTT
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- Sports The ordered pairs below give the winning times (in seconds) of the women’s 100-meter freestyle in the Olympics from 1984 through 2012. 1984,55.92 2000,53.83 1988,54.93 2004,53.84 1992,54.64 2008,53.12 1996,54.50 2012,53.00 (a) Sketch a scatter plot of the data. Let y represent the winning time (in seconds) and let t=84 represent 1984. (b) Sketch the line that you think best approximates the data and find an equation of the line. (c) Use the regression feature of a graphing utility to find the equation of the least squares regression line that fits the data. (d) Compare the linear model you found in part (b) with the linear model you found in part (c).4A Create a scatterplot of the data. Height is X-axis and Shoe size is Y-axis Person 1 Person 2 Person 3 Person 4 Person 5 Person 6 Person 7 Person 8 Person 9 Height (inches) 69 67 67 64 68 69 58 74 70 Shoe Size 10 9.5 10 9 9.5 11 6 11.5 10.51. A researcher is interested in knowing if there is a relationship between the size of the television (inches) and the price at the local Walmart’s. Inches Price (dollars) 9 147.00 20 197.00 27 297.00 31 447.00 35 1177.00 40 2177.00 60 2497.00 Using the data in the above table, provide the following information: a.What are your conclusions and observations about the relationship between the two variables? b. What is the value of the intercept a? c.What is the value of the slope b? d. Write the linear regression equation
- #7. Health Care: Nurses At Center Hospital there is some concern about the high turnover of nurses. A survey was done to determine how long (in months) nurses had been in their current positions. The responses (in months) of 20 nurses were 23 2 5 14 25 36 27 42 12 8 7 23 29 26 28 11 20 31 8 36 Make a box-and-whisker plot. Find the interquartile range.Measles and Mumps A researcher wishes to see if there is a relationship between the number of reported cases of measles and mumps for a recent 5 -year period. Is there a linear relationship between the two variables? Measles Cases 47 139 66 56 207 Mumps Cases 797 438 2005 2611 375 (a) Draw the scatter plot for the variables. Measles and Mumps Mumps y 500 1000 1500 2000 2500 3000 x 50 100 150 200 250 0 (b) Compute the value of the correlation coefficient. Round your answer to at least three decimal places. =r (c) State the hypotheses. H0 : H1 : (d) Test the significance of the correlation coefficient at =α0.05 , using The Critical Values for the PPMC Table. Critical values: ± ▼(Choose one) the null hypothesis.…Hello, Consider, a researcher wants to identify the relationship between the height and weight of 10 students. The considered data set is: Height(Inches) (X) Weight(Pounds) (Y) 65.78 112.99 71.52 136.49 69.4 153.03 68.22 142.34 67.79 144.3 68.7 123.3 69.8 141.49 70.01 136.46 67.9 112.37 66.78 120.67 Construct the scatter plot of the data and the regression line.
- The following table shows retail sales in drug stores in billions of dollars in the U.S. for years since 1995. Year Retail Sales 0 85.851 3 108.426 6 141.781 9 169.256 12 202.297 15 222.266 Let y be the retails sales in billions of dollars in xx years since 1995. A linear model for the data is y=9.44x+84.182y=9.44x+84.182.A) Use the above scatter plot to decide whether the line of best fit, fits the data well. a) The function is a good model for the data. or b) The function is not a good model for the data B) To the nearest billion, estimate the retails sales in the U. S. in 2011. __?__ billions of dollars.C) Use the equation to find the year in which retails sales will be $234 billion. __?__The percentage of employees who cease their employment during a year is referred to as employee turnover, and it is a serious issue for businesses. The following table shows the cost, in millions of dollars, to a certain company for a given employee turnover percentage in a year. E = employee turnover 10 20 30 40 C = cost 250 390 530 670 Find a linear model for the data. C(E) =A. Interpret the slope associated with mother's height and the intercept of this model. B. Calculate the test statistic that is labeled "C" in the output. C.What are the null and alternative hypotheses corresponding to the test statistic labeled "C" and its corresponding p-value in the output. H0: r = 0 HA: r ≠ 0 H0: b = 0 HA: b ≠ 0 H0: ρ = 0 HA: ρ ≠ 0 H0: β = 0 HA: β ≠ 0 D. What is the predicted height for a child born to a mother with a height of 67 inches and a father with a height of 71 inches? intercept of this model.
- A study on driving speed (miles per hour) and fuel efficiency (miles per gallon) for midsize automobiles resulted in the following data. Driving Speed 30 40 60 55 25 30 50 55 25 50 Fuel Efficiency 32 27 21 25 34 30 28 27 37 25 (a) Construct a scatter diagram with driving speed on the horizontal axis and fuel efficiency on the vertical axis. A scatter diagram has 10 points. The horizontal axis is labeled: Driving Speed (MPH), and ranges from 0 to 70. The vertical axis is labeled: Fuel Efficiency (MPG), and ranges from 0 to 40. The graph starts at the points (25, 25) and (25, 26) and moves to the right toward the point (60, 28). The points are all plotted close together and stay between the vertical values of 24 and 29 inclusive. A scatter diagram has 10 points. The horizontal axis is labeled: Driving Speed (MPH), and ranges from 0 to 70. The vertical axis is labeled: Fuel Efficiency (MPG), and ranges from 0 to 40. Most of the points follow a trend that starts at (25,…The following table shows retail sales in drug stores in billions of dollars in the U.S. for years since 1995. Year Retail Sales 0 85.851 3 108.426 6 141.781 9 169.256 12 202.297 15 222.266 Let � be the retails sales in billions of dollars in � years since 1995. A linear model for the data is �=9.44�+84.182.36912158090100110120130140150160170180190200210220A) Use the above scatter plot to decide whether the line of best fit, fits the data well. The function is a good model for the data. The function is not a good model for the data B) To the nearest billion, estimate the retails sales in the U. S. in 2017. billions of dollars.C) Use the equation to find the year in which retails sales will be $231 billion.A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. A regression analysis shows the following results. Coefficients Standard Error t-Stat p-value Intercept −12.201 6.560 −1.860 0.100 Number of contacts 2.195 0.176 12.505 0.000 What is the Y-intercept of the linear equation? Multiple Choice −12.201 2.195 −1.860 12.505
