res in The data at the right shows the scores of five students in Statistics and Physics quizzes. Calculate the Stephanie Beverly Angel Regine 11 11 8. 10 12 correlation coefficient. 12 10 Kim 5 Solution: Steps Solution
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- Explain how to interpret the absolute value of acorrelation coefficient.Which situation below does NOT represent a multiplicative relationship? a There are three times as many apples as bananas b One-third of the students are boys in Mr. Rocha's class. c The number of laptops purchased increases by 135 each month d The amount Neha earns each hour is $15.00Suppose you are interested in explaining maximum July temperatures in degrees Fahrenheit and latitude in degrees north of the equator. You check weather data and observe the following data for Edmonton, Calgary, Denver, and El Paso respectively; Latitude (X) = [51, 53, 39, 31] and Temperature (Y) = [89, 91, 90, 109]. Which city is the closest to its predicted value? Edmonton Calgary Two cities are equally close to their predicted values
- The table gives the round-trip fare for flights between Boston and some other cities on major airline. These were the lowest prices shown on www.Sidestep.com on January 21, 2010. The airlines varied.City Miles (x) Cost (y)New York 206x 179yChicago 963x 179ySan Francisco 3095x 397yDenver 1940x 274yLos Angeles 2979x 314yWashington D.C. 429x 99yAtlanta 1037x 317ySeattle 2976x 443yDallas 1748x 404ySt. Louis 1141x 334y(a) Construct a scatterplot of the bi-variate data.(b) Use the scatterplot to determine if there is an association between the vari-ables? Is the association linear? Explain.(c) The least square regression equation for the bivariate data is ˆy = 0.0796x +162.6. Interpret the y-intercept.(d) Calculate the residual when the distance is 3095 miles.Peter Davis teaches a course in marketing. He uses the system shown to the right for assigning grades to his students . From the information in the table, what percent of the students receive the grade B? Grade A B D F Score in Class Greater than x + 1.3s x + 0.5stox + 1.3s x - 0.5s to x + 0.5s x - 1.3stox - 0.5s Below x - 1.3s From the information in the table % percent of the students will receive the grade B. (Round to the nearest tenth as neededA rehabilitation counselor believes that an increase in the number of social visits to a patient over the course of a week in the hospital will increase the patient's daily levels of positive mood. The counselor ensures that patients are limited to only three people during each visit. What is the alternative hypothesis for this relationship? A. H1 : ρ < 0 B. H1 : ρ > 0 C. H1 : r < 0 D. H1 : r ≤ 0
- Cellulon, a manufacturer of home insulation, wants to develop guidelines for builders and consumers on how the thickness of the insulation in the attic of a home and the outdoor temperature affect natural gas consumption. In the laboratory, it varied the insulation thickness and temperature. A few of the findings are: Monthly Natural Gas Consumption (cubic feet), Y Thickness of Insulation (inches), X1 Outdoor Temperature (°F), X2 30.3 6 40 26.9 12 40 22.1 8 49 How much natural gas can homeowners expect to use per month if they install 6 inches of insulation and the outdoor temperature is 40 degrees F? Group of answer choices 36.69 cubic feet 30.30 cubic feet 30.89 cubic feet 33.69 cubic feetStatistics A medical research team conducted a study to test the effect of a cholesterol reducing medication. At the end of the study, the researcher found that out of the 4700 randomly selected subjects who took the medication, 301 died of heart diseases. Of the 4300 randomly selected subjects who took a placebo, 357 died of heart disease. At α = 0.01, can you conclude that the death rate due to heart disease is lower for the subjects who took the medication than those who took the placebo? a. State the null and alternate hypotheses (write it mathematically) and write your claim. b. Find the test statistic z c. Identify/separate the Rejection region (critical region) and fail to reject region by finding a critical value. d. Find the p-value and interpret its meaning? e. Decide whether to reject or fail to reject the null. f. Interpret the results in context of the claim. g. Make an inference of this claim using the Confidence Interval Method. N. B. When you construct a confidence…Q4A The World Bank collected data on the percentage of GDP that a country spends on health expenditures ("Health expenditure," 2013) and also the percentage of women receiving prenatal care ("Pregnant woman receiving," 2013). The data for the 15 countries where this information are available for the year 2011 is in the table below: Health Expenditure (% of GDP) Prenatal Care (%) 9.6 47.9 3.7 54.6 5.2 93.7 5.2 84.7 10.0 100.0 4.7 42.5 4.8 96.4 6.0 77.1 5.4 58.3 4.8 95.4 4.1 78.0 6.0 93.3 9.5 93.3 6.8 93.7 6.1 89.8 1. Determine the correlation between variables (if it exists) in this relation. Which variable is the dependent (output) variable? A. Percent of women receiving prenatal care B. Percent of gross domestic product (GDP) spent on healthcare Enter letter corresponding to correct answer 2. Using technology, determine coefficient of correlation r Enter r value to…
- Q2A The World Bank collected data on the percentage of GDP that a country spends on health expenditures ("Health expenditure," 2013) and also the percentage of women receiving prenatal care ("Pregnant woman receiving," 2013). The data for the 15 countries where this information are available for the year 2011 is in the table below: Health Expenditure (% of GDP) Prenatal Care (%) 9.6 47.9 3.7 54.6 5.2 93.7 5.2 84.7 10.0 100.0 4.7 42.5 4.8 96.4 6.0 77.1 5.4 58.3 4.8 95.4 4.1 78.0 6.0 93.3 9.5 93.3 6.8 93.7 6.1 89.8 2. Use technology to determine regression equation between percentage GDP spent on health and percentage of women receiving prenatal care. Enter regression equation the format as follows: y^=a+bx with slope rounded to nearest thousandth and y-intercept value rounded to nearest thousandth. Examples of correctly entered answers: y^=4.913+17.347x y^=7.553-11.225x Linear…Leptin is a hormone that has a central role in fat metabolism. One study published in the New England Journal of Medicine measured serum leptin concentrations versus the percentage of body fat for 275 individuals. The concentration of leptin c (in ng/Lm) is approximated by c=219x2 -26.7x+1.64, where x is percentage of body fat. (a) Determine the concentration of leptin in an individual with 6% body fat (x=0.06). Round to 1 decimal place. (b) If an individual has 3 ng/Lm of leptin, determine the percentage of body fat. Round to the nearest whole percent.Peter is conducting an experiment to determine whether a new medication is effective in reducing swelling. He gets 1,500 volunteers with swelling and divides them into two groups. The control group does not receive any medication; the treatment group receives the medicationThe patients in the treatment group show reduced signs of swelling. What can Peter conclude from this experiment?