A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (b) Given that x = 3.6667, s, = 2.3381, y = 4.3667, sy = 1.4236, and r= - 0.9293, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). y 6 5.9 5.9 4.9 3.9 2.7 2.9 (a) Choose the correct graph below. O A. O B. O C. O D. 67 2. There appears to be relationship. relationship (b) y = [x + 0 (Round to three decimal places as needed.) (c) Choose the correct graph below. a linear, positive O A. O B. O C. O D. a constant a nonlinear a linear, negative TreMatch the coefficient of determination to the scatter diagram. The scales on the x-axis and y-axis are the same for each scatter diagram. (a) R2 = 0.94, (b) R2 = 0.12, (C) R2 = 1 Response Explanatory (a) Scatter diagram V (b) Scatter diagram Response (c) Scatter diagram V Explanatory Response ExplanatoryThe following data represent the living situation of newlyweds in a large metropolitan area and their annual household income. Find the marginal frequency for newlyweds who own their own home. $75,000 Own home 31 52 202 355 524 Rent home 67 66 52 23 11 Live w / family 89 69 30 2 O A. 202 O B. 1,164 O C. 524 O D. 31The following data represent the living situation of newlyweds in a large metropolitan area and their annual household income. What percent of people who live with family make between $35,000 and $50,000 per year? Round to the nearest thousandth of a percent $75,000 Own home 31 52 202 355 524 Rent home 67 66 52 23 11 Live w / family 89 69 30 2 O A. 35.567% O B. 2.062% O C. 15.464% O D. 10.563%Fill in the blank. A contingency table relates two categories of data the difference in the means of two random variables a particular response with order in which that response should be applied 0000 only continuous random variables A survey asks questions about one's happiness and health. One would think that health plays a role in one's happiness. Use the data in the accompanying table to determine whether healthier people tend to also be happier. Treat level of health as the explanatory variable. Click the icon to view the data table. Create a conditional distribution for the data. Level of Health Level of - X Poor Fair Good Happiness Excellent Data table Not too hap Pretty happy Poor Fair Good Excellent Very happy Not too happy 685 1,386 1,629 742 Total Pretty happy 940 3,817 9,642 5, 195 Very happy 350 (Round to three decimal places as needed.) 1,372 4,520 5,085 Use the conditional distribution to determine if healthier people tend to be happier. Choose the correct answer below. A. No; the percent that are very happy decreases when health increases. Print Done O B. No; the percent that are not happy increases when health increases. O C. Yes; the percent that are pretty happy stays constant when health increases. O D. Yes; the percent that are not happy decreases when health increases