9.At a university, undergraduates were asked their own height and the ideanheight for their ideal spouse or partner. The table shows the data for arepresentative sample of 10 students, where x represents the height of thestudents and y represents the height for their ideal spouse or partner. Allheights are in inches. Complete parts a through c.yy5966676362717063667271676973736671757566a. Find the least squares line and correlation coefficient for this data. What strange phenomenon do you observe?Find the least squares line using a graphing calculator.The least squares line is Y =(Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.)Find the correlation coefficient using a graphing calculator.The correlation coefficient is(Type an integer or decimal rounded to four decimal places as needed.)What strange phenomenon is observed in the given data? Choose the correct answer below.O A. The taller the student, the shorter is the ideal partner's height.O B. The taller the student, the taller is the ideal partner's height.b. The first five data pairs are for female students and the second five are for male students. Find the least squares lineand correlation coefficient for each set of data.Find the least squares line for the first five data pairs using a graphing calculator.The least squares line is Y =(Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.)Find the correlation coefficient for the first five data pairs using a graphing calculator.The correlation coefficient is(Type an integer or decimal rounded to four decimal places as needed.)Find the least squares line for the second five data pairs using a graphing calculator.The least squares line is Y =(Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.)Find the correlation coefficient for the second five data pairs using a graphing calculator.The correlation coefficient is(Type an integer or decimal rounded to four decimal places as needed.)c. Plot all the data on one graph, using different types of points to distinguish the data for males and for females. Usingthis plot and the results from part (b), explain the strange phenomenon that you observed in part (a).Which of the following is the correct graph of the given data? Each graph has a horizontal axis from 55 to 80 in incrementsof 5 and a vertical axis from 60 to 80 in increments of 5.O A.O B.В.Oc.O D.Xxx %23%24DELL-&Using this plot and the results from part (b), explain the strange phenomenon that you observe in part (a).A. The results from part (b) indicate that the taller the student, the taller is the ideal partner's height.The strange phenomenon observed in part (a) is explained by the fact that there are two distinctpopulations represented by the sample.B. The results from part (b) indicate that the taller the student, the shorter is the ideal partner'sheight. The strange phenomenon observed in part (a) is explained by the fact that there are twodistinct populations represented by the sample.C. The results from part (b) indicate that there is no linear correlation between the heights ofpartners. This explains the strange phenomenon observed in part (a).

Question

9.At a university, undergraduates were asked their own height and the ideanheight for their ideal spouse or partner. The table shows the data for arepresentative sample of 10 students, where x represents the height of thestudents and y represents the height for their ideal spouse or partner. Allheights are in inches. Complete parts a through c.yy5966676362717063667271676973736671757566a. Find the least squares line and correlation coefficient for this data. What strange phenomenon do you observe?Find the least squares line using a graphing calculator.The least squares line is Y =(Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.)Find the correlation coefficient using a graphing calculator.The correlation coefficient is(Type an integer or decimal rounded to four decimal places as needed.)What strange phenomenon is observed in the given data? Choose the correct answer below.O A. The taller the student, the shorter is the ideal partner's height.O B. The taller the student, the taller is the ideal partner's height.b. The first five data pairs are for female students and the second five are for male students. Find the least squares lineand correlation coefficient for each set of data.Find the least squares line for the first five data pairs using a graphing calculator.The least squares line is Y =(Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.)Find the correlation coefficient for the first five data pairs using a graphing calculator.The correlation coefficient is(Type an integer or decimal rounded to four decimal places as needed.)Find the least squares line for the second five data pairs using a graphing calculator.The least squares line is Y =(Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.)Find the correlation coefficient for the second five data pairs using a graphing calculator.The correlation coefficient is(Type an integer or decimal rounded to four decimal places as needed.)c. Plot all the data on one graph, using different types of points to distinguish the data for males and for females. Usingthis plot and the results from part (b), explain the strange phenomenon that you observed in part (a).Which of the following is the correct graph of the given data? Each graph has a horizontal axis from 55 to 80 in incrementsof 5 and a vertical axis from 60 to 80 in increments of 5.O A.O B.В.Oc.O D.Xxx %23%24DELL->&Using this plot and the results from part (b), explain the strange phenomenon that you observe in part (a).A. The results from part (b) indicate that the taller the student, the taller is the ideal partner's height.The strange phenomenon observed in part (a) is explained by the fact that there are two distinctpopulations represented by the sample.B. The results from part (b) indicate that the taller the student, the shorter is the ideal partner'sheight. The strange phenomenon observed in part (a) is explained by the fact that there are twodistinct populations represented by the sample.C. The results from part (b) indicate that there is no linear correlation between the heights ofpartners. This explains the strange phenomenon observed in part (a).

Accepted Answer

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