Two psychologists surveyed 562 children in grades 4, 5 and 6 in elementary schoo

Question

Two psychologists surveyed 562 children in grades 4, 5 and 6 in elementary schools in Michigan. They stratified their sample drawing roughly 1/3 from rural, 1/3 from suburban and 1/3 from urban schools. Among other questions they asked students whether their primary goal was to get good grades, to be popular, or to be good at sports. One question of interest was whether boys and girls at this age had similar goals. The data is summarized in the table below: Total Grades Popular Sports Boy 80 67 112 259 Girl 125 123 55 303 Total 205 1 562 190 167 A. among the boys in grades 4, 5 and 6 in elementary schools in Michigan, what proportion have as primary goal to be good at sports? (round answer to nearest hundredth, 2 decimals. For example, if the answer is 0.548, enter .55. lf you enter the leading 0 before the decimal point, the system will not recognize your answer. Do not enter the 0 to the right of the decimal place.) B. Of the girls in grades 4, 5 and 6 in elementary schools in Michigan, what proportion have (round answer to as primary goal to be good at sports? nearest hundredth, 2 decimals. For example, if the answer is 0.548, enter .55. lfyou enter the leading 0 before the decimal point, the system will not recognize your answer. Do not enter the 0 to the right of the decimal place.) C. Among the students in grades 4, 5 and 6 in elementary schools in Michigan who have as primary goal to be good at sports, what is the proportion are girls? (round answer to nearest hundredth, 2 decimals.For example, if the answer is 0.548, enter .55. lf you enter the leading 0 before the decimal point, the system will not recognize your answer. Do not enter the 0 to the right of the decimal place.)

Explanation / Answer

Question 2) The Displacement variable is better because it has a lower estimate for the residual error (S=3.14) and a higher R-square (66%).

Option b

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