I need to know why you choose the answer. Thanks! A researcher is investigating
ID: 3058573 • Letter: I
Question
I need to know why you choose the answer. Thanks!
A researcher is investigating variables that might be associated with the academic performance of high school students. She examined data from 1990 for each of the 50 states plus Washington, DC. The data included information on the following variables. SATM The average SAT Math score of all high school seniors in the state who took the exam The average number of dollars per pupil spent on education by the state The percentage of high school seniors in the state that took the exam S per pupil % taking As part of her investigation, she ran the multiple regression model SATM = f, + A($ per pupil) + A1% taking) + a, where the deviations& were assumed to be independent and Normally distributed with a mean of 0 and a standard deviation of . This model was fit to the data using the method of least squares. The following results were obtained from statistical software. Sum of squares df Source Model Error 45915.0 13835.1 48 Standard error 10.30 0.0025 Coefficient Variable Constant S per pupil 514.652 0.00639 taking -1.49221 0.1419 Another researcher, using the same data, ran the simple linear regression model SATM-p+ B( per pupil)+ The following results were obtained from statistical software. Sum of squares Source Model Error 14022.7 45727.4 49 Variable Constant Standard error 16.80 0.0031 Coefficient 560.374 $per pupil -0012169 The first researcher concluded that because the coefficient for the variable S per pupil was positive in her results, spending additional money on students would have a positi effect on SATM scores. This researcher therefore recommended more money be spent Page 3
Explanation / Answer
I need to know why you choose the answer. Thanks!
A researcher is investigating variables that might be associated with the academic performance of high school students. She examined data from 1990 for each of the 50 states plus Washington, DC. The data included information on the following variables. SATM The average SAT Math score of all high school seniors in the state who took the exam The average number of dollars per pupil spent on education by the state The percentage of high school seniors in the state that took the exam S per pupil % taking As part of her investigation, she ran the multiple regression model SATM = f, + A($ per pupil) + A1% taking) + a, where the deviations& were assumed to be independent and Normally distributed with a mean of 0 and a standard deviation of . This model was fit to the data using the method of least squares. The following results were obtained from statistical software. Sum of squares df Source Model Error 45915.0 13835.1 48 Standard error 10.30 0.0025 Coefficient Variable Constant S per pupil 514.652 0.00639 taking -1.49221 0.1419 Another researcher, using the same data, ran the simple linear regression model SATM-p+ B( per pupil)+ The following results were obtained from statistical software. Sum of squares Source Model Error 14022.7 45727.4 49 Variable Constant Standard error 16.80 0.0031 Coefficient 560.374 $per pupil -0012169 The first researcher concluded that because the coefficient for the variable S per pupil was positive in her results, spending additional money on students would have a positi effect on SATM scores. This researcher therefore recommended more money be spent Page 3