Your textbook compares the results of a regression of test scores on the student-teacher ratio using a sample of school districts from California and from Massachusetts. Before standardizing the test scores for California, you get the following regression result:
$\widehat{\text { TestScr }}$ ⁼^698.9^-^2.28^×^STR
n = 420, R2 = 0.051, SER = 18.6
_{In addition, you are given the following information: the sample mean of the student}_-_{teacher ratio is 19.64 with a standard deviation of 1.89, and the standard deviation of the test scores is 19.05.}
_a._{After standardizing the test scores variable and running the regression again, what is the value of the slope? What is the meaning of this new slope here (interpret the result)?}
_b._What_{will be the new intercept? Now that test scores have been standardiz}_{ed, should you interpret the intercept?}
c. Does the regression R2 change between the two regressions? What about the t-statistic for the slope estimator?

Question

Your textbook compares the results of a regression of test scores on the student-teacher ratio using a sample of school districts from California and from Massachusetts. Before standardizing the test scores for California, you get the following regression result:

\widehat{\text { TestScr }}

⁼^698.9^-^2.28^×^STR
n = 420, R2 = 0.051, SER = 18.6
_{In addition, you are given the following information: the sample mean of the student}_-_{teacher ratio is 19.64 with a standard deviation of 1.89, and the standard deviation of the test scores is 19.05.}
_a._{After standardizing the test scores variable and running the regression again, what is the value of the slope? What is the meaning of this new slope here (interpret the result)?}
_b._What_{will be the new intercept? Now that test scores have been standardiz}_{ed, should you interpret the intercept?}
c. Does the regression R2 change between the two regressions? What about the t-statistic for the slope estimator?

Quizplus · Accepted Answer

The Answer of Your textbook compares the results of a regression of test scores on the student-teacher ratio using a sample of school districts from California and from Massachusetts. Before standardizing the test scores for California, you get the following regression result: $\widehat{\text { TestScr }}$ ⁼^698.9^-^2.28^×^STR n = 420, R2 = 0.051, SER = 18.6 _{In addition, you are given the following information: the sample mean of the student}_-_{teacher ratio is 19.64 with a standard deviation of 1.89, and the standard deviation of the test scores is 19.05.} _a._{After standardizing the test scores variable and running the regression again, what is the value of the slope? What is the meaning of this new slope here (interpret the result)?} _b._What_{will be the new intercept? Now that test scores have been standardiz}_{ed, should you interpret the intercept?} c. Does the regression R2 change between the two regressions? What about the t-statistic for the slope estimator?

Your Textbook Compares the Results of a Regression of Test TestScr ^\widehat{\text { TestScr }} TestScr

Your Textbook Compares the Results of a Regression of Test $\widehat{\text { TestScr }}$