For This Question, Use the California Testscore Data Set and Your

question 42

Essay

For this question, use the California Testscore Data Set and your regression package (a spreadsheet program if necessary). First perform a multiple regression of testscores on a constant, the student-teacher ratio, and the percent of English learners. Record the coefficients. Next, do the following three step procedure instead: first, regress the testscore on a constant and the percent of English learners. Calculate the residuals and store them under the name resYX2. Second, regress the student-teacher ratio on a constant and the percent of English learners. Calculate the residuals from this regression and store these under the name resX1X2. Finally regress resYX2 on resX1X2 (and a constant, if you wish). Explain intuitively why the simple regression coefficient in the last regression is identical to the regression coefficient on the student-teacher ratio in the multiple regression.

---

Definitions:

Approval Rates

Measurements or percentages indicating the level of public or group support for a person, policy, or product.

Elderly Inmates

Older individuals who are incarcerated, often facing unique health, mobility, and social challenges within the prison system.

Corrections

The process or industry associated with penalizing or rehabilitating individuals who have been convicted of crimes.

Habitual Felony Laws

Statutes that increase the punishment for individuals who are convicted of a felony and have prior felony convictions, often leading to longer prison sentences.