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

question 13

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 res YX2 . 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 resXIX2. Finally regress resYX2 on resXIX2 (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.

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Definitions:

Gradual Transition

A process of change that happens slowly over time, moving from one state or condition to another.

Broad Principles

Wide-ranging and general rules or ideas that serve as a foundation for a system of belief or behavior or for a chain of reasoning.

Morality

Principles concerning the distinction between right and wrong or good and bad behavior, shaped by cultural, religious, or personal values.

Spirituality

A broad concept involving the search for meaning, purpose, and connection to something greater than oneself.