A Researcher Is Interested in Estimating How the Test Scores $\hat {Score} = 332 - 3$

question 38

Essay

A researcher is interested in estimating how the test scores of elementary schools is related to average class size,parents education level (in years),and percent of English learners at the school.The researcher obtains a sample of 200 California public schools and obtains the following results with standard errors are in parentheses $\hat {Score} = 332 - 3$ Class Size $+ 40$ Education Level $- 10$ Percent English Learners
$~~~~~~~~~~~~~~~~~~$ (45) (.78) $~~~~~~~~~~~~~~~~~~$ (14) $~~~~~~~~~~~~~~~~~~$ (2.5)
$\begin{array} { l } \mathrm { R } ^ { 2 } = .1437 \\\mathrm { n } = 200\end{array}$
a)The F-statistic for this regression is 48.32.Test the overall significance of the regression model at the 5% level.What are the hypothesis,critical value,rejection rule and decision.
b)Perform a t-test of for the individual significance for the slopes.
c)Comment on the economic significance of the coefficient estimates.
d)If you are interested in sending your child to a school with high test scores what would factors would you look for?

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