A Researcher Is Interested in Estimating How the Test Scores $\widehat { S c o r e } = 332 - 3$

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

$\widehat { S c o r e } = 332 - 3$ Class Size $+ 40$ Education Level $- 10$ Percent English Learners
$$\begin{array} { l } R ^ { 2 } = .1437 \\n = 200\end{array}$$
a)Interpret the coefficient estimates.Are these results consistent with what you expected?
b)Are there any omitted variables in this regression? If so,list them.
c)Interpret the R-squared.Is the value of the R-squared high as you expected?
d)Calculate the Adjusted R-squared and comment on what it means.
e)Predict the test score for a school with average class sizes of 28,an education level of 14 years,and 3% English learners.
f)Design an experiment to determine how class size affects test scores.How would the results from that experiment differ from the results presented above?