A Researcher Is Investigating Variables That Might Be Associated with the Academic

question 42

Multiple Choice

A researcher is investigating variables that might be associated with the academic performance of high school students.She examined data from 1990 for each of the 50 states plus Washington,DC.The data included information on the following variables. As part of her investigation,she ran the multiple regression model SATM = ₀ + ₁($ per pupil) + ₂(% taking) + _i,
Where the deviations _i were assumed to be independent and Normally distributed with a mean of 0 and a standard deviation of .This model was fit to the data using the method of least squares.The following results were obtained from statistical software. What proportion of the variation in the variable SATM is explained by the explanatory variables $ per pupil and % taking?

• A)0.232
• B)0.301
• C)0.768
• D)0.960

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