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

question 81

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. Another researcher,using the same data,ran the simple linear regression model
SATM = ₀ + ₁($ per pupil) + _i.
The following results were obtained from statistical software. Based on these results,a 95% confidence interval for ₁,the coefficient of the variable $ per pupil,is approximately

• A)-0.012169 ± 0.0031.
• B)-0.012169 ± 0.0052.
• C)-0.012169 ± 0.0062.
• D)-0.012169 ± 0.0083.

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