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

question 76

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. Suppose we wish to test the hypotheses H₀: ₁ = ₂ = 0 versus H_a: at least one of the _j is not 0,using the ANOVA F test.What is the value of the F statistic?

• A)3.32
• B)24.0
• C)79.65
• D)159.3

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