QUESTION 21 2.326 points Sav The ACT is a standardized test that many high schoo

Question

QUESTION 21 2.326 points Sav The ACT is a standardized test that many high school students in the U.S. take in order to apply for college (the other major admissions test is the SAT). The purpose of any standardized admissions test is to allow the institution at which the student is applying to predict how a student would perform academically, as measured by grade point average (GPA). Of course, many other criteria are considered by admissions committees, such as high school GPA and involvement in extracurricular activities, but we won't get into those here. The dean of a college of business at a medium-sized regional university is interested in examining the relationship between ACT scores and GPAs of students in the college. After taking a random sample of 141 students, he performs a regression analysis using Excel and gets the output below: Statistics Multiple R R Square Adjusted R Square 0.035860611 Standard Erro Observations 0.206754254 0.042747321 0.365573763 141 ANOVA df MS Regression Residual Total 1 0.829558763 0.829559 6.20722 0.013899275 139 18.57654053 0.133644 40 19.40609929 95% Intercept ACT Coefficients Standard Error tStat P-value Lower 95% 2.402979486 0.264202725 9.095211 8.8E-16 1880603742 2.925355229 0.027063973 0.01086283 2.491429 0.013899 0.005586227 0.048541719 Interpret the 95% confidence interval for A, the regression slope, in the context of the problem by choosing the correct key words/phrases. We can be 95% confident, based on the method used to construct the interval that the true increase in the for a increase inis between and

Explanation / Answer

From the given regresion output we can say that,

We can be 95% confident, based on the method used to construct the interval that true increase in the Mean GPA for a one unit increase in ACT is between 0.005586 and 0.04854

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