UESTION 21 The ACT is a standardized test that many high school students in the

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UESTION 21 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 s 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. Ater taking a random sample of 141 students, he performs a regression analysis using Excel and gets the output below Multiple R 0.206754254 0 042747321 R Square Adjusted R Square 0.035860611 Standard Emo Observations 0.365573763 141 ANOVA Regression Total 0.829558763 0829559 620722 0 013899275 139 18.57654053 0.133644 Emor tStar P-value Lower 95% 2 402979486 0264202725 9.095211 8.8E-16 1.880603742 2 925355229 Intercept ACT ect key wordsphrases. Interpret the 95% confidence interval for ßl , the regression slope. rhe context of the problem by choosng the com , that the true icoase n and we can be 95% cofident, based on the method used to cor struct the interv ncrease in s betweern for a Cliek Save and Submit to save and submit. Chick Save All Ansuers to savw al ansavers Save All Answers Close Window 4 6

Explanation / Answer

we can b e 95% confident based on the method used to construct the interval; that the true increase in the GPA;s for a unit increase in ACT score is betwen 0.005586227 and 0.04851719

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