https://www ALEK s and seniors may or may not measure academic potential, but we

Question

https://www ALEK s and seniors may or may not measure academic potential, but we can nonetheless examine the relationship botween scores on this test and performance in college We have chosen a random sample of fifleen students just finishing their first year of colloge, and lor each student we've recorded her score on this standardized test (from 400 to 1600) and her grade point average (rom 0 to 4) for her first year in college. The daa are shown below, with x denoting the score on the standardized test and y denoting the first-yoar college grade point average. A scatter plot of the data is shown in Figure 1 Standardized test Geade point averag 2.70 2.89 2.15 2.46 3.55 1410 1000 1510 1090 32 1500 810 1250 3.12 3 02 2 28 3 23 3.55 1350 990 2 BB 279 1200 950 Figure 1

Explanation / Answer

slope = 0.001533

intercept = 1.052741

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SUMMARY OUTPUT Regression Statistics Multiple R 0.762955124 R Square 0.582100522 Adjusted R Square 0.549954408 Standard Error 0.312775221 Observations 15 ANOVA df SS MS F Significance F Regression 1 1.771471591 1.771471591 18.10795938 0.000937839 Residual 13 1.271768409 0.097828339 Total 14 3.04324 Coefficients Standard Error t Stat P-value Lower 95% Intercept 1.052741801 0.420314491 2.504652644 0.026356483 0.144707549 x 0.001533423 0.000360352 4.255344802 0.000937839 0.000754929

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