3:49 Question #24/25 A popular, nationwide standardized test taken by high-schoo

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3:49 Question #24/25 A popular, nationwide standardized test taken by high-school juniors and seniors may or may not measure academic potential, but we can nonetheless attempt to predict performance in college from performance on this test. We have chosen a random sample of fifteen students just finishing their first year of college, and for each student we've recorded her score on this standardized test (from 400 to 1600) and her grade point average (trom 0 to 4) for her first year in college. The data are shown below, with x denoting the score on the standardized test and y denoting the first-year college grade point average. The least- squares regression line for these data is y = 0.91 12+0.001 7x . This line is shown in the scatter plot in Figure1 tst Grade point average. score x 1070 2.92 3.38 2.09 3.24 244 2.68 930 990 1270 1100 1410 2.26 3.24 2.28 3.53 3.04 3.32 2.60 2.32 1360 3a 910 870 Send data Figure 1

Explanation / Answer

1. Since the correlation is positive; Greater than

2. Corresponding increase = Slope = 0.0017

3. For x = 1270,

y = 0.9112 + 0.0017(1270) = 3.07

4. Observed score = 3.14

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