2. A corporation administers an aptitude test to al new sales representatives. Management is interested in the extent to which this test is able to predict their eventual success. The accompanying table records average weekly sales (£1,000) and aptitude test scores for a random sample of eight representatives. Weekly 10 12 28 24 18 16 15 12 sales

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A corporation administers an aptitude test to al new sales
representatives. Management is interested in the extent to which this test
is able to predict their eventual success. The accompanying table records
average weekly sales (£1,000) and aptitude test scores for a random sample
of eight representatives.
2.
Weekly
10 12
18 16
15
12
28
24
sales
Test score
55 60 85 75
80 85 65
60
a) Estimate the linear regression of weekly sales on aptitude test scores.
b) Interpret the estimated slope of the regression line.
c) Find SSR, SSE, SST.
d) Find the coefficient of determination, R² and interpret it.
Transcribed Image Text:A corporation administers an aptitude test to al new sales representatives. Management is interested in the extent to which this test is able to predict their eventual success. The accompanying table records average weekly sales (£1,000) and aptitude test scores for a random sample of eight representatives. 2. Weekly 10 12 18 16 15 12 28 24 sales Test score 55 60 85 75 80 85 65 60 a) Estimate the linear regression of weekly sales on aptitude test scores. b) Interpret the estimated slope of the regression line. c) Find SSR, SSE, SST. d) Find the coefficient of determination, R² and interpret it.
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