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In: Statistics and Probability

Correlation and Regression 10 bowlers were randomly selected and were asked how long they have bowled...

Correlation and Regression

10 bowlers were randomly selected and were asked how long they have bowled (in years) and their current bowling average. The results are below:

Bowler #

1

2

3

4

5

6

7

8

9

10

Years bowling (x):

1

10

5

3

8

20

4

6

5

4

Current average (y):

70

185

165

120

195

200

150

170

150

135

  1. Compute r by hand and check your results with the calculator.
  1. Perform a t-test for the correlation coefficient using α = 0.05
  1. Find the linear regression model for this data. (Check a and b on your calculator.)
  1. Use your model to predict the Bowling average of a person with 12 years of experience.
  1. Use your model to predict the years of experience for a bowler with a 175 bowling average.

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