Chapter 7
The following data represents the number of hits (x) and the number of strikeouts (y) for players on a college baseball team. Use the provided data below to complete parts a through f.
41
29
39
11
24
1
20
23
27
10
12
3
Use the above dataset to compute 0, 1, and the least squares line.
(y-)
(x-)2
(y-)2
(x-)(y-)
Calculate and. Interpret in the context of this baseball application.
Complete the following ANOVA table. (Hint: R2 = 1 – or use slide 97)
Source
df
Sum of Squares
Mean Square
F
Regression
Error
Total
Using the previous parts, complete a hypothesis test to assess how well number of hits predictors number of strikeouts. Use
Construct and Interpret a 99% Confidence Interval for .
How does your conclusions in parts b, d, and e confirm or contradict each other?
Construct and Interpret a 90% Confidence Interval for σ.
Construct and Interpret a 95% Confidence Interval for the average y at a given x*. Where x* is 15.
Using the same x* as in Part h, Construct and Interpret a 95% Prediction Limit for ynew at the given x*.
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