Question: Does Practice Make Perfect? Training Performance 27 19 24 16 12 12 22 17 13 10 29 19 14 15 20 14 16 15 21

Does Practice Make Perfect?

Training

Performance

27

19

24

16

12

12

22

17

13

10

29

19

14

15

20

14

16

15

21

21

22

14

25

22

23

22

18

15

20

14

15

15

13

16

20

15

Use the Data set PRACTICE, to answer the following questions. It is a sample of eighteen randomly selected factory line workers. Training time (in hours) and Performance time (minutes)

First, create 1) a scatterplot and 2) run a simple regression of PERFORMANCE = F(TRAINING)

A). Interpret the meaning of the intercept Bo and the slope B1 in this problem.

  1. B) Still interpreting B1, check if it is statistically significant
  2. i) what is its p-value
  3. ii) conduct a hypothesis test of the null hypothesis that B1 = 0 What is the T-statistic? Do we reject or fail to reject the null hypothesis at the 0.05 error level?
  • What is the 95% confidence interval of B1? Does this include 0? What does it mean?

  1. Does the regression line look like it fits the data well?

  1. What percent of the variation in PERFORMANCE can be explained by TRAINING?

  1. If someone has 20 hours of training, what do we predict their performance time will be?

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