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.
- B) Still interpreting B1, check if it is statistically significant
- i) what is its p-value
- 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?
- Does the regression line look like it fits the data well?
- What percent of the variation in PERFORMANCE can be explained by TRAINING?
- If someone has 20 hours of training, what do we predict their performance time will be?
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