1. The data represent approximate time in hours spent training for a marathon (X) and approximate time to complete the marathon in hours (Y).

X Y

8 2

4 2

2 4

1 5

5 2

(a) Compute the Pearson's Product Moment correlation coefficient.

(b) Show a scatterplot of the data.

(c) Simple linear regression model.

(d) State the null hypothesis and alternative hypothesis.

(e) Conduct a simple linear regression analysis.

(f) Interpret your results.