The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a correlation? Use a significance level of =0.01.

Best Actress- 27, 31, 28, 60, 33, 34, 45, 28, 60, 21, 46, 52

Best Actor- 45, 38, 39, 43, 53, 46, 61, 53, 40, 58, 44, 34

Questions:

1. Construct a scatterplot.

2. The linear correlation is r= ________________ (round to three decimal place as needed.)

3. Determine the null and alternative hypotheses. H0:p _____ 0, H1:p= ________ 0

4. The test statistic is t= __________________ (round to two decimal places as needed.)

5. The P-value is _________________ (round to three decimal places as needed.)

6. Becasue the P-value of the linear correlation coefficient is ____________________ the significance level, there is _______________ sufficient evidence to support the claim that there is a linear correlation between the ages of Best Actresses and Best Actors.

7. Should we expect that there would be a correlation?