statistics

Managers rate employees according to job performance and attitude. The results for several

randomly selected employees are given below.

Performance     59   63   65   69   58   77   76   69   70   64

Attitude               72   67   78   82   75   87   92   83   87   78

1.  Construct and show a scatterplot of the data.  Does it show a positive correlation, negative correlation or no correlation?

2. Find the value of the linear correlation coefficient r.

3.  Find the critical values for a = 0.05.

4.  Based on the critical value and the correlation coefficient, is there sufficient evidence to conclude that there is linear correlation between job performance and attitude?  Explain why or why not.

5.  Find the value of r² and explain its meaning.