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# 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.