Test interviews of two personnel evaluation techniques are available, the first requires a two-hour test interview while the second can be completed in less than an hour. The table below is the output of the regression analysis of the 15 individuals who took both tests: (i) Calculate the sample correlation coefficient between Test 1 and Test 2 (ii) if the correlation of determination between test 1 and test 2 is M. Comment on the value of this correlation determination.

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Test interviews of two personnel evaluation techniques are available, the first requires a two-hour test interview while the second can be completed in less than an hour. The table below is the output of the regression analysis of the 15 individuals who took both tests:

(i) Calculate the sample correlation coefficient between Test 1 and Test 2

(ii) if the correlation of determination between test 1 and test 2 is M. Comment on the value of this correlation determination.

 

Regression Statistics
Multiple R
0.953935025
R Square
Adjusted R
Square
0.903068342
Standard Error
3.134808415
Observations
15
ANOVA
Significance
df
SS
MS
F
F
Regression
1
1291.582
1291.582
131.4316573
3.60668E-08
Residual
13
127.7513
9.827024
Total
14
1419.333
Standard
Coefficients
Error
t Stat
P-value
Lower 95%
Upper 95%
Intercept
11.66533278
5.295713
-2.20279
0.046260025
-23.1060256
-0.224639973
Test 1 (X)
0.755016772
0.065858
J
3.60668E-08
IN
Transcribed Image Text:Regression Statistics Multiple R 0.953935025 R Square Adjusted R Square 0.903068342 Standard Error 3.134808415 Observations 15 ANOVA Significance df SS MS F F Regression 1 1291.582 1291.582 131.4316573 3.60668E-08 Residual 13 127.7513 9.827024 Total 14 1419.333 Standard Coefficients Error t Stat P-value Lower 95% Upper 95% Intercept 11.66533278 5.295713 -2.20279 0.046260025 -23.1060256 -0.224639973 Test 1 (X) 0.755016772 0.065858 J 3.60668E-08 IN
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