Question

In: Statistics and Probability

What is the predicted performance time(rounding to the nearest 10th decimal) for administrator 1?

Admin Experience Complexity Performance
1 26 1 45
2 32 3 78
3 8 3 120
4 60 2 68
5 72 5 140
6 20 5 135

Question 1. What is the predicted performance time(rounding to the nearest 10th decimal) for administrator 1?

Question 2. What is the predicted performance time(rounding to the nearest 10th decimal) for administrator 2?

Question 3. What is the predicted performance time(rounding to the nearest 10th decimal) for administrator 3?

Question 4. What is the predicted performance time(rounding to the nearest 10th decimal) for administrator 4?

Question 5. What is the predicted performance time(rounding to the nearest 10th decimal) for administrator 5?

Question 6. What is the predicted performance time(rounding to the nearest 10th decimal) for administrator 6?

Solutions

Expert Solution

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.946311411
R Square 0.895505286
Adjusted R Square 0.738763215
Standard Error 20.09050147
Observations 6
ANOVA
df SS MS F Significance F
Regression 3 6918.076835 2306.025612 5.71324137 0.15257313
Residual 2 807.2564985 403.6282493
Total 5 7725.333333
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept 30.70050067 22.08190995 1.390300963 0.298947824 -64.31028944 125.7112908 -64.3102894 125.7112908
Admin 2.67257088 9.098576289 0.293735063 0.796638159 -36.47544322 41.82058498 -36.4754432 41.82058498
Experience -0.245972085 0.387988685 -0.63396716 0.590939069 -1.91535266 1.423408491 -1.91535266 1.423408491
Complexity 21.01552221 10.27636907 2.045033813 0.1775107 -23.2001252 65.23116962 -23.2001252 65.23116962

performance time = 30.70050067 + 2.67257088 Admin - 0.245972085 Experience + 21.01552221 Complexity

the predicted performance time(rounding to the nearest 10th decimal) for administrator 1

performance time = 30.70050067 + 2.67257088 Admin - 0.245972085 Experience + 21.01552221 Complexity

= 30.70050067 + 2.67257088 * 1 - 0.245972085 * 26 + 21.01552221 * 1

= 47.9933195500

the predicted performance time(rounding to the nearest 10th decimal) for administrator 2

performance time = 30.70050067 + 2.67257088 * 2 - 0.245972085 * 32 + 21.01552221 *3

= 91.2211023400

the predicted performance time(rounding to the nearest 10th decimal) for administrator 3

performance time = 30.70050067 + 2.67257088 * 3 - 0.245972085 * 8 + 21.01552221 *3

= 99.7970032600

the predicted performance time(rounding to the nearest 10th decimal) for administrator 4

performance time = 30.70050067 + 2.67257088 * 4 - 0.245972085 * 60 + 21.01552221 *2

= 68.6635035100

the predicted performance time(rounding to the nearest 10th decimal) for administrator 5

performance time = 30.70050067 + 2.67257088 * 5 - 0.245972085 * 72 + 21.01552221 *5

= 131.4309760000

the predicted performance time(rounding to the nearest 10th decimal) for administrator 6

performance time = 30.70050067 + 2.67257088 * 6 - 0.245972085 * 20 + 21.01552221 *5

= 146.8940953000


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