A study was made to determine the effect of Delivery Speed, Image, and Service i
ID: 3252487 • Letter: A
Question
A study was made to determine the effect of Delivery Speed, Image, and Service in Sales Image. The study yielded the following data.
Delivery Speed
Image
Service
Sales Image
4.1
4.7
2.4
2.3
1.8
6.6
2.5
4
3.4
6
4.3
2.7
2.7
5.9
1.8
2.3
6
7.8
3.4
4.6
1.9
4.8
2.6
1.9
4.6
6.6
3.5
4.5
1.3
5.1
2.8
2.2
5.5
4.7
3.5
3
4
6
3.7
3.2
2.4
4.8
2
2.8
3.9
4.6
3
2.5
2.8
3.8
2.1
1.4
3.7
5.7
2.7
3.7
4.7
6.7
3
2.6
3.4
4.7
2.7
1.7
3.2
5.1
3.6
2.9
4.9
4.3
3.4
1.5
5.3
6.1
3.3
3.9
4.7
6.7
3
2.6
3.3
4
2.1
1.8
3.4
2.5
1.2
1.7
3
7.1
3.5
3.4
2.4
4.8
1.9
2.5
5.1
4.8
3.3
2.6
4.6
5.8
3.4
2.8
2.4
4.8
1.9
2.5
5.2
6.1
3.2
3.9
3.5
3.5
3.1
1.7
4.1
5.5
3.9
3
What is your estimate of the Sales Image if Delivery speed = 2.4, Image=4.8, and Service 3.9? Post analysis from Minitab.
Delivery Speed
Image
Service
Sales Image
4.1
4.7
2.4
2.3
1.8
6.6
2.5
4
3.4
6
4.3
2.7
2.7
5.9
1.8
2.3
6
7.8
3.4
4.6
1.9
4.8
2.6
1.9
4.6
6.6
3.5
4.5
1.3
5.1
2.8
2.2
5.5
4.7
3.5
3
4
6
3.7
3.2
2.4
4.8
2
2.8
3.9
4.6
3
2.5
2.8
3.8
2.1
1.4
3.7
5.7
2.7
3.7
4.7
6.7
3
2.6
3.4
4.7
2.7
1.7
3.2
5.1
3.6
2.9
4.9
4.3
3.4
1.5
5.3
6.1
3.3
3.9
4.7
6.7
3
2.6
3.3
4
2.1
1.8
3.4
2.5
1.2
1.7
3
7.1
3.5
3.4
2.4
4.8
1.9
2.5
5.1
4.8
3.3
2.6
4.6
5.8
3.4
2.8
2.4
4.8
1.9
2.5
5.2
6.1
3.2
3.9
3.5
3.5
3.1
1.7
4.1
5.5
3.9
3
Explanation / Answer
Answer:
What is your estimate of the Sales Image if Delivery speed = 2.4, Image=4.8, and Service 3.9? Post analysis from Minitab.
Regression Analysis: Sales Image versus Delivery Speed, Image, Service
Analysis of Variance
Source DF Seq SS Contribution Adj SS Adj MS F-Value P-Value
Regression 3 13.7934 63.70% 13.7934 4.59779 15.21 0.000
Delivery Speed 1 3.0862 14.25% 0.5216 0.52163 1.73 0.200
Image 1 10.6808 49.33% 9.1675 9.16752 30.33 0.000
Service 1 0.0264 0.12% 0.0264 0.02641 0.09 0.770
Error 26 7.8586 36.30% 7.8586 0.30225
Lack-of-Fit 24 7.8586 36.30% 7.8586 0.32744 * *
Pure Error 2 0.0000 0.00% 0.0000 0.00000
Total 29 21.6520 100.00%
Model Summary
S R-sq R-sq(adj) PRESS R-sq(pred)
0.549777 63.70% 59.52% 10.4554 51.71%
Coefficients
Term Coef SE Coef 95% CI T-Value P-Value VIF
Constant -0.578 0.532 ( -1.672, 0.516) -1.09 0.287
Delivery Speed 0.1309 0.0997 (-0.0739, 0.3357) 1.31 0.200 1.36
Image 0.562 0.102 ( 0.352, 0.771) 5.51 0.000 1.33
Service -0.054 0.182 ( -0.427, 0.320) -0.30 0.770 1.66
Regression Equation
Sales Image = -0.578 + 0.1309 Delivery Speed + 0.562 Image - 0.054 Service
Fits and Diagnostics for Unusual Observations
Sales
Obs Image Fit SE Fit 95% CI Resid Std Resid Del Resid HI Cook’s D
15 2.600 3.639 0.186 (3.256, 4.021) -1.039 -2.01 -2.14 0.114621 0.13
20 2.600 3.639 0.186 (3.256, 4.021) -1.039 -2.01 -2.14 0.114621 0.13
Obs DFITS
15 -0.770854 R
20 -0.770854 R
R Large residual
Prediction for Sales Image
Regression Equation
Sales Image = -0.578 + 0.1309 Delivery Speed + 0.562 Image - 0.054 Service
Variable Setting
Delivery Speed 2.4
Image 4.8
Service 3.9
Fit SE Fit 95% CI 95% PI
2.22237 0.303799 (1.59790, 2.84683) (0.931225, 3.51351)
Estimated value of the Sales Image if Delivery speed = 2.4, Image=4.8, and Service 3.9 is 2.22237
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