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# Consider the following regression analysis for predicting sales per week from intelligence and ...

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Consider the following regression analysis for predicting sales per week from intelligence and extroversion scores:

The regression equation is

Sales/Week = 994 + 8.22 Intelligence + 49.7 Extroversion

Term          Coef SE    Coef   T-Value    P-Value

Constant          994     788      1.26      0.224

Intelligence     8.22    7.01      1.17      0.257

Extroversion     49.7    19.6      2.53      0.021

332.069 35.26% 27.65% 10.66%

Analysis of Variance

Regression   2   1021166    510583      4.63     0.025

Error       17   1874584    110270

Total       19   2895750

Predicted Values for New Observations

New

Obs    Fit SE       Fit         90% CI               90% PI

1   2885.62   167.445   (2594.34, 3176.91)   (2238.67, 3532.58)

2   3379.99   176.933   (3072.19, 3687.78)   (2725.43, 4034.54)

3   2785.05   100.991   (2609.35, 2960.72)   (2181.25, 3388.83)

Values of Predictors for New Observations

New

Obs   Intelligence   Extroversion

1             85             24

2            127             27

3            103             19

What is a 90% confidence interval for the average sales per week for all people with an intelligence score of 103 and an extroversion score of 19?

(2594.34, 3176.91)

(2609.35, 2960.72)

(2181.25, 3388.83)

(3072.19, 3687.78)

Textbook

## Introductory Statistics: A Problem-Solving Approach

Edition: 3rd
Author:
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IgnesiasIgnesias
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