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# Regression Analysis: Shoe Size & Weight

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a) Construct a scatter plot for these data
b) Using alpha = 0.10, test for the significance of the regression slope
c) Construct a 90% confidence interval for the population slope.

Shoe Size / Weight
7.5 / 7.2
8.0 / 7.8
9.0 / 8.0
8.5 / 9.4
8.5 / 7.7
8.0 / 6.9
8.5 / 9.2
7.5 / 6.5
8.0 / 9.1
9.0 / 9.8

Shoe size on left. Weight on right. I am not sure how what this question truly wants from me or how I am supposed to set my equations up in order to get to the answers.

https://brainmass.com/statistics/correlation-and-regression-analysis/regression-analysis-shoe-size-weight-576848

#### Solution Preview

Please see the attachments for full workings with equations and graphs.

Statistics help
Shoe Size / Weight
7.5 / 7.2
8.0 / 7.8
9.0 / 8.0
8.5 / 9.4
8.5 / 7.7
8.0 / 6.9
8.5 / 9.2
7.5 / 6.5
8.0 / 9.1
9.0 / 9.8
Dependent variable: Shoe Size
Independent variable: Weight
a) Construct a scatter plot for these data

b) Using alpha = 0.10, test for the significance of the regression slope
Weight, X Shoe Size, Y X^2 Y^2 XY
7.2 7.5 51.84 56.25 54
7.8 8 60.84 64 62.4
8 9 64 81 72
9.4 8.5 88.36 72.25 79.9
7.7 8.5 59.29 72.25 65.45
6.9 8 47.61 64 55.2
9.2 8.5 84.64 72.25 78.2
6.5 7.5 42.25 56.25 48.75
9.1 8 82.81 64 72.8
9.8 9 96.04 81 88.2
81.6 82.5 677.68 683.25 676.9

The general ...

#### Solution Summary

The solution provides step by step method for the calculation of regression analysis. Formula for the calculation and Interpretations of the results are also included.

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