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Coefficient of Correlation, Determination, & Test

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What is the relationship between the amount spent per week on food and the size of the family? Do larger families spend more on food? A sample of 10 families in the Chicago area revealed the following figures for family size and the amount spent of food per week.

Family Size Amount Spent
3 $99
6 $104
5 $151
6 $129
6 $142

Family Size Amount Spent
3 $111
4 $74
4 $91
5 $119
3 $91

a. Compute the coefficient of correlation.
b. Determine the coefficient of determination.
c. Can we conclude that there is a positive association between the amount spent on food and the family size? Use the .05 significance level.

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Solution Summary

The solution finds the coefficient of correlation, determination and test for correlation coefficient.

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a)

family size(x) amt ...

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