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Coefficient of determination

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The test scores of 6 randomly picked students and the numbers of hours they prepared are as follows:
Hours: 5 10 4 6 10 9
Score: 64 86 69 86 59 87

The equation of the regression line is y(^on top)=1.06604x+67.3491. Find the coefficient of determination.

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In simple linear regression model the coefficient of determination R^2 is the square ...

Solution Summary

The solution describes the determination of the coefficient of determination.

$2.19
See Also This Related BrainMass Solution

Regression Equation: Slope Coefficient Determination

A sample of 12 homes sold last week in St Paul, Minnesota, is selected. The results are shown below

Home Size (1000 square feet) Home Price ($1000)
1.4 100
1.3 110
1.2 105
1.1 120
1.4 80
1 105
1.3 110
0.8 85
1.2 105
0.9 75
1.1 70
1.1 95

Create a scatterplot. Insert the trendline into the graph and show the regression equation.

-What is the regression equation? Identify the slope and y-intercept.
-What does the slope tell you?
-Determine and interpret the coefficient of determination.
-What would be the estimated selling price of a home that has one thousand square feet?

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