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Least squares regression: four questions

1. The least squares regression line given above is said to be a line which "best fits" the sample data. The term "best fits" is used because the line has an equation that minimizes the ______, which for these data is______.

2. For the data point (225.3, 308.1), the value of the residual is_____. (Round your answer to at least 2 decimal places.)

3. The total variation in the sample y values is given by the _____, which for these data is_____.

4. The value r2 is the proportion of the total variation in the sample y values that is explained by the estimated linear relationship between x and y. For these data, the value of r2 is____.

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This solution answers four questions about a least squares regression analysis.

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