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section_problems_4_fall11

# section_problems_4_fall11 - Section Problems#4 1 When y is...

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Section Problems #4 1. When y is regressed on x , the OLS regression line goes through the points (1,2) and (3,6). The equation of the OLS regression line is y_hat = b 0 + b 1 x . What is b 0 ? What is b 1 ? 2. The points (1,1), (2,7), and (3,1) are plotted in a scatterplot. In this example, when y is regressed on x , the equation of the OLS regression line is y ˆ = b 0 , where b 0 is a constant. What is b 0 ? 3. Suppose we measure two variables x and y on each of several subjects. We standardize both variables and compute the least-squares regression line of y on x for these standardized values. The fraction of the variation in y explained by the least-squares regression of y on x is 0.16. What is b 0 ? What is b 1 ? 4. A researcher wishes to determine whether the rate of water flow (in liters per second) over an experimental soil bed can be used to predict the amount of soil washed away (in kilograms). The researcher measures the amount of soil washed away for various flow rates, and from these data calculates the least-squares regression line to be:
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