Section Problems #41.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= b0+ b1x. What is b0? What is b1?2.The points (1,1), (2,7), and (3,1) are plotted in a scatterplot. In this example, when yis regressed on x, the equation of the OLS regression line is yˆ= b0, where b0is a constant. What is b0?3.Suppose we measure two variables xand yon each of several subjects. We standardize both variables and compute the least-squares regression line of yon xfor these standardized values. The fraction of the variation in yexplained by the least-squares regression of yon xis 0.16. What is b0? What is b1?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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