Consider the following pairs of measurements. x 4 3 -1 2 8 6 4 y 5 4 0 1 9 5 3 a. Construct a scatterplot of these data. Choose the correct graph below. A. B. C. D. b. What does the scatterplot suggest about the relationship between x and y? A. As x increases, y tends to decrease. Thus, there appears to be a negative, linear relationship between x and y. B. As x increases, y tends to increase. Thus, there appears to be a positive, linear relationship between x and y. C. As x increases, y tends to decrease. Thus, there appears to be a positive, linear relationship between x and y. D. As x increases, y tends to increase. Thus, there appears to be a negative, linear relationship between x and y. c. Find the least squares estimates of beta_0 and beta_1. beta_0 = beta_1 = (Round to three decimal places as needed.) d. Plot the least squares line on your scatterplot. Does the line appear to fit the data well? Explain. Choose the correct graph below. A. B. C. D. Does the line appear to fit the data well? Explain. A. The line appears to fit the data quite well because at least one of the data points lies on the line. B. The line does not appear to fit the data well because the variation of the data points around the line is very large. C. The line does not appear to fit the data well because the data points do not all lie on the line. D. The line appears to fit the data quite well because the variation of the data points around the line is not very large.
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