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The data shown in Table 2 are based on a study conducted with a group of dietitians to see if the number of grams of fat per daily intake is related to cholesterol levels. If there is a significant relationship, predict the cholesterol level of a person on a diet consuming 8.5 grams of fat per day.
a. Draw the scatter plot. b. Compute the value of the correlation coefficient. c. Test the significance of the correlation coefficient at α=0.05. d. Determine the regression line equation if r is significant. e. Plot the regression line on the scatter plot if appropriate. f. Predict y′ for a specific value of x if appropriate. g. Find the standard error of the estimate.
h. Find the 95% prediction interval of the cholesterol level of a person who consumes 10 grams of fat.