The percentages of American adults who have been diagnosed with diabetes for various ages is shown on the scatter plot below. Percent diagnosed 104 6 40 45 50 35 Age (years) The linear regression equation is: y = 0.401x - 13.002 a) State the value of the slope. The slope is: b) Use the model to predict the percent of American adults diagnosed with diabetes who are 47 years old. Give the calculation and values you used as a way to show your work: Give your final answer for the predicted percent diagnosed:c) Find the residual in percent diagnosed for 47 year old American adults, given that the graph indicates that 5 percent of 47 year olds in the sample were diagnosed. Give the calculation and values you used as a way to show your work: Give your final answer for the residual: d) Use the model to predict the percent of American adults diagnosed with diabetes who are 79 years old. Give the calculation and values you used as a way to show your work: Give your final answer for the predicted percent diagnosed: e) Is your answer from part d above an appropriate prediction? Yes or No? Why or why not