Lesson 12: Regression NAME Lab Assignment Answer the following questions showing all work. If you use Minitab/Minitab Express include the appropriate output (copy + paste) along with an explanation. Round all answers to 3 decimal places. If you have any questions, post them to the course discussion board. 1. Use the file SUMMER16STDATA.MTW to answer the following questions. A. Create a scatterplot with height on the X-axis and shoe size on the Yaxis. B. Describe the scatterplot that you made in part A in terms of direction, shape, strength, and outliers. C. Would it be appropriate to compute a Pearson's r as a measure of the relationship between these two variables? Why or why not? D. Compute the correlation (Pearson's r) for the relationship between height and shoe size and use the five-step hypothesis testing procedure to determine if the correlation is statistically significant. Lesson 12: Regression NAME Lab Assignment 2. Use the file BodyData.MTW to answer the following questions. A. Create a scatterplot with height on the X-axis and wrist diameter on the Y-axis. B. Use the five-step hypothesis testing procedure to determine if there is a statistically significant relationship between height and wrist diameter. (Use Pearson's r) C. Use the five-step hypothesis testing procedure to determine if height is a statistically significant predictor of wrist diameter. In other words, test for the significance of the slope in the simple linear regression model. Don't forget to check all of the necessary assumptions! D. Use the five-step hypothesis testing procedure to determine if wrist diameter is a statistically significant predictor of height. All assumptions have been met. E. How was the regression model impacted when the X and Y variables were switched? (i.e., compare the slope, y-intercept, p-values, and rsquared values) F. Use the five-step hypothesis testing procedure to determine if height is a statistically significant predictor of weight. All assumptions have been met. G. Bob is an adult. He is 170 cm tall. Use your regression equation from part H to predict Bob's weight. H. Bob's actual weight is 72 kg. What is Bob's residual? Lesson 12: Regression NAME Lab Assignment K. Bob has no knowledge of statistics. How would you explain what his residual means to him? L. Kelli is 5 years old. Would it be appropriate to use your regression model from part F to compute her residual? Why or why not? Lesson 12: Regression NAME Lab Assignment 3. A professor is concerned that a couple of his students may be cheating on their homework assignments. He would like to use regression methods to try to determine which students he should be concerned about cheating. He creates a simple linear regression model using homework grades to predict exam grades. Some of his output follows. Lesson 12: Regression NAME Lab Assignment Discuss how this professor could use this information to identify students who may be cheating. 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