108 Additional summaries are given below. Obs 1 3 30 Mean SD Age 18 20 22 82 51.000 21.776 Dist 510 590 560 360 423.33 81.720 ... (a) Identify the explanatory and response variables. (b) Calculate the...

Question 36

Extracted text: 108 Additional summaries are given below. Obs 1 3 30 Mean SD Age 18 20 22 82 51.000 21.776 Dist 510 590 560 360 423.33 81.720 ... (a) Identify the explanatory and response variables. (b) Calculate the least squares regression line using formulas. Report your line in context. (c) Interpret the slope in terms of the problem. (d) Interpret the intercept in terms of the problem. Is the interpretation appropriate? Explain. (e) Use the line to predict the distance of sign legibility for a person who is 22. (f) Find the residual for the person aged 22. (g) Find and interpret the coefficient of determination. 36. Which value of correlation, -0.8 or 0.6, will give a higher coefficient of determination and therefore stronger fit? 37. A study by Wolfinger in 2015 showed that the probability of divorce decreases with marriage age for people who were married between 18 and 32 years old. Would it be appropriate to use this decreasing trend to predict the probability of divorce for a person who was married at 65 years old? Why or why not? What poor practice in regression does this illustrate? Note: His study found that the probability of divorcing when married after 32 actually has an increasing trend! 38. Which best describes the shaded point in Figure 7.10? Figure 7.10: Assessing individual points in a scatterplot 20 00 10 5 10 15 (a) The point is resistant. (b) The point is an outlier in the y direction. (c) The point is influential. 0.5 1.5 0'0