please help
Use the seven residuals to construct a residual plot. Residual Residual Residual Residual zoo , zoo . 100 O O 100 O O l I 0 0 O 100 100 0 200 o o 200 x x 40 60 80 40 60 80 (c) What does the residual plot suggest about the appropriateness of using a line to describe the relationship between representative age and swim distance? The clear curve In the residual plot suggests that a linear model Is appropriate for modeling the relationship between representative age and swim distance. The lack of a strong pattern in the residual plot suggests that a linear model is appropriate. The clear curve in the residual plot suggesl: that a linear model is not appropriate for modeling the relationship between representative age and swim distance. The lack of a strong pattern in the residual plot suggests that a linear model is not appropriate. The clear linear pattern in the residual plot suggests that a linear model is appropriate for modeling the relationship between representative age and swim distance. (d) Would it be reasonable to use the least-squares line from part (a) to predict the average swim distance for women age 40 to 49 by substituting the representative age of 45 into the equation of the leastsquares line? Explain. Yes. Although the least-squares line in part (a) was calculated using the data for men, we can assume this line would also apply to women. Yes. The least-squares line In part (a) was calculated using data for men and women, so we can assume this line would also apply to women age 40 to 49. No. The least-squares line in part (a) was not calculated using data for people age 40 to 49, so we have no reason to believe that this line would also apply to women age 40 to 49. No. The least-squares line in part (a) was calculated using the data for men, and we have no reason to believe that this line would also apply to women. A research paper describes a study of the relationship between age and 1-hour swimming performance. Data on age and swim distance for over 10,000 men participating in a national long-distance 1-hour swimming competition are summarized in the accompanying table. Representative Age Average Swim Distance Age Group (Midpoint of Age Group) (meters) 20-29 25 3903.5 30-39 35 3718.8 40-49 45 3579.4 50-59 55 3371.9 60-69 65 3000.1 70-79 75 2659.0 80-89 85 2118.4 (a) Find the equation of the least-squares line with x = representative age and y = average swim distance. (Round your numerical values to three decimal places.) (b) Compute the seven residuals. (Round your answers to three decimal places.) Representative Age (x) Residual (meters) 25 35 45 55 65 75 85 Use the seven residuals to construct a residual plot. Residual Residual Residual Residual 200 200 200 200 100 100 100 100 -100 -100 -100 -100 -200 -200 -200 -200 LX X 20 40 60 80 20 40 60 80 20 40 60 80 20 40 60 80
