The scatte'rplot on the right shows the weights (in kg) and hip 100 girths (in cm) of 249 physically active women age 1845. Here is a summary of the data: Body weight (kg) Hip girth (cm) Weight (kg) .4 on Mean 60.694 95.603 60 SD 9.639 6.945 COrrelation *r m 0.905 50 BO 90 100 110 120 130 Hip Girih(cm) (a) Write down the equation of the regression line for predicting a woman's weight in kilograms from her hip girth in centimeters. (h) Interpret the slope and the intercept for the regression line in the previous part in this context. (c) Calculate R2 of the regression line for predicting weight from hip girth, and interpret it in the context of the application. (d) A randomly selected female student from your class has a hip girth of 90 cm. Predict the weight of this student using the regressiOn line. (e) The student in the previous part weighs 55 kg. Calculate the residual, and explain what this residual means. (f) Yihi's oneyearold son has a hip girth of 56 om. Would it be appropriate to use the regression line in part (b) to predict the weight of this baby? (g) Can we use the regression line in part (b) to predict the weight of an adult man with a hip girth of 110 cm? Explain your answer. Hint: Note that the sample includes women only. (h) Can we use the regression line in part (b) to predict the hip girth of a 35year old woman who weighs 80 kg? Explain your answer. (i) How would the correlation 1' change if one wants to predict a woman's hip girth from her weight? (j) Find the equation of the regression line for predicting a woman's hip girth from her weight, and use the equation to predict the hip girth of a 35year old woman weighs 80 kg. (k) How would the correlation 1' change if weight was measured in pounds while the units for hip girth remained in centimeters? (1 pound = 0.454 kg)