Q # 12 Complete parts (a) through (h) for the data below. 20 30 40 50 60 y 80 75 70 63 50 (a) By hand, draw a scatter diagram treating x as the explanatory variable and y as the response variable. Choose the correct scatter diagram below. O A. O B. O C. 70- 70- Q 100- 107 70 100 70 (b) Find the equation of the line containing the points (30,75) and (60,50) y= x + () (Type integers or simplified fractions.) (d) By hand, determine the least-squares regression line. (f) Compute the sum of the squared residuals for the line found in part (b).| (g) Compute the sum of the squared residuals for the least-squares regression line found in part (d). (h) Comment on the fit of the line found in part (b) versus the least-squares regression line found in part (d). The line in part passes through the most points. The line in part the sum of the squared residuals, thus being the best-fitting line.Q#15 Because colas tend to replace healthier beverages and colas contain caffeine and phosphoric acid, researchers wanted to know whether cola consumption is associated with lower bone mineral density in women. The accompanying data lists the typical number of cans of cola consumed in a week and the femoral neck bone mineral density for a sample of 15 women. Complete parts (a) through (f) below. Click the icon to view the women's data. colas per week Bone Mineral Density (g/cm") 0.908 0.871 0.882 0.873 0.858 0.841 0.816 NONO On A WONN---O 0.824 0.798 0.778 0.775 0.773 0.722 0.731 0.727in) Find the least-squares regression line treating cola consumption per week as the explanatory variable. =DI+ED {Round to three decimal places as needed.) {h} Interpret the slope. Select the correct choice below and. if necessary. ll in the answer box to complete your choice. DA. For every cola consumed per week. the bone density decreases by I g! ems. on average. {Round to three decimal places as needed.) 0 3- For every unit increase in bone density. the number of colas decreases by |___!. on average. {Round to three decimal places as needed.) 0 C. For 0 colas conSumed in a week. the bone density is predicted to be i gr'cm3_ {Round to three decimal places as needed.) {c) Interpret the y-intercept. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. I t A For a bone density of 0 gfcma, the number of colas consumed is predicted to be in (Round to three decimal places as needed.) 1' B' For 0 colas consumed in a week. the bone density is predicted to be g lama. (Round to lhrea decimal places as needed.) (3- For every unit increase in bone density. the number ofcolas decreases by . on average. (Round to three decimal places as needed.) 0' For every cote consumed per week. the bone density decreases by gr' cma. on average. (Round to three decimal places as needed.) (d) Predict the bone mineral density of the femoral neck of a women who consumes three colas per week. = D g i' cm3 {Round to three decimal places as needed.) (f) Would you recommend using the model found in part (a) to predict the bone mineral density of a woman who consumes two colas per day? Why? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. Yes-an x-value that represents a woman consuming colas per week is possible and within the scope of the model. (Type an integer or a simplified fraction.) O B. No-an x-value that represents a woman consuming colas per week is not possible. (Type an integer or a simplified fraction.) O C. No-an x-value that represents a woman consuming colas per week is outside the scope of the model. (Type an integer or a simplified fraction.) O D. Yes-the calculated model can be used for any number of colas consumed per week. O E. More information regarding the woman is necessary to make the decision