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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
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. B:Click the icon to view the women's data. (a) Find the least-squares regression line treating cola consumption per week as the explanatory variable. y = [x+0) (Round to four decimal places as needed.) (b) Interpret the slope. Select the correct choice below and, if necessary. fill in the answer box to complete your choice. O A. For a bone density of 0 g / cm". the number of colas consumed is predicted to be. (Round to four decimal places B. For 0 colas consumed in a week, the bone density is predicted to be |9/om . - X (Round to four decimal places as needed.) Colas per Week and Bone Density O C. For every unit increase in bone density, the number of colas decreases by | . on average. (Round to four decimal places as needed.) colas per week Bone Mineral Density (g/cm]) OD. For every additional cola consumed per week. the bone density decreases by | | 9 / cm, on average. 0 0.907 (Round to four decimal places as needed.) 0.874 O E. It is not appropriate to interpret the slope. 0.886 0.853 (c) Interpret the intercept. Select the correct choice below and, if necessary. fill in the answer box to complete your choice. 0.864 0.847 O A. For every additional cola consumed per week. the bone density decreases by | | 9 / cm, on average. 0.845 (Round to four decimal places as needed.) 0.832 NOUMUm w NNNN- - O B. For 0 colas consumed in a week, the bone density is predicted to be |g /om 0.787 0.792 (Round to four decimal places as needed.) 0.788 O C. For every unit increase in bone density, the number of colas decreases by | . on average. 0.787 (Round to four decimal places as needed.) 0.763 0.751 O D. For a bone density of 0 9 / cm". the number of colas consumed is predicted to be | in 0.74 (Round to four decimal places as needed.) O E. It is not appropriate to interpret the intercept. (d) Predict the bone mineral density of the femoral neck of a woman who consumes four colas per week. y=19/ cm] (Round to three decimal places as needed.) Print Done (e) The res earchers found a woman who consumed four colas per week to have a bone mineral density of 0.808 g / cm. Is this woman's bone This woman's bone density is the average of g/ cm'. (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 cans of cola per day? Why? O A. No-an x-value that represents a woman consuming two colas per day is outside the scope of the model. O B. Yes-the calculated model can be used for any number of colas consumed per day. O C. -an x-value that represents a woman consuming two colas per day is possible and within the scope of the model. O D. No-an x-value that represen consuming two colas per day is not possible. O E. More information regarding the woman is necessary to make the decision
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