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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 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. (...) (a) Find the least-squares regression line treating cola consumption per week as the explanatory variable. (Round to four decimal places as needed.)

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. (...) (a) Find the least-squares regression line treating cola consumption per week as the explanatory variable. (Round to four decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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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 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. (a) Find the least-squares regression line treating cola consumption per week as the explanatory variable. y=x+( (Round to four decimal places as needed.) Colas per Week and Bone Density colas per week 0 1 1 1 2 2 2 3 5 5 5 6 7 7 7 Print Bone Mineral Density (g/cm³) D 0.906 0.867 0.879 0.869 0.851 0.833 0.834 0.813 0.757 0.761 0.758 0.728 0.698 0.707 0.704 Done - X ●●●
Transcribed Image Text: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. (a) Find the least-squares regression line treating cola consumption per week as the explanatory variable. y=x+( (Round to four decimal places as needed.) Colas per Week and Bone Density colas per week 0 1 1 1 2 2 2 3 5 5 5 6 7 7 7 Print Bone Mineral Density (g/cm³) D 0.906 0.867 0.879 0.869 0.851 0.833 0.834 0.813 0.757 0.761 0.758 0.728 0.698 0.707 0.704 Done - X ●●●
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(b) Interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. For a bone density of 0 g/cm³, the number of colas consumed is predicted to be (Round to four decimal places as needed.) B. For 0 colas consumed in a week, the bone density is predicted to be (Round to four decimal places as needed.) g/cm³ O C. For every additional cola consumed per week, the bone density decreases by (Round to four decimal places as needed.) O D. For every unit increase in bone density, the number of colas decreases by (Round to four decimal places as needed.) O E. It is not appropriate to interpret the slope. g/cm³, on average. on average.
Transcribed Image Text:(b) Interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. For a bone density of 0 g/cm³, the number of colas consumed is predicted to be (Round to four decimal places as needed.) B. For 0 colas consumed in a week, the bone density is predicted to be (Round to four decimal places as needed.) g/cm³ O C. For every additional cola consumed per week, the bone density decreases by (Round to four decimal places as needed.) O D. For every unit increase in bone density, the number of colas decreases by (Round to four decimal places as needed.) O E. It is not appropriate to interpret the slope. g/cm³, on average. on average.
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