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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 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. E 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. Colas per week and bone density (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. colas per week Bone Mineral Density (g/cm) - 0.906 O A. For every unit increase in bone density, the number of colas decreases by. on average. (Round to four decimal places as needed.) 0.874 0.886 Question Viewe OB. O B. For 0 colas consumed in a week, the bone density is predicted to be 2 g/cm. 0.853 (Round to four decimal places as needed.) 2 0.864 2 0.847 OC. For a bone density of 0 g/cm, the number of colas consumed is predicted to be . 0.846 (Round to four decimal places as needed.) 0.832 O D. For every additional cola consumed per week, the bone density decreases by g/cm, on average. 4 0.810 (Round to four decimal places as needed.) 0.793 OE. It is not appropriate to interpret the slope. 0.789 0.788 (c) Interpret the intercept. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 0.763 7 0.752 OA For every unit increase in bone density, the number of colas decreases by (Round to four decimal places as needed.) O B. For a bone density of 0 g/cm, the number of colas consumed is predicted to be (Round to four decimal places as needed.) . on average. 8. 0.725 in O C. For every additional cola consumed per week, the bone density decreases by g/cm, on average. Print Done (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 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. E 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. Colas per week and bone density (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. colas per week Bone Mineral Density (g/cm) - 0.906 O A. For every unit increase in bone density, the number of colas decreases by. on average. (Round to four decimal places as needed.) 0.874 0.886 Question Viewe OB. O B. For 0 colas consumed in a week, the bone density is predicted to be 2 g/cm. 0.853 (Round to four decimal places as needed.) 2 0.864 2 0.847 OC. For a bone density of 0 g/cm, the number of colas consumed is predicted to be . 0.846 (Round to four decimal places as needed.) 0.832 O D. For every additional cola consumed per week, the bone density decreases by g/cm, on average. 4 0.810 (Round to four decimal places as needed.) 0.793 OE. It is not appropriate to interpret the slope. 0.789 0.788 (c) Interpret the intercept. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 0.763 7 0.752 OA For every unit increase in bone density, the number of colas decreases by (Round to four decimal places as needed.) O B. For a bone density of 0 g/cm, the number of colas consumed is predicted to be (Round to four decimal places as needed.) . on average. 8. 0.725 in O C. For every additional cola consumed per week, the bone density decreases by g/cm, on average. Print Done (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Analyzing the Impact of Cola Consumption on Bone Mineral Density** This study aims to explore whether cola consumption is associated with lower bone mineral density in women. The data provided includes the number of cola cans consumed per week and the corresponding femoral neck bone mineral density for a sample of 15 women. **Data Table: Colas per Week and Bone Density** - **Colas per week**: - 0, 1, 2, 2, 2, 3, 3, 4, 5, 5, 6, 6, 7, 8, 8 - **Bone Mineral Density (g/cm³)**: - 0.906, 0.874, 0.886, 0.853, 0.864, 0.847, 0.846, 0.832, 0.810, 0.799, 0.788, 0.763, 0.752, 0.725 --- **Tasks**: **(a)** Find the least-squares regression line treating cola consumption per week as the explanatory variable: \[ \hat{y} = x + \square \] (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. - A. For every unit increase in bone density, the number of colas decreases by \[\square\], on average. (Round to four decimal places as needed.) - B. For 0 colas consumed in a week, the bone density is predicted to be \[\square\] g/cm³. (Round to four decimal places as needed.) - C. For a bone density of 0 g/cm³, the number of colas consumed is predicted to be \[\square\]. (Round to four decimal places as needed.) - D. For every additional cola consumed per week, the bone density decreases by \[\square\] g/cm³, on average. (Round to four decimal places as needed.) - E. It is not appropriate to interpret the slope. **(c)** Interpret the intercept. Select the correct choice below, and if necessary, fill in the answer box to complete your choice. - A. For every unit increase in bone density, the number of colas decreases by \[\square\], on average.
Transcribed Image Text:**Analyzing the Impact of Cola Consumption on Bone Mineral Density** This study aims to explore whether cola consumption is associated with lower bone mineral density in women. The data provided includes the number of cola cans consumed per week and the corresponding femoral neck bone mineral density for a sample of 15 women. **Data Table: Colas per Week and Bone Density** - **Colas per week**: - 0, 1, 2, 2, 2, 3, 3, 4, 5, 5, 6, 6, 7, 8, 8 - **Bone Mineral Density (g/cm³)**: - 0.906, 0.874, 0.886, 0.853, 0.864, 0.847, 0.846, 0.832, 0.810, 0.799, 0.788, 0.763, 0.752, 0.725 --- **Tasks**: **(a)** Find the least-squares regression line treating cola consumption per week as the explanatory variable: \[ \hat{y} = x + \square \] (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. - A. For every unit increase in bone density, the number of colas decreases by \[\square\], on average. (Round to four decimal places as needed.) - B. For 0 colas consumed in a week, the bone density is predicted to be \[\square\] g/cm³. (Round to four decimal places as needed.) - C. For a bone density of 0 g/cm³, the number of colas consumed is predicted to be \[\square\]. (Round to four decimal places as needed.) - D. For every additional cola consumed per week, the bone density decreases by \[\square\] g/cm³, on average. (Round to four decimal places as needed.) - E. It is not appropriate to interpret the slope. **(c)** Interpret the intercept. Select the correct choice below, and if necessary, fill in the answer box to complete your choice. - A. For every unit increase in bone density, the number of colas decreases by \[\square\], on average.
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. **(a) (Round to four decimal places as needed.)** O A. For a bone density of 0 g/cm³, the number of colas consumed is predicted to be __ in (Round to four decimal places as needed.) O B. For a bone density of 0 g/cm³, the number of colas consumed is predicted to be __ in (Round to four decimal places as needed.) O C. For every additional cola consumed per week, the bone density decreases by __ g/cm³, on average. (Round to four decimal places as needed.) O D. For 0 colas consumed in a week, the bone density is predicted to be __ g/cm³ (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 five colas per week.** ŷ = __ g/cm³ (Round to three decimal places as needed.) **(e) The researchers found a woman who consumed five colas per week to have a bone mineral density of 0.786 g/cm³. Is this woman’s bone density __ the average of __ g/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 cans of cola per week?** 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. Yes—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 represents a woman consuming two colas per day is not possible. O E. More information regarding the woman is necessary to make the decision.
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. **(a) (Round to four decimal places as needed.)** O A. For a bone density of 0 g/cm³, the number of colas consumed is predicted to be __ in (Round to four decimal places as needed.) O B. For a bone density of 0 g/cm³, the number of colas consumed is predicted to be __ in (Round to four decimal places as needed.) O C. For every additional cola consumed per week, the bone density decreases by __ g/cm³, on average. (Round to four decimal places as needed.) O D. For 0 colas consumed in a week, the bone density is predicted to be __ g/cm³ (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 five colas per week.** ŷ = __ g/cm³ (Round to three decimal places as needed.) **(e) The researchers found a woman who consumed five colas per week to have a bone mineral density of 0.786 g/cm³. Is this woman’s bone density __ the average of __ g/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 cans of cola per week?** 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. Yes—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 represents a woman 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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