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Solved: Cola Consumption vs. Bone DensityExample colas
Chapter 3, Problem 23AYU(choose chapter or problem)
Example 5 in Section 4.1 on page 185 discussed the effect of cola consumption on bone mineral density in the femoral neck of women.
(a) Find the least-squares regression line treating cola consumption per week as the explanatory variable.
(b) Interpret the slope.
(c) Interpret the intercept.
(d) Predict the bone mineral density of the femoral neck of a woman who consumes four colas per week.
(e) The researchers found a woman who consumed four colas per week to have a bone mineral density of 0.873 \(g/cm^2\). Is this woman’s bone mineral density above or below average among all women who consume four colas per week?
(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?
Questions & Answers
QUESTION:
Example 5 in Section 4.1 on page 185 discussed the effect of cola consumption on bone mineral density in the femoral neck of women.
(a) Find the least-squares regression line treating cola consumption per week as the explanatory variable.
(b) Interpret the slope.
(c) Interpret the intercept.
(d) Predict the bone mineral density of the femoral neck of a woman who consumes four colas per week.
(e) The researchers found a woman who consumed four colas per week to have a bone mineral density of 0.873 \(g/cm^2\). Is this woman’s bone mineral density above or below average among all women who consume four colas per week?
(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?
ANSWER:
Step 1 of 7
|
Number of Colas per Week |
Bone Mineral Density \(g/cm^2\) |
|
0 |
0.893 |
|
0 |
0.882 |
|
1 |
0.891 |
|
1 |
0.881 |
|
2 |
0.888 |
|
2 |
0.871 |
|
3 |
0.868 |
|
3 |
0.876 |
|
4 |
0.873 |
|
5 |
0.875 |
|
5 |
0.871 |
|
6 |
0.867 |
|
7 |
0.862 |
|
7 |
0.872 |
|
8 |
0.865 |