Question

I need help with - (b) Interpret the slope. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice - Thank you!

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.

Colas per week   Bone Mineral Density (grams per cubic centimeter)
0   0.907
1   0.871
1   0.882
1   0.873
2   0.858
2   0.841
3   0.816
3   0.823
5   0.772
5   0.777
5   0.773
6   0.747
7   0.719
7   0.730
8   0.701

(a) Find the​ least-squares regression line treating cola consumption per week as the explanatory variable.

ŷ =-0.025x + (0.900)

​(Round to three 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 0 colas consumed in a​ week, the bone density is predicted to be __?__g / cm3.

​(Round to three decimal places as​ needed.)

B.

For every cola consumed per​ week, the bone density decreases by __?__

g / cm3​, on average.

​(Round to three decimal places as​ needed.)

C.

For a bone density of 0 g / cm3​, the number of colas consumed is predicted to be __?__.

​(Round to three decimal places as​ needed.)

D.

For every unit increase in bone​ density, the number of colas decreases by __?__ ​, on average.

​(Round to three decimal places as​ needed.)

E.

It is not appropriate to interpret the slope.

Answer 1

b)

option A is correct: For 0 colas consumed in a​ week, the bone density is predicted to be 0.900 g / cm3.