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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

Colas per week bone mineral density(g/cm3)

0 0.907

1 0.874

1 0.886

1 0.875

2 0.861

2 0.846

2 0.846

3 0.830

4 0.807

5 0.789

5 0.785

5 0.784

7 0.736

7 0.745

7 0.742

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

y overbar =_______x (____)​(Round to three decimal places as​ needed.)

Interpret the slope. Select the correct choice below and if necessary fill in the box

A. For every unit increase in bone density, the number of colas decrease by____ on average (round to three decimal places as needed)

B. For 0 colas consumed in a week, the bone density is is predicted to be_____g/cm3(round to three decimal places as needed)

C. For every cola consumed per week, the bone density decreases by____g/cm3, on average(round to three decimal places as needed)

D. For a bone density of g/cm3, the number of colas consumed is predicted to be_____(round to three decimal places as needed)

E. It is not appropriate to interpret the slope

Interpret the y intercept. Fill in the boxes when necessary

A. For every unit increase in bone density. the number of colas decreased by____on average (round to three decimal places as needed)

B. For 0 colas consumed in a week, the bone density is is predicted to be_____g/cm3(round to three decimal places as needed)

C. For every cola consumed per week, the bone density decreases by____g/cm3, on average(round to three decimal places as needed)

D. For a bone density of g/cm3, the number of colas consumed is predicted to be_____(round to three decimal places as needed)

E. It is not appropriate to interpret the y intercept

Predict the bone mineral density of the femoral neck of a woman who consumes 3 colas per week

y over bar = ______g/cm3(round to three decimal places as needed)

The researchers found a woman who consumed 3 colas per week to have bone mineral density of 0.805 g/cm3, Is the the womans bone density above or below average among all woman who consume 3 colas per week?

The womans bone density is ____the average of ____g/cm3(round to three decimal places as needed)

Would you recommend the model found in the first question to predict the bone mineral density of a woman who consumer 2 colas per day? why? Select the correct choice below and fill in the box

A. Yes... the calculated model can be used for any number of colas consumed

B. Yes an x value of ____is possible and within the scope of the model integer or simplified fraction)

C. No an x value of ____ is outside the scope of the model( integer or simplified fraction)

D. No an x value of____is not possible(integer or simplified fraction)

E. More information regarding the woman is necessary to make a decision

y = -0.023X + 0.900 C. For every cola consumed per week, the bone density decreases by 0.023... View the full answer

regression equation... View the full answer

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