Question

The table below gives the age and bone density for five randomly selected women. Using this data, consider the equation of the regression line, yˆ=b0+b1x , for predicting a woman's bone density based on her age. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant.

Age	50	59	60	64	68
Bone Density	331	326	325	320	315

Step 1 of 6:

Find the estimated slope. Round your answer to three decimal places.

Step 2 of 6:

Find the estimated y-intercept. Round your answer to three decimal places.

Step 3 of 6:

Substitute the values you found in steps 1 and 2 into the equation for the regression line to find the estimated linear model. According to this model, if the value of the independent variable is increased by one unit, then find the change in the dependent variable y^ .

Step 4 of 6:

Determine the value of the dependent variable y^ at x=0 .

Step 5 of 6:

Find the estimated value of y when x=50 . Round your answer to three decimal places.

Step 6 of 6:

Find the value of the coefficient of determination. Round your answer to three decimal places.

Answer 1

Step 1 of 6: Find the estimated slope =-0.882

Step 2 of 6: Find the estimated y-intercept =376.475 (try 376.496 if this comes wrong)

Step 3 of 6: change in the dependent variable y^ =-0.882

Step 4 of 6: Determine the value of the dependent variable y^ =376.475 (try 376.496 if this comes wrong)

Step 5 of 6: Find the estimated value of y=332.375

Step 6 of 6: value of the coefficient of determination =0.942