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	36	51	63	66	70
Bone Density	359	357	328	314	310

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: Determine if the statement "Not all points predicted by the linear model fall on the same line" is true or false.

Step 4 of 6: Find the estimated value of y when x=66. Round your answer to three decimal places.

Step 5 of 6: Determine the value of the dependent variable yˆ at x=0.

Step 6 of 6: Find the value of the coefficient of determination. Round your answer to three decimal places.

Answer 1

The statistical software output for this problem is:

Hence,

Step - 1: Slope = -1.561

Step - 2: y - intercept = 422.879

Step - 3: False

Step - 4: Estimated value = 319.865

Step - 5: Value = 422.879

Step - 6: Coefficient of determination = 0.858