Question

A study of bone density on 5 random women at a hospital produced the following results.

Age   Bone Density
48   359
62   350
63   336
63   327
65   319

Step 1 of 5:

Calculate the sum of squared errors (SSE). Use the values b0=452.4777 and b1=−1.8983 for the calculations. Round your answer to three decimal places.

Step 2 of 5:

Calculate the estimated variance of errors, s2ese2. Round your answer to three decimal places.

Step 3 of 5:

Calculate the estimated variance of slope, s2b1sb12. Round your answer to three decimal places.

Step 4 of 5:

Construct the 90%90% confidence interval for the slope. Round your answers to three decimal places.

Step 5 of 5:

Construct the 99%99% confidence interval for the slope. Round your answers to three decimal places.

Answer 1

The statistical software output for this problem is :

Step 1 : SSE = 383.227

Step 2 : S²e = 127.742

Step 3 : S²b = 0.670

Step 4 : The 90% confidence interval for the slope is :

(-3.824 , 0.027)

Step 5 : The 99% confidence interval for the slope is :

(-6.678 , 2.881)