45 Calculate b1 and b0 What is the sample regression equatio

(45)

Calculate b1 and b0. What is the sample regression equation? (Round intermediate calculations to 4 decimal places and final answers to 2 decimal places.)

Find the predicted value for y if x equals 22, 27, and 32. (Round intermediate coefficient values and final answers to 2 decimal places.)

Solution

Explanation

We will find an equation of the regression line in 4 steps.

Step 1: Find X?Y and X2 as it was done in the table below.

Step 2: Find the sum of every column:

?X=185 , ?Y=308 , ?X?Y=7176 , ?X2=4521

Step 3: Use the following equations to find a and b:

a= 33.406

b =0.22

The equation of the regression line is:

y = 33.406 + 0.22?x

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