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In a simple linear regression, the following information is given: Calculate b 1

ID: 3170854 • Letter: I

Question

In a simple linear regression, the following information is given:

Calculate b1. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)

Calculate b0. (Round intermediate calculations to 4 decimal places and final answer to 2 decimal places.)

What is the sample regression equation? (Negative value should be indicated by a minus sign. Round your answers to 2 decimal places.)

Predict y if x equals 29. (Round intermediate coefficient values and final answer to 2 decimal places.)


In a simple linear regression, the following information is given:

Explanation / Answer

(A)

b1 = [ (xi - x)(yi - y) ] / [ (xi - x)2]

b1 = -854/700 = -1.22

(B)

b0 = y - b1 * x

b0 = 53 - (-1.22)*(-32) = 13.96

(C-1)

= b0 + b1x

= 13.96 - 1.22x

(C-2)

for x=-29

= 13.96 - 1.22 * (-29)

= 49.34