Given the linear regression equation: y = 5 – 13x. a) What is the value of the s

Question

Given the linear regression equation: y = 5 – 13x. a) What is the value of the slope for the regression line? 13 -13 -5 5 -2.6 Incorrect: Your answer is incorrect. b) What is the value of the y-intercept for the regression line? -13 -5 13 -2.6 5 c) When x changes by 1 unit, by how much does y change on the regression line? When x increases by 1 unit, y increases by 13 units. When x increases by 1 unit, y decreases by 13 units. When x decreases by 1 unit, y does not change. When x decreases by 1 unit, y decreases by 13 units. When x increases by 1 unit, y decreases by 13 units.

Explanation / Answer

Given the linear regression equation: y = 5 – 13x.

a) What is the value of the slope for the regression line?

Note that m = the slope, and y = b + mx. Hence,

m = slope = -13 [ANSWER]

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b) What is the value of the y-intercept for the regression line?

Note that b = the y-intercept, and y = b + mx. Hence,

b = y-intercept = 5 [ANSWER]

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c) When x changes by 1 unit, by how much does y change on the regression line?

This is the definition of the slope. If x increases by 1 unit, y increases by m units. Hence, as m = -13,

When x increases by 1 unit, y decreases by 13 units. [ANSWER, OPTION E]

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