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In a simple linear regression model (One independent variable), If we change the input variable by 1 unit. How much output variable will change?

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In a simple linear regression model (One independent variable), If we change the input variable by 1 unit. How much output variable will change? (a) by 1 (b) no change (c) by intercept (d) by its slope The question was asked at a job interview. The question is from Linear Regression topic in division Commands, Packages, Visualizing Data and Linear Regression of R Programming Select the correct answer from above options

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The correct answer is (d) by its slope To explain I would say: For linear regression Y=a+bx+error. If neglect error then Y=a+bx. If x increases by 1, then Y = a+b(x+1) which implies Y=a+bx+b. So Y increases by its slope.

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