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In a simple linear regression model (one independent variable), if we increase the input variable by 1 unit, how much will the output variable change? By 1 No change By its slope None of these

Question

In a simple linear regression model (one independent variable), if we increase the input variable by 1 unit, how much will the output variable change? By 1 No change By its slope None of these

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Solution

In a simple linear regression model, if we increase the input variable by 1 unit, the output variable will change by an amount equal to the slope of the regression line. This is because in a simple linear regression model, the relationship between the input and output variable is defined by the equation y = mx + b, where y is the output variable, x is the input variable, m is the slope of the line, and b is the y-intercept. Therefore, if x increases by 1 unit, y will increase by m units.

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