In a simple linear regression model , if we change the input variable by 1 unit , output variable will change by its slope.
What is linear regression?
According on the value of another variable, a variable's value can be predicted using a linear regression analysis. The dependent variable is the one you're trying to forecast. The term "independent variable" refers to the variable you are using to forecast the value of the other variable.
For linear regression
Y=a + bx + error
If we 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.
Hence their is an increase in the slope in y.
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