The interpretation for the slope of the linear regression prediction equation is change in y with a unit change in x.
The linear regression is a linear approach for modelling the relationship between a scalar response and one or more explanatory variables.
A slope of a line is the change in y coordinate with respect to the change in x coordinate.
Consider the slope of the line as m
m= Change in y coordinate / Change in x coordinate
When change in x coordinate is 1 unit
Then,
m= Change in y coordinate
If the change in x is 1 unit, then slope of the line will change depends on change in y coordinate
Hence, The interpretation for the slope of the linear regression prediction equation is change in y with a unit change in x.
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