A linear regression was doneto relate the age of a person x

A linear regression was doneto relate the age of a person, x, and the number of optimal hours of sleep , y.the equation was found to be y=-0.12x+11.5 with a correlation coefficient of r=-0.86.explain what each of the parameters in the linear model represent,i.e.the -0.12 and the 11.5

Solution

The regression line y = - 0.12x +11.5

-0.12 is the ratio of change in y per change in x.

That means if there is a change in x from 100 to 200 i.e. of 200-100 = 100, then change in y will be

= ( -0.12) * (100) = -120

And 11.5 is the starting point of the model i.e. at x =0 the value of y is predicted by the model to be = 11.5