Use the given data to find the best predicted value of the r

Use the given data to find the best predicted value of the response variable.
Six pairs of data yield r = 0.789 and the regression equation

          Yhat=4x- 2. Also, Ybar= 19.0

What is the best predicted value of y for x = 5?

Solution

The regression equation is given as y = 4x-2

i.e. slope = 4 and intercept = -2

When x=5, plug in 5 in the regression equation to get y.

y(5) = 4(5) -2 =18