Consider the formula a b for the y intercept a Show that a b Explain why this means that the predicted value of the response variable is when x b Show that an alternative way of expressing the regression model is as ( ) b(x ) Interpret this formula ...

a Algebraically we can manipulate the formula a y bx to become y a bx We do this simply by adding bx ...

Consider the formula a = - b for the y -intercept. a. Show that =

Question:

Consider the formula a = - b for the y -intercept.
a. Show that = a + b. Explain why this means that the predicted value of the response variable is ŷ = when x = .
b. Show that an alternative way of expressing the regression model is as (ŷ - ) = b(x - ). Interpret this formula.