In a simple linear regression, the following information is given: x = -36: y =
ID: 3267599 • Letter: I
Question
In a simple linear regression, the following information is given: x = -36: y = 44: sigma(xi - x)(y_i - y)= -848: sigma(xi - x)^2 = 731 a. Calculate b_1. (Negative value should be Indicated by a minus sign. Round your answer to 2 decimal places.) b-1 b. Calculate b_0. (Round Intermediate calculations to 4 decimal places and final answer to 2 decimal places.) b_0 c-1. What is the sample regression equation? (Negative value should be Indicated by a minus sign. Round your answers to 2 decimal places.) y = + x c-2. Predict y if x equals -18. (Round Intermediate coefficient values and final answer to 2 decimal places.) y =Explanation / Answer
a) b1 =SXxy/SSx =-848/731 = -1.16
b) bo =(Ybar-b1*Xbar) =44-(-1.16)*(-36)=2.24
c-1) Yhat =2.24-1.16*X
c-2) at x=-18 ; yhat =2.24-1.16*(-18)=23.12