In a simple linear regression the following information is g

In a simple linear regression, the following information is given:

Calculate b₁. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)

Calculate b₀. (Round intermediate calculations to 4 decimal places and final answer to 2 decimal places.)

What is the sample regression equation? (Negative value should be indicated by a minus sign. Round your answers to 2 decimal places.)

Predict y if x equals 21.(Round intermediate coefficient values and final answer to 2 decimal places.)

= 29; = 48;

Solution

Sum (Xi-Mean)*(Yi-Mean) = -855
Sum (Xi - Mean)^2 = 737
X Mean = -29 ; Y Mean= 48

a)
b1 = Sum Xi-Mean)*(Yi-Mean) / Sum (Xi - Mean)^2 = -855/737 = -1.17

b)
bo = Y Mean - b1 * X Mean = 48 - (-1.1601) * (-29) = 14.36

c)
regression equation = Y = bo + b1 X => Y = 14.36 - 1.17 * x

d)
When x = -21
Y = 14.36 - 1.17 * (-21) = 38.93