The following information regarding a dependent variable (Y) and an independent variable (X) is provided to help you fill in the following blanks.
Y X
4 2
3 1
4 4
6 3
8 5
SSE = 6
SST = 16
a. The least squares estimate of the Y intercept is .
b. The least squares estimate of the slope is .
c. The coefficient of determination is .
d. The coefficient of correlation is .
e. The MSE is .



Answer :

The following information regarding a dependent variable (Y) and an independent variable (X) is provided in the following blanks in the image below.

A dependent variable is the variable that changes as a result of the independent variable manipulation. It's the outcome you're interested in measuring, and it “depends” on your independent variable. In statistics, dependent variables are also called: Response variables (they respond to a change in another variable)

a) least square estimate of the Y intercept  =2

b)least squares estimate of the slope is =1

c)coefficient of determination is  1-SSE/SST =0.625

d)coefficient of correlation is =(0.625)1/2 =0.7906

e) MSE =SSE/(n-2) =6/(5-2) =2

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