You are encouraged to form study groups to work on these problems. However, it is the best to try...

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You are encouraged to form study groups to work on these problems. However, it is the best to try the problems yourself before discussing them with your study group. In any cases, each student must do and turn in her/his OWN solution.
For all homework assignments, you need to turn in your OWN written/typed answer sheets and provide graphs and tables especially your answers are based on R outputs.
( Part Suppose that you collected the following sample.
X Y
XXXXXXXXXX
(1) Construct a scatterplot. (2) In the regression Yi = So + SIX; + u„ find the estimated intercept (0) and the estimated slope (th). (3) Find SSR, TSS, ESS, and SER. (4) Find R2. Interpret the number in R2

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David · Accepted Answer

Part 1
(1) Construct a scatterplot.
1 2 3 4 5 6 7
2
3
4
5
6
Scatter plot of Y against X
X
Y
(2) In the regression Yi = 0 + 1 Xi + ui, find the estimated intercept ( 0b̂ ) and slope ( 1b̂ ).
X 1 4 5 5 7 4.4 
Y 6 6 4 3 2 4.2 
 (X- X )
2 11.56 0.16 0.36 0.36 6.76 0 
 (Y-Y )
2 3.24 3.24 0.04 1.44 4.84 0 
 (X- X )(Y-Y ) -6.12 -0.72 -0.12 -0.72 -5.72 -2.68
From the data, we have X  = 4.4, Y  = 4.2, 
2
xs  = 4.8,

You are encouraged to form study groups to work on these problems. However, it is the best to try the problems yourself before discussing them with your study group. In any cases, each student must do...

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