Consider the data set shown. If the mean X value is 6 and the mean Y value is 5, complete the first row of the table below Y X;- X Y-Y | (X; - X)² | (Yi –Ỹ)² | (X¡ - X)(Y;- Ỹ) | 8 -1 1 0. 0. 6. 1 -4 0. 16 8. 4. 2 -1 4. 1 -2 9. 3 2 6. 4. 6. X = 6 Y = 5 %3D (a) What is the sum of squares for the X variable? (b) What is the sum of squares for the Y variable?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Consider the data set shown. If the mean X value is 6 and the mean Y value
is 5, complete the first row of the table below
X; - X | Y;-Y | (X; - X)² | (Y: – Ý)² | (Xi - X)(Y; – Ý)
X
Y
8
-1
0.
1
6.
1
-4
0.
16
0.
8
4
2
-1
4.
1
-2
9.
7
3
9.
4.
6.
X = 6 Y =5
(a) What is the sum of squares for the X variable?
(b) What is the sum of squares for the Y variable?
(c) What is the sum of the products for this data set?
(d) What is the correlation coefficient for X and Y?
(e) What is the standard error of the correlation coefficient for these data?
Transcribed Image Text:Consider the data set shown. If the mean X value is 6 and the mean Y value is 5, complete the first row of the table below X; - X | Y;-Y | (X; - X)² | (Y: – Ý)² | (Xi - X)(Y; – Ý) X Y 8 -1 0. 1 6. 1 -4 0. 16 0. 8 4 2 -1 4. 1 -2 9. 7 3 9. 4. 6. X = 6 Y =5 (a) What is the sum of squares for the X variable? (b) What is the sum of squares for the Y variable? (c) What is the sum of the products for this data set? (d) What is the correlation coefficient for X and Y? (e) What is the standard error of the correlation coefficient for these data?
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