X y 6. For this problem, use a linear regression model. 2 12 a) Use the correlation formula to the right to calculate the correlation R r = 5 11 n- 8 14 SSR SE 11 17 Coefficient of Deternination R2 EST =1 ST SST 14 16 b) Find R^2 using SSR/SST (y- y)? Sum of Squares Total - SST= 17 20 19 24 SSR = >0 -7) Sum of Squares Regression+ 20 22 SSE = >0-y) Sum of Squares Error 25 27 c) Find the slope using the formula to the right ---> Slope a= intercept b=y-ax where overbar denotes average d) Verify your answers to parts a,b,c using another method of your choice - e). Find the residual for x = 14

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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y
6. For this problem, use a linear regression model.
1
2
12
a) Use the correlation formula to the right to calculate the correlation R
- 1
Sx
Sy
11
п-1
n
8
14
SSR
= 1
SST
SSE
11
17
Coefficient of Deternination →
R2
SST
14
16
b) Find R^2 using SSR/SST
SST = v- 7)²
Sum of Squares Total →
17
20
19
24
Sum of Squares Regression →
SSR =
20
22
SSE = >v-y)?
Sum of Squares Error →
25
27
c) Find the slope using the formula to the right --
Σ-3-)
Slope a=
d) Verify your answers to parts a,b,c using another method of your
choice
intercept b= y-ax
where overbar denotes average
e). Find the residual for x = 14
f) Use your regression equation to find the probable x-value for y = 83,
you may round your answer to 2 decimal places.
%3D
Transcribed Image Text:y 6. For this problem, use a linear regression model. 1 2 12 a) Use the correlation formula to the right to calculate the correlation R - 1 Sx Sy 11 п-1 n 8 14 SSR = 1 SST SSE 11 17 Coefficient of Deternination → R2 SST 14 16 b) Find R^2 using SSR/SST SST = v- 7)² Sum of Squares Total → 17 20 19 24 Sum of Squares Regression → SSR = 20 22 SSE = >v-y)? Sum of Squares Error → 25 27 c) Find the slope using the formula to the right -- Σ-3-) Slope a= d) Verify your answers to parts a,b,c using another method of your choice intercept b= y-ax where overbar denotes average e). Find the residual for x = 14 f) Use your regression equation to find the probable x-value for y = 83, you may round your answer to 2 decimal places. %3D
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