Help me answer these two questions on least square regression lines? This is the
ID: 3130007 • Letter: H
Question
Help me answer these two questions on least square regression lines?
This is the first question.
(a) Determine the least-squares regression line.
(b) Compute the sum of the squared residuals for the least-squares regression line.
x 10 20 30 40 50
______________
y 119 95 74 76 60
This is the second question.
(a) Determine the least-squares regression line.
(b) Graph the least-squares regression line on a scatter diagram.
x 4 5 6 7 9
______________
y 8 9 10 13 18
(a) ^y = ___x + (___)
(b) Can someone also include the graph on a scatter diagram for me as well?
Thank you to the answers, it is much appreciated.
Explanation / Answer
Regression
Help me answer these two questions on least square regression lines?
This is the first question.
The least square regression line is given as below:
Y = 125.9 – 1.37*X
Sum of the squared residuals for the least squares regression line is given as below:
Observation
Predicted Y
Residuals
Squares
1
112.2
6.8
46.24
2
98.5
-3.5
12.25
3
84.8
-10.8
116.64
4
71.1
4.9
24.01
5
57.4
2.6
6.76
Sum
424
0
205.9
This is the second question.
The least square regression line is given as below:
Y = -1.13514 + 2.054054*X
The graph for the least squares regression line on a scatter plot diagram is given as below:
Observation
Predicted Y
Residuals
Squares
1
112.2
6.8
46.24
2
98.5
-3.5
12.25
3
84.8
-10.8
116.64
4
71.1
4.9
24.01
5
57.4
2.6
6.76
Sum
424
0
205.9
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