6-44. The data that follow are DC output from a windmill (v) and wind velocity (x). (a) Draw a scatter diagram of these data. What type of rela- tionship seems appropriate in relating y tox? (b) Fit a simple linear regression model to these data. (c) Test for significance of regression using a = 0.05. What conclusions can you draw? (d) Plot the residuals from the simple linear regression model versus y, and versus wind velocity x. What do you con- clude about model adequacy? (e) Based on the analysis, propose another model relating y to.x. Justify why this model seems reasonable. (f) Fit the regression model you have proposed in part (e). Test for significance of regression (use a = 0.05), and graphically analyze the residuals from this model. What can you conclude about model adequacy?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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WLEY
6-44. The data that follow are DC output from a windmill (y)
and wind velocity (x).
(a) Draw a scatter diagram of these data. What type of rela-
tionship seems appropriate in relating y to x?
(b) Fit a simple linear regression model to these data.
(c) Test for significance of regression using a = 0.05. What
conclusions can you draw?
(d) Plot the residuals from the simple linear regression model
versus y, and versus wind velocity x. What do you con-
clude about model adequacy?
(e) Based on the analysis, propose another model relating y to.x.
Justify why this model seems reasonable.
(f) Fit the regression model you have proposed in part (e).
Test for significance of regression (use a = 0.05), and
graphically analyze the residuals from this model. What
can you conclude about model adequacy?
Observation
Number
1
NM & in eor
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
Wind Velocity
(MPH), x
5.00
6.00
3.40
2.70
10.00
9.70
9.55
3.05
8.15
6.20
2.90
6.35
4.60
5.80
7.40
3.60
7.85
8.80
7.00
5.45
9.10
10.20
4.10
3.95
2.45
DC Output
Y
1.582
1.822
1.057
0.500
2.236
2.386
2.294
0.558
2.166
1.866
0.653
1.930
1.562
1.737
2.088
1.137
2.179
2.112
1.800
1.501
2.303
2.310
1.194
1.144
0.123
Transcribed Image Text:WLEY 6-44. The data that follow are DC output from a windmill (y) and wind velocity (x). (a) Draw a scatter diagram of these data. What type of rela- tionship seems appropriate in relating y to x? (b) Fit a simple linear regression model to these data. (c) Test for significance of regression using a = 0.05. What conclusions can you draw? (d) Plot the residuals from the simple linear regression model versus y, and versus wind velocity x. What do you con- clude about model adequacy? (e) Based on the analysis, propose another model relating y to.x. Justify why this model seems reasonable. (f) Fit the regression model you have proposed in part (e). Test for significance of regression (use a = 0.05), and graphically analyze the residuals from this model. What can you conclude about model adequacy? Observation Number 1 NM & in eor 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Wind Velocity (MPH), x 5.00 6.00 3.40 2.70 10.00 9.70 9.55 3.05 8.15 6.20 2.90 6.35 4.60 5.80 7.40 3.60 7.85 8.80 7.00 5.45 9.10 10.20 4.10 3.95 2.45 DC Output Y 1.582 1.822 1.057 0.500 2.236 2.386 2.294 0.558 2.166 1.866 0.653 1.930 1.562 1.737 2.088 1.137 2.179 2.112 1.800 1.501 2.303 2.310 1.194 1.144 0.123
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