a) Write down the least square regression line from that specific output. b) Interpret the slope and constant term with proper UNITS assigned. c) Comment on the explanatory power of the regression model from the required output.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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a) Write down the least square regression line
from that specific output.
b) Interpret the slope and constant term with proper UNITS assigned.
c) Comment on the explanatory power of the regression model from the required output.

Price
Size
455
2500
278
2250
463
2900
327
1800
505
3200
264
2400
445
2700
346
2050
487
2850
289
2400
434
2600
411
2300
223
1700
323
2300
488
2980
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.82296733
R Square
Adjusted R Square
0.677275227
0.652450244
Standard Error
55.31699902
Observations
15
ANOVA
df
MS
Significance F
Regression
83482.11839
83482.11839 27.2820021
0.000164323
Residual
13
39779.61495
3059.97038
Total
14
123261.7333
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Lower 95.0% Upper 95.0%
Intercept
-65.0227611
86.86812572
-0.748522667 0.46747219
-252.6899371
122.6444149 -252.6899371 122.6444149
Size
0.181785579
0.034803371
5.223217602 0.00016432
0.106597467
0.25697369
0.106597467
0.25697369
Transcribed Image Text:Price Size 455 2500 278 2250 463 2900 327 1800 505 3200 264 2400 445 2700 346 2050 487 2850 289 2400 434 2600 411 2300 223 1700 323 2300 488 2980 SUMMARY OUTPUT Regression Statistics Multiple R 0.82296733 R Square Adjusted R Square 0.677275227 0.652450244 Standard Error 55.31699902 Observations 15 ANOVA df MS Significance F Regression 83482.11839 83482.11839 27.2820021 0.000164323 Residual 13 39779.61495 3059.97038 Total 14 123261.7333 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -65.0227611 86.86812572 -0.748522667 0.46747219 -252.6899371 122.6444149 -252.6899371 122.6444149 Size 0.181785579 0.034803371 5.223217602 0.00016432 0.106597467 0.25697369 0.106597467 0.25697369
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