Does correcting the sugar cane model for heteroscedasticity improve its performance? Interpret the regression coefficients.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 7E
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Does correcting the sugar cane model for heteroscedasticity improve its performance?

Interpret the regression coefficients.

REGRESSION:Lhs=SIZE:Rhs=ONE SIZEAGE:Ploet$
Ordinary
least squares regression . .
....
LHS=SIZE
Mean
100.91310
Standard deviation
88.04303
No. of observations =
Regression Sum of Squares
Sum of Squares
Sum of Squares
Standard error of e =
R-squared
Model test F[ 1, 98]
100 DegFreedom Mean square
1 373682.99814
373683.
Residual
393723.
98 4017.58107
Total
767406.
99 7751.57518
63.38439 Root MSE
62.74735
Fit
.48694 R-bar squared
.48171
93.01194 Prob F > F*
.00000
Standard
Prob.
95% Confidence
SIZEĻ Coefficient
Error
t t|>T*
Interval
-1.00 .3217 -40.0573 13.2852
Constant| -13.3860
SIZEAGE| 58.9499*** 6.11243
13.44002
9.64 .0000
46.8200 71.0798
***, **, * ==> Significance at 1%, 5%, 10% level.
Transcribed Image Text:REGRESSION:Lhs=SIZE:Rhs=ONE SIZEAGE:Ploet$ Ordinary least squares regression . . .... LHS=SIZE Mean 100.91310 Standard deviation 88.04303 No. of observations = Regression Sum of Squares Sum of Squares Sum of Squares Standard error of e = R-squared Model test F[ 1, 98] 100 DegFreedom Mean square 1 373682.99814 373683. Residual 393723. 98 4017.58107 Total 767406. 99 7751.57518 63.38439 Root MSE 62.74735 Fit .48694 R-bar squared .48171 93.01194 Prob F > F* .00000 Standard Prob. 95% Confidence SIZEĻ Coefficient Error t t|>T* Interval -1.00 .3217 -40.0573 13.2852 Constant| -13.3860 SIZEAGE| 58.9499*** 6.11243 13.44002 9.64 .0000 46.8200 71.0798 ***, **, * ==> Significance at 1%, 5%, 10% level.
Ordinary least squares regression
......
LHS=SUGAR Mean
100.93910
Standard deviation =
58.13665
No. of observations =
100 DegFreedom Mean square
1 11556.17976
Regression Sum of Squares
Residual Sum of Squares
Sum of Squares
Standard error of e
R-squared
Model test F[ 1, 98]
11556.2
323051.
98 3296.43801
=
Total
334607.
99 3379.86975
57.41461 Root MSE
56.83757
.03454 R-bar squared
3.50566 Prob F > F*
Fit
.02468
.06414
Standard
Prob.
95% Confidence
SUGARĮ Coefficient
Error
t t|>T*
Interval
----
Constant| -24.2462
SUGAGE| 63.1839*
-.36 .7186 -157.4168 108.9243
1.87 .0641
67.10644
33.74596
-3.7839 130.1516
***, **, * ==> Significance at 1%, 5%, 10% level.
Transcribed Image Text:Ordinary least squares regression ...... LHS=SUGAR Mean 100.93910 Standard deviation = 58.13665 No. of observations = 100 DegFreedom Mean square 1 11556.17976 Regression Sum of Squares Residual Sum of Squares Sum of Squares Standard error of e R-squared Model test F[ 1, 98] 11556.2 323051. 98 3296.43801 = Total 334607. 99 3379.86975 57.41461 Root MSE 56.83757 .03454 R-bar squared 3.50566 Prob F > F* Fit .02468 .06414 Standard Prob. 95% Confidence SUGARĮ Coefficient Error t t|>T* Interval ---- Constant| -24.2462 SUGAGE| 63.1839* -.36 .7186 -157.4168 108.9243 1.87 .0641 67.10644 33.74596 -3.7839 130.1516 ***, **, * ==> Significance at 1%, 5%, 10% level.
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