An analyst believes that rainfall and fertilizer will affect the growth of grass. Weekly data is collected on grass growth (in inches), rainfall (in inches), and fertilizer applied (in pounds). Data is collected for 11 weeks, and a regression is performed, The following Table is the results of the regression. Regression Statistics R Square 0.96 Adjusted R Square 0.90 Standard Error 8.35 Observations 11.00 ANOVA df S Regression 1 15060.07 Residual 9 627.50 Total 10 15687.58 Coefficients Standard Error t Stat P-value Intercept 0.569 0.029 19.62 0.0000001 Rainfall (inches) 0.801 0.275 2.91 0.0300000 Fertilizer (pounds) 0.704 0.135 5.22 0.0010000

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

9

An analyst believes that rainfall and fertilizer will affect the growth of grass. Weekly
data is collected on grass growth (in inches), rainfall (in inches), and fertilizer applied
(in pounds). Data is collected for 11 weeks, and a regression is performed. The
following Table is the results of the regression.
Regression Statistics
R Square
0.96
Adjusted R Square 0.90
Standard Error
8.35
Observations
11.00
ANOVA
df
Regression
15060.07
Residual
627.50
Total
10
15687.58
Coefficients Standard Error t Stat P-value
Intercept
0.569
0.029
19.62 0.0000001
Rainfall (inches)
0.801
0.275
2.91 0.0300000
Fertilizer (pounds) 0.704
0.135
5.22 0.0010000
Is the coefficient on the Rainfall variable statistically significant at 5% level?
Yes
K No
Transcribed Image Text:An analyst believes that rainfall and fertilizer will affect the growth of grass. Weekly data is collected on grass growth (in inches), rainfall (in inches), and fertilizer applied (in pounds). Data is collected for 11 weeks, and a regression is performed. The following Table is the results of the regression. Regression Statistics R Square 0.96 Adjusted R Square 0.90 Standard Error 8.35 Observations 11.00 ANOVA df Regression 15060.07 Residual 627.50 Total 10 15687.58 Coefficients Standard Error t Stat P-value Intercept 0.569 0.029 19.62 0.0000001 Rainfall (inches) 0.801 0.275 2.91 0.0300000 Fertilizer (pounds) 0.704 0.135 5.22 0.0010000 Is the coefficient on the Rainfall variable statistically significant at 5% level? Yes K No
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