A researcher would like to predict the dependent variable YY from the two independent variables X1X1 and X2X2 for a sample of N=10N=10 subjects. Use multiple linear regression to calculate the coefficient of multiple determination and test statistics to assess the significance of the regression model and partial slopes. Use a significance level α=0.01α=0.01. X1X1 X2X2 YY 58.8 29.9 63.1 64.1 57.3 40.1 51.4 35.3 46.2 77.1 88.5 30 60.6 67.5 16.2 68.3 63.4 62 44.8 6.6 77.6 49 29.3 65.5 55.5 25.8 62.5 57.5 30.2 62 R2=R2= F=F= P-value for overall model = t1=t1= for b1b1, P-value = t2=t2= for b2b2, P-value = What is your conclusion for the overall regression model (also called the omnibus test)? The overall regression model is statistically significant at α=0.01α=0.01. The overall regression model is not statistically significant at α=0.01α=0.01. Which of the regression coefficients are statistically different from zero? neither regression coefficient is statistically significant the slope for the first variable b1b1 is the only statistically significant coefficient the slope for the second variable b2b2 is the only statistically significant coefficient both regression coefficients are statistically significant

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 researcher would like to predict the dependent variable YY from the two independent variables X1X1 and X2X2 for a sample of N=10N=10 subjects. Use multiple linear regression to calculate the coefficient of multiple determination and test statistics to assess the significance of the regression model and partial slopes. Use a significance level α=0.01α=0.01.

X1X1	X2X2	YY
58.8	29.9	63.1
64.1	57.3	40.1
51.4	35.3	46.2
77.1	88.5	30
60.6	67.5	16.2
68.3	63.4	62
44.8	6.6	77.6
49	29.3	65.5
55.5	25.8	62.5
57.5	30.2	62

R2=R2=
F=F=
P-value for overall model =

t1=t1=
for b1b1, P-value =
t2=t2=
for b2b2, P-value =

What is your conclusion for the overall regression model (also called the omnibus test)?

The overall regression model is statistically significant at α=0.01α=0.01.
The overall regression model is not statistically significant at α=0.01α=0.01.

Which of the regression coefficients are statistically different from zero?

neither regression coefficient is statistically significant
the slope for the first variable b1b1 is the only statistically significant coefficient
the slope for the second variable b2b2 is the only statistically significant coefficient
both regression coefficients are statistically significant

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