Estimate of error standard deviation: 0.5210033 Parameter estimates (rounded): Parameter Estimate Std. Err. Alternative DF T-Stat P-Value Intercept 11.665 2.46250 Slope 1.0718 0.1333 0 47 4.737 <0.0001 47 8.043 <0.0001 At the 1% significance level, what is your best conclusion on the hypotheses that the slope is equal to zero (0)? The intercept is statistically significant There is not a significant linear relationship between the two variables O There is a significant relationship between the size of humerus and head size of sparrows O There is a significant positive linear relationship between the size of humerus and head size of sparrows O This data does not suggest the use of a regression model. It is better suited as a paired difference test; since there is a clear pairin- variable here (body measurements are both taken from a common sparrow)
Estimate of error standard deviation: 0.5210033 Parameter estimates (rounded): Parameter Estimate Std. Err. Alternative DF T-Stat P-Value Intercept 11.665 2.46250 Slope 1.0718 0.1333 0 47 4.737 <0.0001 47 8.043 <0.0001 At the 1% significance level, what is your best conclusion on the hypotheses that the slope is equal to zero (0)? The intercept is statistically significant There is not a significant linear relationship between the two variables O There is a significant relationship between the size of humerus and head size of sparrows O There is a significant positive linear relationship between the size of humerus and head size of sparrows O This data does not suggest the use of a regression model. It is better suited as a paired difference test; since there is a clear pairin- variable here (body measurements are both taken from a common sparrow)
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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Transcribed Image Text:R-sq = 0.5791743
Estimate of error standard deviation: 0.5210033
Parameter estimates (rounded):
Parameter Estimate Std. Err. Alternative DF T-Stat P-Value
Intercept 11.665 2.4625 # 0
Slope
1.0718 0.1333 0
47 4.737 <0.0001
O The intercept is statistically significant
47 8.043 <0.0001
At the 1% significance level, what is your best conclusion on the hypotheses that the slope is equal to zero (0)?
O There is not a significant linear relationship between the two variables
O There is a significant relationship between the size of humerus and head size of sparrows
O There is a significant positive linear relationship between the size of humerus and head size of sparrows
O This data does not suggest the use of a regression model. It is better suited as a paired difference test; since there is a clear pairing
variable here (body measurements are both taken from a common sparrow)
Transcribed Image Text:We are uncertain as to the level or direction of the linear relationship between the size of the humerus and the size of the
head of a sparrow (I didn't just make this up, it was one of the datasets that used to be included in StatCrunch.....). The
regression results are shown below;
Simple linear regression results:
Dependent Variable: beak/head
Independent Variable: humerus
beak/head = 11.665302 +1.0718235 humerus
Sample size: 49
R (correlation coefficient) = 0.761
R-sq = 0.5791743
Estimate of error standard deviation: 0.5210033
Parameter estimates (rounded):
e
Parameter Estimate Std. Err. Alternative DF T-Stat P-Value
ercept 11.665 2.4625 # 0
1.0718 0.1333 0
47 4.737 <0.0001
47 8.043 <0.0001
1% significance level, what is your best conclusion on the hypotheses that the slope is equal to zero (0)?
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