Question

To predict a bear’s weight, data was taken from anesthetized bears on their age (months), gender (M=1, F=2), torso length, and chest size. A regression analysis is given below.

ANOVA
	df	SS	MS	F
Regression	4	739842	184961
Residual	49	46441	947.8
Total	53	786283
	P-value
Intercept	0.0000
Age (months)	0.0027
Gender	0.0422
Torso Length	0.8282
Chest Size	0.0000

Name the variables that are influential at the 0.05 level.

The following questions pertain to the overall significance of the variables on a bear's weight.

Compute the test statistic F (1 decimal place)

Name the critical value

Draw a conclusion regarding the overall significance of the variables on a bear's weight

Answer 1

Name the variables that are influential at the 0.05 level

Age, Gender & Chest Size are influential variables at the 0.05 level.

test statistic F = MSRegression/ MSResidual

test statistic F = 184961/947.8

test statistic F = 195.1477.

critical value = 2.561124

conclusion regarding the overall significance of the variables on a bear's weight

Since F= 195.1477 > 2.561124 we reject the null hypothesis and conclude that the relationship between Age, Gender, Torsco Length, Chest Size and Bear’s weight are significant