Asked by Simply Eleni on Jun 02, 2024
Verified
In a simple linear regression analysis, if the t-test statistic for testing the significance of the regression model is 3.4, then the F-test statistic from the ANOVA table for regression will be 11.56.
t-test Statistic
A test statistic used to determine if there is a significant difference between the means of two groups.
F-test Statistic
A value derived from an F-test which is used to compare statistical models in terms of variance explained by the models, to determine if the models are significantly different from each other.
ANOVA Table
A table used to summarize the sources of variability in the data being analyzed in an Analysis of Variance (ANOVA) test.
- Understand the importance of the regression slope coefficient in identifying the connection between variables.
- Gain an understanding of the concept of sum of squares in regression analysis and its impact.
Verified Answer
ZK
Zybrea KnightJun 05, 2024
Final Answer :
True
Explanation :
In simple linear regression, the square of the t-test statistic for the slope coefficient equals the F-test statistic from the ANOVA table for regression. Therefore, 3.42=11.563.4^2 = 11.563.42=11.56 .
Learning Objectives
- Understand the importance of the regression slope coefficient in identifying the connection between variables.
- Gain an understanding of the concept of sum of squares in regression analysis and its impact.