(a) State the degrees of freedom for the Ftest for overall significance. The degrees of freedom for regression are 20 and for error 45 (b) Use Appendix F to look up the critical value of Ffor a = .05. (Round your a F.05 (c-1) Calculate the Fstatistic. (Round your answer to 4 decimal places.) F statistic
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
![### ANOVA Table for Regression Analysis
#### ANOVA Table:
| Source | SS | d.f. | MS |
|-------------|----------|------|-------|
| Regression | 1,192,019 | 20 | 59,601 |
| Residual | 1,602,669 | 45 | 35,615 |
| Total | 2,794,688 | 65 | |
#### Instructions:
(a) **Degrees of Freedom**
State the degrees of freedom for the F test for overall significance.
- The degrees of freedom for regression are **20** and for error are **45**.
(b) **Critical Value of F**
Use Appendix F to look up the critical value of F for α = 0.05. (Round your answer to 2 decimal places.)
\[ F_{0.05} = \square \]
(c-1) **Calculate the F Statistic**
- Calculate the F statistic. (Round your answer to 4 decimal places.)
\[ F = \square \]
---
*Note: This table provides an overview of the analysis of variance for regression, detailing the sum of squares (SS), degrees of freedom (d.f.), and mean square (MS) for both the regression and residual components. Use this information to complete the task requirements.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F601dbf5f-628c-45c7-b6ed-25d80ebea2e5%2Fbbd4f966-4215-4d92-9fa8-ada389aba5e0%2Fg8coc1c_processed.jpeg&w=3840&q=75)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
