Refer to the ANOVA table for this regression. Source SS d.f. MS Regression 1,028,994 15 68,600 Residual 1,625,306 35 46,437 Total 2,654,300 50 (a) State the degrees of freedom for the F test for overall significance. The degrees of freedom for regression are and for error . (b) Use Appendix F to look up the critical value of F for α = .05. (Round your answer to 2 decimal places.) F.05 (c-1) Calculate the F statistic. (Round your answer to 4 decimal places.) F statistic (c-2) The overall regression is significant. No Yes (c-3) The hypotheses is H0: All the coefficients are zero (β1 = β2 = β3 = 0) vs. H1: At least one coefficient is not zero. H0: At least one coefficient is non-zero vs. H1: All the coefficients are zero (β1 = β2 = β3 = 0) a b (d) Calculate R2 and R2adj. (Round your answers to 4 decimal places.) R2 R2adj
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.
Refer to the ANOVA table for this regression.
| Source | SS | d.f. | MS |
| Regression | 1,028,994 | 15 | 68,600 |
| Residual | 1,625,306 | 35 | 46,437 |
| Total | 2,654,300 | 50 | |
(a) State the degrees of freedom for the F test for overall significance.
The degrees of freedom for regression are and for error .
(b) Use Appendix F to look up the critical value of F for α = .05. (Round your answer to 2 decimal places.)
F.05
(c-1) Calculate the F statistic. (Round your answer to 4 decimal places.)
F statistic
(c-2) The overall regression is significant.
-
No
-
Yes
(c-3) The hypotheses is
- H0: All the coefficients are zero (β1 = β2 = β3 = 0) vs. H1: At least one coefficient is not zero.
- H0: At least one coefficient is non-zero vs. H1: All the coefficients are zero (β1 = β2 = β3 = 0)
-
a
-
b
(d) Calculate R2 and R2adj. (Round your answers to 4 decimal places.)
| R2 | |
| R2adj | |
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