A policy analyst would like to predict well-being from a set of seven predictor variables for a sample of 41 participants. A multiple linear regression analysis was conducted. Complete the following ANOVA summary table for the test of significance of the overall regression model. Except for the P-value, report all answers accurate to 3 decimal places; report the P-value accurate to 4 decimal places. Use a significance level of a 0.05. Source df MS F P.value Regression 25 Residual TOTAL 524 000
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.
![A policy analyst would like to predict well-being from a set of seven predictor variables for a
sample of 41 participants. A multiple linear regression analysis was conducted. Complete the
following ANOVA summary table for the test of significance of the overall regression model.
Except for the P-value, report all answers accurate to 3 decimal places; report the P-value
accurate to 4 decimal places. Use a significance level of a = 0.05.
Source
df
MS
F
P-value
Regression
25
Residual
TOTAL
524
What is your decision for the hypothesis test?
O Reject the nulI hypothesis, Ho: B1 = B2 = ... = B7 = 0
O Fail to reject Ho
What is your final conclusion?
OThe evidence supports the claim that one or more of the regression coefficients is non-zero
OThe evidence supports the claim that all of the regression coefficients are zero
OThere is insufficient evidence to support the claim that at least one of the regression
coefficients is non-zero
OThere is insufficient evidence to support the claim that all of the regression coefficients are
equal to zero
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