A researcher would like to predic the dependert variable Y from the two independert variables X, and X, for a sample of N= 18 subjects. Use multiple linear regression to calculate the coelficient of multiple determination and test the significance of the overal regression model. Use a signilficance level a= 0.01. XX 53.2 424 56.6 32.2 | 62.9 75 68.2 269 70.1 30.9 57.4 442 70.1 33 I 55.9 63 52 29 67.8 35.3 549 51.1 39.5 574469 605 45.7 527 57.2 | 43.2 I 61.1 49 478 40.4 42 45.7 56.1 42.2 37.3 422 51.8 5a9 47.5 53.4 51.9 37.1 48 46.8 66 33.8 61.7 32.3 53.4| 57.5 SS SS Pvalue What is your decision for the hypothesis test? O Reject the null hypothesis, H;:ß, = B, = 0 OFail to reject H, What is your final condlusion OThe evidence supports the claim that one or more of the regression coefficieres is non zero OThe evidence supports the claim that all of the regression coelficients are zero OThere is insufficient evidence to support the claim that at least one of the regression coelficients is non ero O There is insulfficient evidence to support the claim that all of the regression coefficienes are equal to zero
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.
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