## Marketing Research

Business

## Quiz 17 :

Correlation and Regression

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Q06 Q06 Q06

Partial correlations have an order associated with them. The order indicates how many variables are being adjusted or controlled. The simple correlation coefficient, r, has a , as it does not control for any additional variables when measuring the association between two variables. The coefficient r

_{sy.z}_{ }is a partial correlation coefficient, as it controls for the effect of one additional variable, Z.Free

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Multiple Choice

Q89 Q89 Q89

Suppose a researcher wants to explain attitudes towards a respondent's city of residence in terms of duration of residence in the city. The attitude is measured on an 11- point scale and the duration of residence is measured in terms of the number of years the respondent has lived in the city. In a pretest of 12 respondents, the calculated t value for the correlation coefficient based on the data given is 8.414. The critical value of t for a two- tailed test and a = 0.05 is 2.228. r = .9361. What is the null hypothesis for this scenario? What do the results mean in terms of the null hypothesis and the correlation coefficient, r?

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Q90 Q90 Q90

Given the multiple regression equation, Y

^{^}^{ }= a + b_{1}X_{1}_{ }+ b_{2}X_{2}_{,}_{ }and the bivariate equation Y^{^}^{ }= a + bX, why is the partial regression coefficient, b_{1}, different from the regression coefficient, b, obtained by regressing Y on only X_{1}?Free

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