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Reading 11: Correlation and Regression - LOS c : Q1-5

Q1. We are examining the relationship between the number of cold calls a broker makes and the number of accounts the firm as a whole opens. We have determined that the correlation coefficient is equal to 0.70, based on a sample of 16 observations. Is the relationship statistically significant at a 10% level of significance, why or why not? The relationship is:

A)   significant; the t-statistic exceeds the critical value by 3.67.

B)   not significant; the critical value exceeds the t-statistic by 1.91.

C)   significant; the t-statistic exceeds the critical value by 1.91.

Q2. A study of 40 men finds that their job satisfaction and marital satisfaction scores have a correlation coefficient of 0.52. At 5% level of significance, is the correlation coefficient significantly different from 0?

A)   No, t = 1.68.

B)   Yes, t = 3.76.

C)   No, t = 2.02.

Q3. Suppose the covariance between Y and X is 0.03 and that the variance of Y is 0.04 and the variance of X is 0.12. The sample size is 30. Using a 5% level of significance, which of the following is most accurate? The null hypothesis of:

A)   no correlation is rejected.

B)   significant correlation is rejected.

C)   no correlation is not rejected.

Q4. Consider a sample of 60 observations on variables X and Y in which the correlation is 0.42. If the level of significance is 5%, we:

A)   cannot test the significance of the correlation with this information.

B)   conclude that there is statistically significant correlation between X and Y.

C)   conclude that there is no significant correlation between X and Y.

Q5. Consider a sample of 32 observations on variables X and Y in which the correlation is 0.30. If the level of significance is 5%, we:

A)   conclude that there is significant correlation between X and Y.

B)   conclude that there is no significant correlation between X and Y.

C)   cannot test the significance of the correlation with this information.

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