i. A t test is used to test the significance of the coefficient of correlation. ii. When testing the strength of the relationship between two variables, the alternate hypothesis is: H₀: $\rho$ 0. iii. Perfect correlation means that the scatter diagram will appear as a straight line A) (i), (ii), and (iii) are all correct statements. B) (i) and (ii) are correct statements but not (iii). C) (i) and (iii) are correct statements but not (ii). D) (ii) and (iii) are correct statements but not (i). E) (i), (ii), and (iii) are all false statements.

Question

i. A t test is used to test the significance of the coefficient of correlation. ii. When testing the strength of the relationship between two variables, the alternate hypothesis is: H₀: $\rho$ > 0. iii. Perfect correlation means that the scatter diagram will appear as a straight line A) (i), (ii), and (iii) are all correct statements. B) (i) and (ii) are correct statements but not (iii). C) (i) and (iii) are correct statements but not (ii). D) (ii) and (iii) are correct statements but not (i). E) (i), (ii), and (iii) are all false statements.

Quizplus · Accepted Answer

- A t-test is typically used to test the significance of the difference between two means, not directly for the significance of the coefficient of correlation. However, it can be used in the context of testing the significance of the Pearson correlation coefficient by transforming it.- The alternate hypothesis for testing the strength of the relationship between two variables (concerning correlation) would usually be stated in terms of the correlation coefficient ($\rho$) being different from zero, not necessarily greater than zero. The statement as given seems to imply a one-sided test, which is less common unless there's a specific hypothesis about the direction of the relationship.- Perfect correlation does indeed mean that the scatter diagram will appear as a straight line, indicating that all the points lie perfectly on a line, either with a positive or negative slope depending on whether the correlation is +1 or -1.

I a T Test Is Used to Test the Significance ρ\rhoρ

I a T Test Is Used to Test the Significance $\rho$