The western city wishes to see if there is a relationship between the summer temperature and the amount
of electricity used (in kilowatts).
-If a correlation coefficient calculated for n = 14 and is found to be r = 0.856, what is the test value for the t - test?
A)4.059
B)5.736
C)2.851
D)6.374

Question

The western city wishes to see if there is a relationship between the summer temperature and the amount
of electricity used (in kilowatts). 
-If a correlation coefficient calculated for n = 14 and  is found to be r = 0.856, what is the test value for the t - test?
A)4.059 
B)5.736 
C)2.851 
D)6.374

Quizplus · Accepted Answer

The test value for the t-test can be calculated using the formula t = r√(n-2)/(1-r²), where r is the correlation coefficient and n is the sample size. Plugging in the given values, we get t = 0.856√12/(1-0.856²) = 5.736. Therefore, the correct choice is B. The test value for the t-test can be calculated using the formula t = r * sqrt(n-2) / sqrt(1-r^2). Plugging in the values given, we get t = 0.856 * sqrt(14-2) / sqrt(1-(0.856)^2) = 5.736. Therefore, the answer is B.

The Western City Wishes to See If There Is a Relationship