In a regression study, if the correlation coefficient (r) is larger, we can say

Question

In a regression study, if the correlation coefficient (r) is larger, we can say the two related variables have a stronger relationship between them. (T, F) When we compare true mean values of three samples to know if they are the same, we cannot use a t-test, but we need to use an ANOVA analysis. (T, F) Let the expected value of random variable X is 10, and the expected value of random variable Y is 20. Then the expected value of 5X+3Y is larger than 100. (T, F) We call a significance level of a statistics test a confidence level.

Explanation / Answer

1) True.

2) True

3) True

E( 5X + 3Y ) = 5 E ( X ) + 3 E ( Y )

                  = 5 * 10 + 3 *20

                  = 50+ 60

                  = 110

4 ) False

The significance level, denoted by , is the probability of rejecting the null hypothesis when it is true. Using significance level we find critical region. The critical region defines how far away our sample statistic must be from the null hypothesis value.

The confidence level represents the theoretical ability of the analysis to produce accurate intervals .

The confidence level is equivalent to 1 – level. So, if your significance level is 0.05, the corresponding confidence level is 95%.

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