Calculate the r² statistic for t = 3.02 with N = 100 for each of the two groups. A) .02 B) .04 C) .08 D) .09

Question

Quizplus · Accepted Answer

The r equivalent for a t-test with two groups can be calculated using the formula $ r = \sqrt{\frac{t^2}{t^2 + df}} $, where $ df $ (degrees of freedom) is $ N - 2 $ for two groups. Here, $ N = 100 $, so $ df = 100 - 2 = 98 $. Plugging in the values, $ r = \sqrt{\frac{3.02^2}{3.02^2 + 98}} = \sqrt{\frac{9.1204}{9.1204 + 98}} = \sqrt{\frac{9.1204}{107.1204}} \approx \sqrt{0.0851} \approx 0.2919 $. The provided choices do not exactly match this result, but the closest approximation or relevant choice based on typical rounding or simplification for such calculations is not directly evident. However, assuming a potential simplification or rounding error in the question or choices, the principle of calculating r remains as described.

Calculate the R2 Statistic for T = 3

Calculate the R² Statistic for T = 3