A sample of n = 25 pairs of scores ( X and Y values) produces a correlation of r = –0.40. A. Are these sample data sufficient to conclude that there is a significant non-zero correlation between X and Y in the population? Use a two-tailed test at the α = .05 level of significance. B. What proportion of the variance for the Y scores is predicted by the regression equation?
Added by Adri-N F.
Step 1
05 level of significance with degrees of freedom (df) = n - 2 = 23. Looking up this value in a table of critical values for Pearson's correlation, we find that the critical value is approximately ±0.396. Since the absolute value of our sample correlation (0.40) is Show more…
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