Question

A set of n = 25 pairs of scores (x and y values) has a pearson correlation of r = 0. 80. how much of the variance for the y scores is predicted by its relationship with x?

Answer 1

The amount of variance for y that is predicted by its relationship with x is 64%.

How much variance is predicted?

Variance measures the rate of dispersion of a data point around the dataset. It can be calculated by finding the square of the standard deviation of a dataset. Variance measures the variation of a data set.

Correlation is a statistical measure used to measure the linear relationship that exists between two variables. The greater the correlation coefficient is closer to one, the greater the linear relationship that exists between the two variables. A positive correlation occurs when the two variables move in the same direction.

Variance = (correlation coefficient²) x 100

(0.80²) x 100

0.64 x 100 = 64%

To learn more about correlation, please check: brainly.com/question/27246345

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