Question

A Pearson's correlation coefficient of H.5 would be represented by a scatter plot in which:

A - Half of the data points sit perfectly on the line
B - There is a moderately good ht between the regression line and the individual data points on the scatter plot
C - The regression line slopes upwards
D - The regression line is flat (horizontal)

Answer 1

A Pearson's correlation coefficient of 0.5 represents a moderately good fit between the regression line and the individual data points on the scatter plot.

Step-by-step explanation:

The Pearson's correlation coefficient, denoted as r, measures the strength and direction of the linear relationship between two variables. A coefficient of 0.5 indicates a moderately good fit between the regression line and the individual data points on the scatter plot. This means that the points on the scatter plot form a moderately strong pattern around the regression line. Therefore, the correct answer is B - There is a moderately good fit between the regression line and the individual data points on the scatter plot.