The correlation coefficient is used when both variables are

The correlation coefficient is used when both variables are measured on a scale of measurement. The is a measure of the proportion of variance in one of the variables that is accounted for by the other variable. To calculate the coefficient of determination we If when determining the cross-products for your correlation coefficient, positive z scores on one variable go with positive z scores on the other variable and negative z scores on one variable go with negative z scores on the other variable, the correlation coefficient will be Suppose that the correlation between height and weight for adults is +.75. What proportion (or percent) of the variability in weight is accounted for by the relationship with height? The indicates the magnitude of a correlation coefficient. A correlation coefficient of indicates that the variables form a perfect linear relationship.

Solution

Q1.
b. Pearson, Innterval/Ratio

Pearson’s correlation coefficient is used when both variables are measured on an interval or ratio scale. Alter
native correlation coefficients can be used with ordinal and nominal scales of measurement.

Q2.

b.coeffcient of determination

coeffcient of determination (r2). Calculated by squaring the
correlation coefficient, the coefficient of determination is a measure of the
proportion of the variance in one variable that is accounted for by another
variable.

Q3.
a. Square the correlation coeffcient

coeffcient of determination = r^2

Q6.
when r = 0.75, r^2 = 0.5625

C. 56% variability