Abivariate data set has x = 21, sx = 13, y = 55, sy = 27, and r = .88. what is the equation for the regression line of y on x?

a. y=46.81+.39x
b. y=93.43+1.83x
c. y=16.57+1.83x
d. y=22.31+.39x
e. y=19.44-1.83x

c)

Step-by-step explanation:

Equation for regression line of y on x is given as

where

= predicted value

m = slope of line

b = intercept

m and b are found as

r = correlation coefficient = 0.88

Sx = standard deviation for independent variable x = 13

Sy = standard deviation for dependent variable y = 27

= mean value of independent variable x = 21

= mean value of dependent variable y = 55

Substituting these values in (2) and (3)

Putting these values of m and b in (1)

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9 x 8 divided by (5-3)=36