You are told the following about a set of 4 xy data points T

You are told the following about a set of 4 x-y data points:
The correlation coefficient r = 0.642
The regression equation is yˆ 3.26x 0.27
The average y-value y 12.75
Given this information what would you say is the best predicted value to assign when x = 5.8.

PLEASE SHOW ALL WORK...

Solution

There are 4 data pairs.

n = 4

correlation coefficient (r) = 0.642

The sign of coefficient of X is depend on sign of correlation coefficient .

Here the sign of correlation coefficient is positive so the sign of coefficient of X is positive.

The regression equation is,

y^ = 0.27 + 3.26*x

The average y-value = 12.75

what would you say is the best predicted value to assign when x = 5.8.

y^ = 0.27 + 3.26(5.8)

y^ = 19.178

When x = 5.8 then y^ = 19.178