Question

x	10	15	28	42	48
y	16	48	76	89	157

The average for x is 28.6 and the standard deviation is 16.49.
The average for y is 77.2 and the standard deviation is 52.69.

The correlation coefficient is 0.93.

a) Find the regression line for predicting y from x?

b) What the value for y if x is 64?

Answer 1

Slope (b) of Regression line is given by:

Substituting values, we get:

= 2.9716

Intercept (a) of Regression line is given by:

Substituting values, we get:

So,

the Regression Equation is given by:

                               (1)

(b) Putting x = 64, we get:

So

Answer is:

490.6306