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**

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