Chapter 4.7, Problem 67SR

To determine

Tofind:The equation of regression line for the data given in table.

Answer to Problem 67SR

The equation of the regression line is $Y=10.7X+10.1$ .

Explanation of Solution

Given:

The table is:

  

Calculation:

The equation for the regression line can be calculated by performing the following calculations.

Sum of X = 15

Sum of Y = 211

Mean X = 3

Mean Y = 42.2

Sum of squares (SSX) = 10

Sum of products (SP) = 107

Regression Equation = $\text{Y }=bX+a$

Here,

  $\begin{array}{l}b=\frac{SP}{SSX}=\frac{107}{10}=10.7\\ a=\left(Meany\right)-b\left(MeanX\right)=\text{ 42}\text{.2 }-\left(10.7\times 3\right)=\text{ 10}\text{.1}\end{array}$

Substitute the values of a and b .

The equation of the regression line is $Y=10.7X+10.1$

The plot for the regression line is: