## Related questions with answers

Given are data for two variables, x and y.

$\begin{matrix} x_i & \text{6} & \text{11} & \text{15} & \text{18} & \text{20}\\ y_i & \text{6} & \text{8} & \text{12} & \text{20} & \text{30}\\ \end{matrix}$

Develop an estimated regression equation for these data.

Solutions

VerifiedThe goal of this task is to calculate the estimated regression equation.

Given are $x_i$ and $y_i$ data for $i=1,2,3,4,5$. The minimal squares regression equation $\hat{y}=b_0+b_1x$ can be found either using software or using these formulas:

$b_1=\dfrac{\sum_i (x_i-\overline{x})(y_i-\overline{y})}{\sum_i (x_i-\overline{x})^2},\qquad b_0=\overline{y}-b_1\overline{x}.$

Given:

$n=\text{Sample size}=5$

In this exercise, we determine the regression equation of the least-squares line.

*What formulas do we require to derive the regression equation?*

## Create a free account to view solutions

## Create a free account to view solutions

## Recommended textbook solutions

#### Statistics for Business and Economics

13th Edition•ISBN: 9780134446332 (1 more)James T. McClave, P. George Benson, Terry T Sincich#### Statistics for Business and Economics

12th Edition•ISBN: 9781133274537 (12 more)David R. Anderson, Dennis J. Sweeney, James J Cochran, Jeffrey D. Camm, Thomas A. Williams#### Essentials of Modern Business Statistics with Microsoft Office Excel

7th Edition•ISBN: 9781337298292David Anderson, Dennis J. Sweeney, James J Cochran, Jeffrey D. Camm, Thomas A. Williams#### Statistics for Business and Economics

14th Edition•ISBN: 9781337901062 (1 more)David R. Anderson, Dennis J. Sweeney, James J Cochran, Jeffrey D. Camm, Thomas A. Williams## More related questions

1/4

1/7