## Related questions with answers

Given are five observations collected in a regression study on two variables.

$\begin{matrix} x_i & \text{2} & \text{6} & \text{9} & \text{13} & \text{20}\\ \hline y_i & \text{7} & \text{18} & \text{9} & \text{26} & \text{23}\\ \end{matrix}$

Develop the estimated regression equation for these data.

Solutions

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

The averages of sampled $x$ and $y$ values are needed for regression coefficient estimators. The mean of $x$ values is:

$\overline{x}=10$

The mean of the $\overline{y}$ values is

$\overline{y}=16.6$

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?*

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