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Problem 1

(a)$ find the equation of the leastsquares line for the data and (b) draw a scatter diagram for the data and graph the least-squares line. $$ \begin{array}{lllll} \hline \boldsymbol{x} & 1 & 2 & 3 & 4 \\ \hline \boldsymbol{y} & 4 & 6 & 8 & 11 \\ \hline \end{array} $$

Expert verified

The least-squares line for the given data points is \(y = 2.3x + 2.5\). When graphing the scatter plot of the data points (1, 4), (2, 6), (3, 8), and (4, 11), and the least-squares line, the linear regression line shows the best fit relationship among the given data points.

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