Question

graph the line of best fit. click to plot a point. two points plot a line. click a plotted point to delete it.

Explanation:

Step1: Calculate the means of x - values and y - values

Let the x - values be \(x_1,x_2,\cdots,x_n\) and y - values be \(y_1,y_2,\cdots,y_n\). Calculate \(\bar{x}=\frac{1}{n}\sum_{i = 1}^{n}x_i\) and \(\bar{y}=\frac{1}{n}\sum_{i = 1}^{n}y_i\).

Step2: Calculate the slope \(m\)

\(m=\frac{\sum_{i = 1}^{n}(x_i-\bar{x})(y_i - \bar{y})}{\sum_{i = 1}^{n}(x_i-\bar{x})^2}\)

Step3: Calculate the y - intercept \(b\)

\(b=\bar{y}-m\bar{x}\)

Step4: Plot the line

Use the equation \(y = mx + b\). Choose two x - values, substitute them into the equation to get the corresponding y - values. Plot these two points and draw a straight line through them.

Answer:

Plot the line \(y=mx + b\) using two points obtained from the equation, where \(m\) and \(b\) are calculated as above.