Estimating Line of Best Fit

Make a scatterplot of the following data and draw a line that appears to best fit the data. Find the equation of this line.

Data: hours a student studied vs grade received

Steps for line of best fit

  1. Using a straightedge, find the line that cuts data points s that about an even number of points are above and below the line.
  2. Determine the equation using intercepts, points it goes through, or other methods.

Our line intersects the y axis at 43, (0,43) and also intersects (4,90

point slope form (y-y1=m(x-x1))

slope=\frac{y_2-y_1}{x_2-x_1} = \frac{90-43}{4-0} =\frac{47}{4}

y-43=\frac{47}{4} \cdot (x-0)