- (a) Plot the points (2, 8), (3, 10), (4, 16), (5, 17), (6, 22), (7, 20), and (8, 29) on the grid with diameter on the x-axis and height on the y-axis.
- (b) Draw a straight line through the plotted points that balances the number of points above and below it; this is the line of best fit.
- (c) Two ordered pairs that lie on the drawn line of best fit could be approximately (3, 10) and (7, 22).
- (d) Using the points (3, 10) and (7, 22), calculate the slope: m = (22 - 10) / (7 - 3) = 12 / 4 = 3. Use point-slope form with (3, 10): y - 10 = 3(x - 3). Simplify to get y = 3x + 1.
- (e) Substitute x = 14 into the equation y = 3x + 1: y = 3(14) + 1 = 42 + 1 = 43. The estimated height is 43 feet.
Parent Tip: Review the logic above to help your child master the concept of regression line worksheet.
