Final answer:
To draw a line of best fit and write the equation of the line, use the least-squares regression method. Plot the data points, draw a line that fits the data, and calculate the slope and y-intercept to write the equation.
Step-by-step explanation:
To draw a line of best fit and write the equation of the line using the given data, you can use the least-squares regression method. Here are the steps to follow:
- Plot the given data points on a graph.
- Visually draw a line that appears to fit the data points as closely as possible. This is your line of best fit.
- Choose two convenient points on the line and calculate the slope of the line using the formula (change in y / change in x).
- Extend the line to intersect with the y-axis. The y-intercept is the value where the line crosses the y-axis.
- Using the slope and the y-intercept, write the equation of your line of best fit in the form y = mx + b, where m represents the slope and b represents the y-intercept.
For the given data, the equation of the line of best fit is y = -173.51 + 4.83x. You can use this equation to predict the weight for a given height, such as someone who is 68 inches tall.