Question

Mel created a scatter plot and drew a line of best fit, as shown. a scatter plot has data points (2, 9), (3, 6), (5, 11), (6, 10), (7, 9), (9, 14), (10, 11), (12, 12), (12, 16), (15, 16) and (17, 19). a diagonal curve fits two points. the maximum range of points lies above and below the curve. what is the equation of the line of best fit that mel drew?

Answer 1

To find the equation of the line of best fit, perform linear regression on the given data points. The equation of the line is y = 0.7x + 6.13.

Step-by-step explanation:

To find the equation of the line of best fit, we need to perform linear regression on the given data points. Here are the steps:

1. Enter the data into a graphing calculator and plot the scatter plot.
2. Use the calculator's regression function to find the equation of the least-squares regression line.
3. Add the regression line to the scatter plot.
4. The equation of the line of best fit will be 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 = 0.7x + 6.13.