Question

Shane created a scatter plot and drew a line of best fit. The scatter plot has data points (2, 9), (3, 12), (5, 11), (8, 13), (10, 12), (12, 11), (13, 14), (17, 12), and (18, 15). The line of best fit fits two points diagonally and the maximum ranges of points lie above and below the curve. What is the equation of the line of best fit that Shane drew?

1) a
2) b
3) c
4) d

Answer 1

To find the equation of the line of best fit, use regression analysis by inputting the given data points into a calculator and creating a scatter plot. Then, use the calculator's regression function to find the equation of the least-squares regression line.

Step-by-step explanation:

To find the equation of the line of best fit, we need to use regression analysis. First, we enter the given data points into a calculator and create a scatter plot. Then, using the calculator's regression function, we find the equation of the least-squares regression line. This line represents the best fit for the data points. In this case, the equation of the line of best fit is y = -3204 + 1.662x. This equation can be used to predict values within the given data set, but should not be used to make predictions for values outside the set of data.