Find the equation of the least-squares line for the given data.Draw a scatter diagram for the given data and graph the least-squares line. Please round the coefficients in your equation to three decimal places.

Question

Find the equation of the least-squares line for the given data.Draw a scatter diagram for the given data and graph the least-squares line.  Please round the coefficients in your equation to three decimal places.

Quizplus · Accepted Answer

The scatter diagram shows a clear linear relationship between the two variables, and the least-squares line appears to fit the data well. The equation of the least-squares line is y = -1.443x + 38.929, rounded to three decimal places. This can be found using a calculator, spreadsheet software, or by hand using the formulas for slope and y-intercept. Choice A and B are incorrect because they do not match the correct equation, and choice D is incorrect because it is not a valid option.

Find the Equation of the Least-Squares Line for the Given