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 equation for the least-squares line is y = ax + b, where a is the slope and b is the y-intercept. Using a calculator or regression software, we find that the equation for the least-squares line is y = 0.778x + 26.556. Rounded to three decimal places, this becomes y = 0.778x + 26.556.

To check, we can plot the data and the least-squares line on a scatter plot. The line should appear to fit the data well, with approximately half the points above the line and half below. Looking at the scatter plot, we can see that C is the best choice as it appears to fit the data well.

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