High School

Which equation of the least squares regression line most closely matches the data set?

A. ŷ = -10.1x + 118.8
B. ŷ = -0.31x + 37.3
C. ŷ = -2.3x + 97.9
D. ŷ = -0.09x + 11.5

Answer :

Final answer:

The correct least squares regression line equation from the dataset is ŷ = -173.51 + 4.83x, which does not match any of the options given (a-d).

Explanation:

The equation for the least squares regression line that most closely matches the dataset provided is none of the options given (a-d). The correct equation of the best-fit line as presented in the question data is ŷ = -173.51 + 4.83x. To identify the closest equation from a set of options, you would compare the slope and y-intercept of each option with those of the given equation. However, none of the choices match the provided slope of 4.83 and y-intercept of -173.51.

Additionally, a least squares regression line is a statistical method used to determine a line of best fit by minimizing the sum of the squares of the residuals (the differences between observed and predicted values).