High School

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

A. [tex]\hat{y} = -10.1x + 118.8[/tex]

B. [tex]\hat{y} = -0.31x + 37.3[/tex]

C. [tex]\hat{y} = -2.3x + 97.9[/tex]

D. [tex]\hat{y} = -0.09x + 11.5[/tex]

Answer :

Final answer:

The equation of the least squares regression line that most closely matches the data set is ŷ = -0.31x + 37.3.

Explanation:

The equation of the least squares regression line that most closely matches the data set is ô = -0.31x + 37.3.

The equation of a least squares regression line is yˆ = mx + b, where m is the slope of the line and b is the y-intercept. In this case, the slope is -0.31 and the y-intercept is 37.3.

Therefore, the equation that best represents the data set is yˆ = -0.31x + 37.3.

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