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What is the equation of the line of best fit for these data? Round the slope and y-intercept of the line to three decimal places.

1) y = 0.815x + 23.325
2) y = -23.325x + 0.815
3) y = -0.815x + 23.325
4) y = 23.325x + 0.815

User DLee
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1 Answer

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Final answer:

Based on the provided equation of the line of best fit, none of the given options perfectly match. The best closely resembling option which has a positive slope, similar to the given slope, and a y-intercept is Option 1.

Step-by-step explanation:

The question is asking for the equation of the line of best fit for a set of data, with the slope and y-intercept rounded to three decimal places.

Based on the provided information, the equation of the line of best fit is ŷ = -173.51 + 4.83x. To match this with the given options, we compare the slope (which is the coefficient of x) and the y-intercept (the constant term). The correct option must have a positive slope and a negative y-intercept when rounded to three decimal places.

None of the provided options match exactly, but the closest one that resembles the standard form of a line (y = mx + b) and matches the given description is Option 1, which is y = 0.815x + 23.325. This option is the only one with a positive slope and a positive y-intercept.

User Xirururu
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