Which of the following equation correspo...

Which of the following equation corresponds to the line of best fit for the data set shown above ?

`y =0.4x-1`

`y=0.4x+1`

`y=2.5x+1`

`y=2.5x-1`

Text Solution

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The correct Answer is:

Knowing where the y-intercept of the line of best fit falls will help you eliminate answer choices. Because the line of best fit intersects the y-axis below the x-axis, you know that the y-intercept is negative, so eliminate (B) and (C ) (the y-intercept is +1 for each of those lines). Now look at the slope. The line rises along the y-axis much faster than it runs along the x-axis, so the slope must be greater than 1, making (D) correct.

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Given that a,b, and c are constants and that a gt 0, which of the following is the equation for the line of best fit for the above scatterplot ?

`y = ax +b`

`y = a ^(bx)`

`y =-ax ^(2) +bx+c`

`y = ax ^(2)+bx+c`

Which of the following is most likely the slope of the line of best fit for the scatterplot above?

`-10`

`-1`

`1`

`10`

(##KPL_SAT_PRD_PLS_C09_E01_004_Q01.png" width="80%"> The scaterplot abouve shows data collected each year after the British Parlimament enacted a mandatory seat belt law and line of beast fit to the data. Which of the following equations best represents the trend of the data shown in the figure ?

`y = 0.4x+25`

`y = 1.8x+15`

`y=2.1x+35`

`y=2.6x+25`