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igomit [66]
3 years ago
10

which of the following equations is the equation of a suitable line of best fit for the data given below {(45,18), (62,13), (72,

11), (55,15), (38,21), (26,31), (92,9), (64,13), (29,28), (33,25), (49,17)} a. y=3x+35 b. y=-10x+35 c. y=-3/10x-35 d. y=-3/10x+35
Mathematics
1 answer:
Nuetrik [128]3 years ago
5 0

Sort the data by x:

(26,31),(29,28), (33,25), (38,21),(45,18),(49,17),(55,15), (62,13),(64,13), (72,11), (92,9)}

That look like an obvious decreasing trend. From the first and last point we get a slope of (9-31)/(92-26) = -1/3 and a y intercept of 31 - (-1/3)26 = 39.67.

That's pretty close to Choice d y=-3/10x+35

Answer: d

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Step-by-step explanation:

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We know that perpendicular lines have opposite-signed, reciprocal slopes of the original line. Therefore, if the slope of f(x) is m = 25, the slope of g(x) must be m = (-1/25).

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8 = (-1/25)(3) + b                               <----- Plug in "x" and "y" from point

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203/25 = b                                      <----- Add (3/25) to both sides

Now that we know both the values of the slope and y-intercept, we can construct the equation of g(x).

g(x) = (-1/25)x + (203/25)

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