Question

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

Answer 1

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