SOLUTION: Which of the linear equations BEST represents the line of best fit for the scatterplot? A. y = 1/3x - 1 B. y = 1/3x + 1 C. y = 3x + 1 D. y = 3x - 1 http://www.usates

Algebra ->  Linear-equations -> SOLUTION: Which of the linear equations BEST represents the line of best fit for the scatterplot? A. y = 1/3x - 1 B. y = 1/3x + 1 C. y = 3x + 1 D. y = 3x - 1 http://www.usates      Log On


   



Question 937085: Which of the linear equations BEST represents the line of best fit for the scatterplot?
A. y = 1/3x - 1
B. y = 1/3x + 1
C. y = 3x + 1
D. y = 3x - 1
http://www.usatestprep.com/modules/gallery/files/12/1228/1228.gif

Found 2 solutions by TimothyLamb, MathLover1:
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
D. y = 3x - 1
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Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
at first look, we see that y-intercept is -1; so, options B and C are excluded
A. y+=+%281%2F3%29x+-+1----could be this, or
B. y+=+%281%2F3%29x+%2B+1
C. y+=+3x+%2B+1
D. y+=+3x+-+1+----could be this

start with A. y+=+%281%2F3%29x+-+1, take few more values for x, find y and see does it match a point on a graph
if x=0,theny+=+3%2A0+-+1=-1 ..this is a matching point
if x=1,theny+=+%281%2F3%291+-+1=-2%2F3 ...this is not a matching point
if x=-1,theny+=+-1%2F3+-+1=-4%2F3 ...this is not a matching point

D. y+=+3x+-+1+
if x=0,theny+=+3%2A0+-+1=-1 ..this is a matching point
if x=1,theny+=+3%2A1+-+1=2 ..this is a matching point
if x=-1,theny+=+-3+-+1=-4...this is a matching point

so, solution is D. y+=+3x+-+1+