The table below shows randy breuers height in inches leading into his teen years. The graph below displays a scatter plot of the
data. Which equation best represents the line of best fit for this data?
The choices are:
A. y=1.1x+23
B. y=1.25x+20
C. y=1.25x+40.67
D. y=1.4x+40.67
2 answers:
The least-square regression line has a slope of:
m=(nΣxy-ΣyΣx)/(nΣx²-ΣxΣx)
and a y-intercept of:
b=(Σy-mΣx)/n
In this case: n=7, Σxy=4899, Σy=391, Σx=85, Σx²=1153 so
m=(7(4899)-391*85)/(7(1153)-85*85))=1058/846
b=(391*846-85*1058)/(7*846)=34408/846
So the line of best fit is:
y=(1058x+34408)/846 and if we approximated this as your answers see to have done....
y=1.25x+40.67
Answer:
c
Step-by-step explanation:
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