SOLUTION: Assessment 4 Consider the following data: X 4 6 8 9 19 Y 12 16 25 30 39 Which of the following statements is correct? a. The slope is -3.24. b. The intercept i

Algebra ->  Proportions  -> Lessons -> SOLUTION: Assessment 4 Consider the following data: X 4 6 8 9 19 Y 12 16 25 30 39 Which of the following statements is correct? a. The slope is -3.24. b. The intercept i      Log On


   

Question 1196542: Assessment 4

Consider the following data:
X 4 6 8 9 19
Y 12 16 25 30 39
Which of the following statements is correct?

a.
The slope is -3.24.
b.
The intercept is 3.54.
c.
When X is 10, then the estimated sales will be 25.83
d.
Y = 3.54-3.24X
e.
Coefficient of determination is 0.9849.
Answer by MathLover1(20849) About Me  (Show Source):
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given points: (4,12), (6,16), (8,25), (9,30), (19,39)

since given points do not lie on same line, we will find equation off best fit line
mean%28x%29=9.2
mean%28y%29=24.4
slope=%28sum%28%28xi-x%29%29%28yi-y%29%29%2F%28xi-x%29%5E2=232.6%2F134.8=1.73
intercept=y-mx=24.4-1.73%289.2%29=8.53

equation off best fit line is y=1.73x%2B8.53

the slope is 1.73
the intercept is 8.53


check for x=10
y=1.73%2A10%2B8.53
y+=+25.83

answer:

c.
When x is 10, then the estimated sales will be 25.83