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2 answers:
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Answer:
a) Selling price y= a + b (age x)
b)
a= 728.025
b= -38.217
c)
Selling price y = 728.025 - 38.217 age x
d)
SSE=8280.25
Step-by-step explanation:
a)
The regression model can be written as
y=a+bx
Here y=selling price and x is age.
So, the regression model will be
Selling price y= a + b (age x)
b)
We have to find the values of "a" and "b"
sumx=5+10+12+14+15=56
sumy=500+400+300+200+100=1500
sumxy=5*500+10*400+12*300+14*200+15*100=14400
sumx²=5²+10²+12²+14²+15²=690
n=5
b=-12000/314
b=-38.217
ybar=a+bxbar
a=ybar-bxbar
ybar=sumy/n=1500/5=300
xbar=sumx/n=56/5=11.2
a=300-(-38.217)(11.2)
a=300+428.025
a=728.025
c)
Selling price y = a - b(age x)
Selling price y = 728.025 - 38.217 age x
d)
SSE known as sum of square of error can be calculated as
SSE=sum(y-yhat)²
y 500 400 300 200 100
x 5 10 12 14 15
yhat= 728.025 - 38.217 age x 536.940 345.855 269.421 192.987 154.770
y-yhat -36.940 54.145 30.579 7.013 -54.770
(y-yhat)² 1364.56 2931.68 935.08 49.18 2999.75
SSE=sum(y-yhat)²
SSE=1364.56 +2931.68 +935.08 +49.18 +2999.75
SSE =8280.25
Answer:
Measure of ∠FGE is 40.2°.
Step-by-step explanation:
Refer to the attachment.
Consider ΔFGE. Given that ∠FEG = 90° and ∠FGE is x°.
To find the value of ∠FGE use trigonometric ratios.
Use sine ratio to find the value of ∠FGE.
Rewriting it in terms of x° as follows,
Now find the opposite and hypotenuse side of the angle ∠FGE.
So opposite side of ∠FGE is FE and hypotenuse side of ∠FGE is FG.
Substituting the values,
Given that length of FE is 12 inch and FG is 18.6 inch.
Substituting the value,
To find the value of x, taking inverse sin.
Calculating the value,
Rounding to nearest tenth the value of angle is 40.2
Therefore measure of ∠FGE is 40.2° .
