Answer:
The table of data is shown below
The equation of line best fit is given in the form y=mx+b
to find the slope 'm', follow these steps:
STEP 1
Mean (X) = \frac{4+6+8+13+11}{5}=8.4
Mean(Y)= \frac{17+12+9+4+3}{5}=9
STEP 2
Refer to Picture 2 and Picture 3 for the working out of ( x_{i} -mean(X)) and ( y_{i} -mean(Y))
( x_{i}-X)( y_{i}-Y) =(-4.4)(8)+(-2.4)(3)+(-0.4)(0)+(2.6)(-5)+(4.6)(-6)
( x_{i}-X)( y_{i}-Y) =(-35.2)+(-7.2)+0+(-13)+(-27.6)=-83
STEP 3:
( x_{i}-X) ^{2} = (-4.4)^{2}+ (-2.4)^{2}+ (-0.4)^{2}+ (2.6)^{2}+ (4.6)^{2}=53.2
STEP 4:
To find slope, divide answer in STEP 2 by the answer in STEP 3
m= \frac{-83}{53.2} =-1.56
STEP 5:
b=Mean(Y)-[slope*mean(X)]
b=9-(-1.56*8.4)=22.105
We have the slope, m=-1.56 and y-intercept of 22.105
The equation of line is
y=22.105-1.560x
Correct answer: Last statement
Step-by-step explanation:
