what is the equation of the line of best fit for the following data (4,3) (6,4) (8,9) (11,12) (13,17)

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 Last statement

Step-by-step explanation:

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.