Compute the value of b1, Complete the value of b0,Interpret the meaning of b1, F

Question

Compute the value of b1, Complete the value of b0,Interpret the meaning of b1, Find the regression equation.,Compute the Coefficient of determination.Predict the average value of Y for X= 6,Interpret the Coefficient of determination. Show work

Fill in the tabel and answer the above

X

Y

XY

X2

Y2

10.90%

19.00%

10.30%

16.00%

7.30%

7.00%

9.60%

15.00%

11.60%

18.00%

13.00%

25.00%

9.90%

10.00%

10.10%

12.00%

X

Y

XY

X2

Y2

10.90%

19.00%

10.30%

16.00%

7.30%

7.00%

9.60%

15.00%

11.60%

18.00%

13.00%

25.00%

9.90%

10.00%

10.10%

12.00%

Explanation / Answer

Step 1: Find XY and X2 as it was done in the table below.

Step 2: Find the sum of every column:

X=82.7 , Y=122 , XY=1321 , X2=873.93

Step 3: Use the following equations to find a and b:

a=YX2XXY/nX2(X)2=122873.9382.71321/8873.9382.7217.267

b=nXYXY/n.X2(X)2=8132182.7122/8.873.93(82.7)23.146

Step 4: Substitute a and b in regression equation formula

y =a + bx=-17.267+3.146x

Step 1: Find XY , X2 and Y2 as it was done in the table below.

Step 2: Find the sum of every column to get:

X=82.7 , Y=122 , XY=1321 , X2=873.93 , Y2=2084

Step 3: Use the following formula to work out the correlation coefficient.

r= nXYXY/sqrt([nX2(X)2][nY2(Y)2)=0.9176

So r^2=0.8420

For x=6, y=1.609

X Y XY XX 10.90 19.00 207.1 118.81 10.30 16.00 164.8 106.09 7.30 7.00 51.1 53.29 9.60 15.00 144 92.16 11.60 18.00 208.8 134.56 13.00 25.00 325 169 9.90 10.00 99 98.01 10.10 12.00 121.2 102.01

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