Question

In: Statistics and Probability

The following sample observations were randomly selected:

The following sample observations were randomly selected:


12345
X:213832
Y:18132249

            
a. Not available in Connect.

b. Determine the regression equation.(Negative answer should be indicated by a minus sign. Do not round intermediate calculations. Round the final answers to 4 decimal places.)   

                                        
b =  a =

Y' =  +  X

           
c. Determine the value of Y' whenX is 11. (Do not round intermediate calculations. Round the final answer to 4 decimal places.)

Solutions

Expert Solution

sr x y (x-xbar)^2 (y-ybar)^2 (x-xbar)*(y-ybar)
1 2 18 20.25 14.0625 -16.875
2 13 13 42.25 1.5625 -8.125
3 8 2 2.25 150.0625 -18.375
4 3 24 12.25 95.0625 -34.125
sum 26 57 77 260.75 -77.5
mean 6.5 14.25 SXX SYY Sxy
slope=sxy/sxx -1.006493506 -52.337662
intercept=ybar-(slope*xbar) 20.79220779 -31.545455

b=slope=-1.0064

a=intercept = 20.7922

y= a+b*x

y'= 20.7922 - 1.0064*x

c)

put x = 11

y'= 20.7922 - 1.0064*x

y'= 20.7922 - 1.0064*11

y'=9.7218


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