Project #19085 - Statistics 5

Use the data from the worksheet (attached) and the calculations of b1 ( -2.136359683)and b0 (223.4011768)  to replicate the calculations below. (the worksheet should look like this)

Stay

(Column a)

LOS

(Column b)

TC (y)

(Column c)

x-xbar

yx-ybar

 

(Column g)

Yhat

 

(Column h)

Yhat-ybar

(Column I)

y-yhat

(column J)

X

x

X

x

X

B1

$xx

Xx

xx

Xx

X

X

X

X

X

B0

$xx

Xx

Xx

Xx

X

X

X

X

X

 

 

Xxx

Xx

Xx

X

 

X

X

X

SST

X

Xxx

Xxx

Xx

X

Xx

X

X

X

SSR

X

Xx

Xx

Xx

X

 

X

X

X

SSE

X

Xx

Xx

Xx

X

X

X

X

X

 

 

X

Xx

Xx

X

X

X

X

X

R^2

Xx

 

X

X

X

X

X

X

X

 

 

X

X

X

X

X

X

X

X

MSR

Xx

X

X

X

X

X

X

X

X

MSE

Xx

X

X

X

X

X

X

X

X

 

 

X

X

X

Xx

X

X

X

X

F

Xx

X

X

X

X

X

Xx

X

X

p

Xx

X

X

X

X

X

X

X

Xx

 

 

X

X

X

X

X

X

X

X

S.E.

Xx

X

X

X

 

X

x

X

x

S.E.b1

xx

x

x

x

 

a. Calculate the total sums of squares (SST) by using this equation

SST = ∑ (y – ?y)²

 

(use the =sumsq () function on the data in column E)

b. Calculate the predicted values of TC y in column H by using this equation:   

y = b1x + b0

 

c. Calculate the difference between y and y in column I and the value of SSR (sums of squares due to regression) by using this equation:

              !

SSR = ∑ (y - ?y)²

 And the =sumsq ( ) function on the data on column I.

 

d. Calculate the values of y-y in column J and the value of SSE (sums of squares due to error) by using this equation :

                   !

SSE = ∑ (y – y)²

 and the =sumsq ( ) function on the data in column J

e. Calculate the value of R2 by using this equation:

R² = SSR/SST

 

g. Determine the probability of F with the =fidst ( ) function and the appropriate degrees of freedom

h. determine the standard error of regression by using this equation:

 

S. E. reg = SSe / (n-2)

i . Determine the standard error of b1 by using this equation:

S.E.b1 =  S. E.reg  /   ∑ (x - ?x )²                               

 

Please use an excel worksheet.  Please show functions and  equations in excel.  Thanks!

Subject Mathematics
Due By (Pacific Time) 12/08/2013 01:00 pm
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