# 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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