Calculate b1 and b0 What is the sample regression equation N




Calculate b1 and b0. What is the sample regression equation? (Negative values should be indicated by a minus sign. Round intermediate calculations to 4 decimal places and final answers to 2 decimal places.)



Find the predicted value for y if x equals 25, 104 and 226. (Round intermediate coefficient values and final answers to 2 decimal places.)


Consider the following sample data:

Solution

Sol)

The Regression equation is Y=a+bX

From the Excel

From above we hve

b)

intercept bo=-58

Slope=7

Hence predicted Regression is

Y hat= -58+ 7x

c) If x = 25 then Yhat =117

  If x = 104 then Yhat =670

  If x = 226 then Yhat 1524

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.740572
R Square 0.548446
Adjusted R Square 0.473187
Standard Error 51.99038
Observations 8
ANOVA
df SS MS F Significance F
Regression 1 19698 19698 7.287458 0.035598
Residual 6 16218 2703
Total 7 35916
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept -58 56.24576 -1.03119 0.342215 -195.628 79.62842 -195.628 79.62842
X 7 2.593045 2.699529 0.035598 0.655048 13.34495 0.655048 13.34495
 Calculate b1 and b0. What is the sample regression equation? (Negative values should be indicated by a minus sign. Round intermediate calculations to 4 decimal
 Calculate b1 and b0. What is the sample regression equation? (Negative values should be indicated by a minus sign. Round intermediate calculations to 4 decimal

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