Module 6 c.1 p-value for regression coefficient

Module 6 c.1 p-value for regression coefficient -...

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Regress ANOVA t Source Regression Residual Total Regressio variables Intercept BEVTOTAL Predicted BEVTOTAL 26,000 Regressi x Find x To find th The Sim r = r = 1. Decide is signifi Y^ = b 0 + b 0 b 1 Y^ = b 0 + r 2  =  r 2  =  r 2  =  r 2  = 
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-hypothes p-value f P-Value = 2. Determ off the in -With the What we H 0 : H a :
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sion Analysis r² 0.485 n 24 r 0.696 k 1 Std. Error 157.773 Dep. Var. FOODTOT table SS df MS F p-value 515,867.0970 1 515,867.0970 20.72 .0002 547,630.5280 22 24,892.2967 1,063,497.6250 23 ion output confidence interval coefficients std. error t (df=22) p-value 95% lower 95% upper 1,749.2272 185.8265 9.413 3.59E-09 1,363.8465 2,134.6079 0.0326 0.0072 4.552 .0002 0.0178 0.0475 d values for: FOODTOT 95% Confidence Interval 95% Prediction Interval Predicted lower upper lower upper Leverage 2,597.418 2,530.278 2,664.558 2,263.400 2,931.437 0.042 ion Equation: 1,749.2272 tells us how much the natural gas is estimeated to be consumed when the tempe 0.0326 For each additional bevtot 0.0326 Expect an 0 should be substituted with the independent variable. 1,749.260 x he x-intercept assumes x = 0 ple Coefficient of Determination Explained Variation / Total Variation the simple linear regression model, which includes the independent variable explains  48.5% of the variability in  food the simple coefficient of r = 0.696  relationship between  food AND bev e whether or not the independent variable bevtot icantly related to the dependent variable food + b 1 x Our interpretation is that there is a fairly st
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sis testing and simple linear regression output to find and interpret the  for the regression coefficient. .0002 In the p-value for testing H is less than: represents the null hypothesis idea that there is no relations represents that there is a relationship and if so, should use  If the alternative hypothesis is correct then, There is the probability of being incorrect in concluding that there is mine the magnitude of the effect on the dependent variable food ndependent variable bevtot confidence interval and again, we will use the simple linear regression output. 95% Confidence Interval: 95% lower 95% upper 0.0178 0.0475 e know so far: 0.0326 0.0178 0.0475 .10, we have some evidence that H is false and H a is true. .05, we have strong evidence that H is false and H a is true. .01, we have very strong evidence that H is false and H a is true. .001, we have extremely strong evidence that H is false and H a is true Point of Estimate, B 0 0 Point of Estimate B 1 0 -The Point of Estimate B 1 : b 1  = -The 95% confidence interval for B 1  is:
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Dependent food Independent bevtot IS 0.0326 < OR > THAN 1? Increase Increase or Decrease? erature = 0
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This note was uploaded on 02/20/2011 for the course GM 533 taught by Professor Rathinbasu during the Spring '10 term at Keller Graduate School of Management.

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Module 6 c.1 p-value for regression coefficient -...

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