The regression equation is Y = 26.8 + 1.48x Predictor Coeff SE Coeff T P Constan

Question

The regression equation is Y = 26.8 + 1.48x Predictor Coeff SE Coeff T P Constant 26.753 2.373 ? ? X 1.4756 0.1063 ? ? S = 2.70040 R-sq = 93.7% R-sq (adj) = 93.2% Analysis of Variance Source DF SS MS F P Regression 1 ? ? ? ? Residual Error ? 94.8 7.3 Total 15 1500 a. Fill in the missing information. You may use bounds for the P-values. b. Can you conclude that the model defines a useful linear relationship? c. What is your estimate of

The regression equation is Y = 26.8 + 1.48x Predictor Constant Coeff SE Coeff 26.7532.373 1.4756 0.1063 S = 2.70040 R-sq = 93.7% R-sq (adj) = 93.2% Analysis of Variance Source Regression Residual Error Total DF MS 2 94.8 1500 7.3 15 a. Fill in the missing information. You may use bounds for the P-values b. Can you conclude that the model defines a useful linear relationship? c. What is your estimate of

Explanation / Answer

From F table p<0.05

Model is significant

model defines a useful linear relationship.

R sq=93.7%

93.7% varaition in y is explained by model.

Good model

Coeff SE coeff T P Constant 26.753 2.373 11.27 <0.00001 X 1.4756 0.1063 13.88 <0.00001 source DF SS MS F p Regression 1 1405.2 =1405.2/1=1405.2 192.4932 <0.00001 Residual Error 14 94.8 7.3 total 15 1500

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