Computer output for fitting a simple linear model is given below. State the value of the sample slope for the given model. In testing if the slope in the population is different from zero, identify the p-value and use it (and a 5 % significance level) to make a clear conclusion about the effectiveness of the model. The regression equation is Y = 89.2- 6.74X. Predictor Coef SE Coef T Constant 89.233 4.527 19.71 0.000 -6.7437 0.7869 -8.57 0.000 Sample slope: i p-value: Is the model effective?

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Computer output for fittinga simple linear model is given below. State the value of the sample slope for the given model. In testing if
the slope in the population is different from zero, identify the p-value and use it (and a 5 % significance level) to make a clear
conclusion about the effectiveness of the model.
The regression equation is Y = 89.2 6.74X.
Predictor Coef
SE Coef T
P.
Constant
89.233
4.527 19.71 0.000
-6.7437 0.7869 -8.57 0.000
డ్
Sample slope: i
p-value: i
Is the model effective?
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Transcribed Image Text:Computer output for fittinga simple linear model is given below. State the value of the sample slope for the given model. In testing if the slope in the population is different from zero, identify the p-value and use it (and a 5 % significance level) to make a clear conclusion about the effectiveness of the model. The regression equation is Y = 89.2 6.74X. Predictor Coef SE Coef T P. Constant 89.233 4.527 19.71 0.000 -6.7437 0.7869 -8.57 0.000 డ్ Sample slope: i p-value: i Is the model effective? eTextbook and Media Hint Submit Answer Attempts: 0 of 3 used Save for Later 59 F Cloudy
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Solution:

The estimated regression equation is 

Y^= 89.2-6.74 X

β1^= -6.7437   Slope  of the regression equation S.E(β1^)= 0.7869  Standard error of the slope α= 0.05  Level of significance 

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