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marcucciisabella
05.05.2020 •
Mathematics
If you pay more in tuition to go to a top business school, will it necessarily result in a higher probability of a job offer at graduation? Let yequalspercentage of graduates with job offers and xequalstuition cost; then fit the simple linear model, Upper E (y )equals beta 0 plus beta 1 x, to the data below. Is there sufficient evidence (at alphaequals0.05) of a positive linear relationship between y and x?
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Ответ:
ANSWER
a. the test statistic t = (1.52 )
b. the p-value. p-value.= ( 0.1679 )
c. since p-value=0.1619 is more than the level of significance alpha=0.1 so
Don’t reject H0.Theren is insufficient evidence that there exists a positive linear relationship between y and x.
Step-by-step explanation:
the linear model fitting analysis is given as
here null hypothesis H0:β1=0 and alternative hypotheis H1:β1≠0
Analysis of Variance
SourceDFSum of SquaresMean SquareF ValuePr > F
Model161.52564 61.525642.300.1679
Error8214.07436 26.75930
Corrected 9275.60000
Total
Root MSE 5.17294 R-Square 0.2232
Dependent Mean89.20000 Adj R-Sq 0.1261
Coeff Var 5.79926
Parameter Estimates
Variable DFParameter EstimateStandard Errort ValuePr > |t|
Intercept 1 9.54781 52.55541 0.180.8604
tution 1 0.00208 0.00137 1.520.1679
ANSWER
a. the test statistic t = (1.52 )
b. the p-value. p-value.= ( 0.1679 )
c. since p-value=0.1619 is more than the level of significance alpha=0.1 so
Don’t reject H0.Theren is insufficient evidence that there exists a positive linear relationship between y and x.
Ответ: