Question

Alcoholic Drinks and Missed Classes

Is drinking alcohol a possible factor in students missing classes? In Data A.1, we introduce the data in SleepStudy. Two of the variables in that study are Drinks, the number of alcoholic drinks in a week, and ClassesMissed, the number of classes missed during the semester. Computer output is shown for predicting the number of classes missed based on the number of drinks.

Coefficients:
	Estimate	Std. Error	t value	Pr(> |t|)
(Intercept)	1.86444	0.34395	5.421	1.39e-07***
Drinks	0.06196	0.04979	1.244	0.215
Residual standard error: 3.237 on 251 degrees of freedom Multiple R-squared: 0.006131, Adjusted R-squared: 0.002172 F-statistic: 1.548 on 1 and 251 DF, p-value: 0.2145

(a)  Interpret the slope of the regression line in context.

(b)  Identify the t-statistic and the p-value for testing the slope. What is the conclusion, at a 5% level?

(c)  Interpret R² in context.

(d)  Identify the F-statistic and p-value from the ANOVA for regression. What is the conclusion of that test?

Answer 1

Ans a:

Slope=0.06196

ie if amount of drinks moves by 1 units .then the model predicts that missed classes for a student will increase by 0.06196 clases

Ans B:

#t-statistic =1.244

#P-Vlaue=0.215

#Conclusion : P-value >0.05 hence we fail to reject null hypothesis and conclude that there is no linear relationship between independent and dependent variable

Ansc:

R²=0.006131

ie 0.61 % of number of missed class for student of variation is explain by drinks of student

Ans D:

F-statistic =1.548

P-Value=0.2145

P-value>0.05 hence we fail reject Ho at 5 % l.o.s