Will missing class hurt your grade? The data below compares the # of absences to grade (measured in marks) for 30 students. Use the data to answer the questions below:

Dependent Variable: Grade (Marks) Independent Variable: Absences Grade (Marks) = 89.100971 - 3.1906331 Absences Sample size: 30 R (correlation coefficient) = -0.93164951 R-sq = 0.86797081 Estimate of error standard deviation: 3.2600128

Parameter	Estimate	Std. Err.	Alternative	DF	T-Stat	P-value
Intercept	89.100971	1.1464745	0	28	77.717357	<0.0001
Slope	-3.1906331	0.23516911	0	28	-13.567399	<0.0001

Is there a correlation between Absences and Grade?

a) What would be the appropriate null hypothesis for this scenario? [ Select ] ["There is a correlation between Absences and Grade.", "There is a positive linear relationship between Absences and Grades.", "There is no correlation between Absences and Grade."]

b) What would be the appropriate alternative hypothesis? [ Select ] ["There is a correlation between Absences and Grade.", "There is no correlation between Absences and Grade.", "Absences and Grades are Independent."]

c) Pearson's correlation coefficient (r) tells us that a [ Select ] ["strong", "weak"] [ Select ] ["negative", "positive"] correlation exists between Absences and Grade.

d) The coefficient of determination tells us that about [ Select ] ["87", "99", "93"] % of the variation in [ Select ] ["absences", "grade"] can be explained by the variation in [ Select ] ["absences", "grades"] and [ Select ] ["13", "7", "1"] % is unexplained or due to error.

e) What is the point estimate that would be used in prediction or estimation for 5 absences? Round this value to the nearest whole number. [ Select ] ["73", "89", "105"]

f) Consider the slope of the appropriate regression model. What is the correct interpretation of this slope? [ Select ] ["We can say that for each point increase in grade the attendance goes down by 3 absences.", "We can say that for each point increase in grade the attendance goes down by 89 absences.", "We can say that for each additional absence the grade will drop by about 89 points.", "We can say that for each additional absence the grade will drop by about 3 points."]