Relationship Between Study Hours And GPA Coursework Example

Name
Instructor
Course
Date
Math119
What two variables are you comparing?
GPA and Study hours
Descriptive statistics
Categorical v. Categorical: contingency table

Categorical v. Quantitative: summary stats on quantitative variable (group by categorical)

Quantitative v. Quantitative: correlation coefficient

Coefficient -0.2773
No, there is no defined relationship between the GPA and study hours. The negative correlation coefficient indicates these variables are indirectly proportional, signaling the irregular relationship between the variables (Anderson et al. 3).
Categorical v. Categorical: split or stacked bar plots

Categorical v. Quantitative: boxplots by groups

Quantitative v. Quantitative: scatterplot

There is no clearly defined relationship between the variables. Data points are scattered all over making it hard to determine there is a relationship between the GPA and study hours. There are no obvious descriptive statistics (Anderson et al. 7).
Categorical v. Categorical: Chi-Square Test for Independence (on contingency table)

Categorical v. Quantitative: One-way ANOVA
Quantitative v. Quantitative: Correlation with hypothesis test AND linear regression
If you were comparing two quantitative variables, this is an extra upload space for your results. Everyone else can leave this blank.
Hypotheses being tested in the test above.
The hypotheses being tested was whether there is a relationship between study hours to the level of GPA that one achieves. The null hypothesis is that there is a relationship between GPA and Study hours.

The alternative hypothesis states there is no relationship between GPA and study hours.
P-value and Statistical decision
The p-value for the hypothesis test was 6.1083 (see the ANOVA table). At 10% significance level, the statistical decision is to reject the null hypothesis. This is because the chi-square test outcome is greater than 10% which is greater than the level of significance. Also, resulting p-value is higher than is greater than 0.1.
Conclusion
There is no relationship between study hours and GPA

Work Cited
Anderson, Theodore Wilbur, An introduction to multivariate statistical analysis. Vol. 2. New York: Wiley, 1958.