By Wilhelm Schumann
This report will briefly examine the relationship between the performance in formative assessments and final grades for a group of 25 students. The students' marks for their formative assessment is taken as the average of two formative assessments (running average) they had to complete during their term/semester. Their final grade for the course/subject is the average of all the assessment for the term/semester. We will examine a scatter plot, correaltion data table, linear regression coefficient table and a linear regression summary table
In this scatter plot we can clearly see by the angle of the trend line and the distribution of the data points that there is a weak/mild positive relationship between the grade and formative assesment grade (running_average). This means that, to a certain degree, a high formative assement grade will could translate to a high final grade, but not always.
In this table the most important thing to note is the correlation coefficient of 0,547. This further confirms the moderate positve relationship between the grade for formative assessment and final grade.
The moderate positive relationship between final grade and the formative assesment grade is further show when we examine the linear regression coefficient table. We see that the coefficient for the predictor variable (final grade) is 0.534. This means that for a one-unit increase in final grade, the expected value of formative assessment grade increases by 0.534 units.
Finally, whe can look at the Adjusted R Squared value to get an idea of how well the indenpendant variable (final grade) explains the variance in the dependant variable (formative grade). A value of 0.269 means that only about 27% of the variance can be explained. This means that the the model is not a great fit for the data.