The lovely assistant ran a regression to explain the variance in the total numbe
ID: 3315170 • Letter: T
Question
The lovely assistant ran a regression to explain the variance in the total number of points the students scored for all Business Statistics assignments, including the preparation points, the Real World Project points, and the final points. The independent variables he used were: the Online Engagement Indicator from Connect, the previous education (HBO, or trade school = 0, WO, or academic = 1), whether a student came from The Netherlands (0) or abroad (1), and the final score. The R2 from this regression is 0.946. Explain whether this R2 is “high” or “low” and how you could have expected this high or low number in no more than three sentences.
Explanation / Answer
The r2 value can range from 0 to 1 , or from 0 to 100 in percentage terms. Higher the value better the model
The R2 from this regression is 0.946. This means that the regression model is able to explain 94.6% variation in the total number of points the students scored for all Business Statistics assignments, including the preparation points, the Real World Project points, and the final points due to the independent variables the Online Engagement Indicator from Connect, the previous education (HBO, or trade school = 0, WO, or academic = 1), whether a student came from The Netherlands (0) or abroad (1), and the final score.
generally r2 value greater than 0.90 are considered very good
0.7 to 0.89 are considered moderately good and less than 0.6 are poor. It also depends on the field of the study and information on how similar studies have yielded results
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