Studying for Exams a Philosophy Professor Has Found a Correlation

question 136

Essay

Studying for exams A philosophy professor has found a correlation of 0.80 between the
number of hours students study for his exams and their exam performance. During the
time he collected the data, students studied an average of 10 hours with a standard
deviation of 2.5 hours, and scored an average of 80 points with a standard deviation of 7.5
points.
a. Create a linear model to estimate the number of points a student will score on the next
exam from the number of hours the student studies.
b. If a student studies for 15 hours, what score should the student expect on the next exam?
Show your work.

---

Definitions:

Systems Theorist

A scholar who studies how different parts of a system interact with each other to constitute the whole system’s behaviours and properties.

Deviation-Amplifying Feedback

A process in a system wherein the output of one cycle of operations is increased in the next, leading to growth or change in the system.

Dot-Com Bust

The collapse of numerous internet-based companies in the early 2000s following speculative investment in the technology sector.

Financial Meltdown

A sudden and severe downturn in the financial markets that leads to a loss of asset values and can trigger widespread economic crisis.