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A study was conducted to investigate the relationship between the number of hours a student studies…
A study was conducted to investigate the relationship between the number of hours a student studies per week (X) and their scores on a standardized test (Y). The following statistical data was collected from a sample of 50 students:
The correlation coefficient between X and Y is 0.65.
| X | Y | |
|---|---|---|
| Mean | 15 | 75 |
| Standard Deviation (SD) | 4 | 10 |
(a)
Estimate the test score for a student who studies 20 hours per week.
(b)
If the pass mark is 40, then how many hours does a student need to study to pass?
Answer
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From ISC 2025 Practice Mathematics, question 118.