Praxis Core Academic Skills for Educators: Mathematics (5733)Statistics and ProbabilityEasy
A student collected data on the number of hours they spent studying for an exam and their corresponding score. The data is as follows: (2 hours, 70 score), (3 hours, 75 score), (4 hours, 80 score), (5 hours, 85 score). If the student studies for 6 hours, based on this linear trend, what would be the predicted score?
- A88
- B92
- C95
- D90
Show answer & explanationAnswer & explanation
Correct answer: D. 90
The data shows a consistent increase of 5 points for every additional hour of studying. Following this linear trend, if studying for 6 hours, the score would increase by 5 points from the 5-hour study score.
Why the other options are wrong
- A. This option does not follow the consistent linear increase observed in the data.
- B. This option suggests a larger increase than observed in the linear trend.
- C. This option suggests an even larger increase, deviating significantly from the observed pattern.
Linear Trend
A linear trend describes a pattern in data where the relationship between two variables can be approximated by a straight line, showing a consistent rate of change.
- Represents a constant rate of increase or decrease.
- Can be used for prediction within the observed range or slightly beyond.
- Often visualized with a scatter plot and a line of best fit.
Memory trick: Line up your points, then project your future score!