Analyzing Outliers and Predictions in Scatter Plots

A scatter plot shows the relationship between hours studied and test scores for 10 students. One student studied for 30 hours and scored 95, which is much higher than the others. What is this point called, and how might it affect your analysis of the data?

• Correlation

• Trend

• Average

• Outlier

In a scatter plot of the number of hours spent on exercise versus weight loss, most points cluster around a line suggesting a positive correlation. If a new data point shows a person who exercised 10 hours but lost no weight, what can you conclude about this outlier?

• The data point indicates that exercise has no effect on weight loss.

• The data point suggests that weight loss is solely dependent on diet.

• The data point shows that all individuals will lose weight with enough exercise.

• The data point is an outlier that suggests other factors may affect weight loss.

A scatter plot displays the relationship between the amount of rainfall and the number of flowers blooming in a garden. If the data shows that after 5 inches of rain, the number of flowers suddenly drops, what might this indicate about the relationship?

• Flowers thrive best in dry conditions.

• Rainfall has no effect on flower blooming.

• More flowers bloom with increased rainfall.

• Excessive rainfall may harm flower blooming.

You have a scatter plot showing the relationship between the age of a car and its resale value. If a car that is 15 years old is priced significantly higher than others of the same age, what should you consider when analyzing this data point?

• The car's previous ownership history.

• The car's condition and unique features.

• The car's color and brand reputation.

• The car's mileage and fuel efficiency.

A scatter plot indicates that as the temperature increases, the number of ice creams sold also increases. If a sudden drop in sales occurs on a hot day, what could be a possible explanation for this outlier?

• Ice cream sales are always consistent regardless of temperature.

• People prefer to buy ice cream on cooler days.

• The ice cream shop ran out of stock due to high demand.

• Local events or supply issues could explain the drop in sales.

In a scatter plot comparing the number of books read and the grades of students, a student who read 50 books but received a low grade stands out. How would you interpret this outlier in the context of the data?

• The student likely had a perfect grade despite reading few books.

• Reading many books guarantees high grades for all students.

• The student read too many books and lost focus on their studies.

• The student may have read many books but struggled with applying knowledge or faced other challenges affecting their grades.

A scatter plot shows the relationship between the distance traveled and the cost of gas. If one point shows a car that traveled 100 miles but had an unusually high gas cost, what does this suggest about that data point?

• The car traveled 100 miles without using any gas.

• The car may be less fuel-efficient or gas prices were unusually high.

• The gas cost was the same regardless of distance traveled.

• The car was electric and did not use gas at all.

You analyze a scatter plot of the number of hours spent on social media versus academic performance. If a student spends 20 hours on social media and has the highest grades, what prediction can you make about the relationship between these two variables?

• There may be no negative relationship between hours on social media and academic performance.

• Students who spend less time on social media tend to have the highest grades.

• There is a direct positive correlation between social media use and academic performance.

• Spending more time on social media always leads to lower grades.

A scatter plot illustrates the correlation between the number of hours worked and monthly income. If one worker puts in 80 hours but earns significantly less than others, what should you consider when evaluating this data point?

• Income is solely determined by the company size.

• Consider the worker's job type, pay structure, and individual circumstances.

• All workers should earn the same amount regardless of hours.

• The number of hours worked is the only factor to consider.

In a scatter plot showing the relationship between study time and grades, if most students show a positive trend but one student has a very low grade despite studying a lot, what could this indicate about the effectiveness of study time?

• Study time is the only factor influencing grades for all students.

• The student likely did not study enough despite their claims.

• Study time may not be effective for all students due to varying study methods or external factors.

• All students benefit equally from study time regardless of their methods.