Interpreting Scatterplots: Best Fit Lines and Relationships

A scatterplot shows the relationship between hours studied and test scores for 10 students. If the line of best fit has a slope of 5, what does this indicate about the relationship between study time and test scores?

• More hours studied leads to lower test scores.

• The slope indicates no relationship between study time and test scores.

• Studying more hours decreases test scores.

• The relationship indicates that more hours studied leads to higher test scores.

In a scatterplot of temperature versus ice cream sales, the line of best fit is upward sloping. What can you infer about the relationship between temperature and ice cream sales?

• There is no relationship between temperature and ice cream sales.

• There is a positive relationship between temperature and ice cream sales.

• Ice cream sales are unaffected by temperature changes.

• Ice cream sales decrease as temperature increases.

A scatterplot shows the number of hours spent on social media versus grades in school. If the line of best fit is downward sloping, what does this suggest about the impact of social media on grades?

• Social media has no effect on grades.

• Social media negatively impacts grades.

• Social media improves grades significantly.

• Social media only affects younger students' grades.

You have a scatterplot that represents the distance traveled by a car over time. If the line of best fit is nearly horizontal, what does this tell you about the car's speed?

• The car's speed is increasing rapidly.

• The car is accelerating over time.

• The car's speed is low or nearly zero.

• The car is moving at a constant high speed.

A scatterplot displays the relationship between the number of books read and the average reading score of students. If the line of best fit shows a positive correlation, what can you conclude about reading habits and scores?

• Reading more books has no effect on scores.

• Students who read fewer books have higher scores.

• There is no correlation between reading habits and scores.

• Students who read more books tend to have higher average reading scores.

In a scatterplot comparing the age of cars and their resale value, the line of best fit slopes downward. What does this indicate about the value of cars as they age?

• Older cars have a higher resale value than newer cars.

• The value of cars decreases as they age.

• The value of cars increases as they age.

• The value of cars remains constant regardless of age.

A scatterplot shows the relationship between the amount of rainfall and the growth of plants. If the line of best fit is steep, what does this suggest about the effect of rainfall on plant growth?

• A steep line of best fit suggests that increased rainfall significantly enhances plant growth.

• A steep line of best fit suggests that less rainfall is better for plant growth.

• A steep line of best fit means that plant growth decreases with increased rainfall.

• A steep line of best fit indicates that rainfall has no effect on plant growth.

You analyze a scatterplot of daily exercise hours versus body weight. If the line of best fit is downward sloping, what does this imply about exercise and body weight?

• There is no relationship between exercise and body weight.

• Increased exercise leads to higher body weight.

• Increased exercise is associated with lower body weight.

• Lower exercise is associated with lower body weight.

A scatterplot illustrates the relationship between the number of hours worked and monthly income. If the line of best fit is steep, what does this indicate about the relationship between hours worked and income?

• A steep line of best fit suggests that more hours worked leads to less income.

• A steep line of best fit shows a weak negative relationship between hours worked and income.

• A steep line of best fit indicates a strong positive relationship between hours worked and income.

• A steep line of best fit indicates no relationship between hours worked and income.

In a scatterplot of study time versus exam scores, the line of best fit is nearly vertical. What does this suggest about the variability of exam scores with respect to study time?

• Exam scores increase significantly with more study time.

• Study time has no effect on exam scores.

• There is high variability in exam scores with respect to study time.

• There is low variability in exam scores with respect to study time.