Mastering Slope and Scatter Plots in 8th Grade Math

A scatter plot shows the relationship between hours studied and test scores for 10 students. If the line of best fit has a slope of 3, what does this indicate about the relationship between hours studied and test scores?

• There is a positive relationship; more hours studied leads to higher test scores.

• The slope of 3 indicates a negative relationship.

• There is no relationship between hours studied and test scores.

• More hours studied results in lower test scores.

In a scatter plot, the points (2, 4), (3, 7), and (5, 10) are plotted. Calculate the slope of the line of best fit for these points. What does the slope represent in this context?

• 1

• 2

• 3

• 4

A researcher collects data on the number of hours of exercise per week and weight loss in pounds. If the line of best fit has a slope of -2, what does this suggest about the relationship between exercise and weight loss?

• The relationship suggests that increased exercise leads to greater weight loss.

• Increased exercise has no effect on weight loss.

• The slope indicates that weight loss decreases with less exercise.

• More exercise leads to weight gain.

A scatter plot shows the relationship between the age of a car and its resale value. If the line of best fit has a slope of -1500, how much value does the car lose per year on average?

• 1000

• 1500

• 2000

• 500

In a study, the scatter plot shows the relationship between the number of books read and the reading comprehension score. If the line of best fit passes through the points (1, 60) and (5, 80), calculate the slope and interpret its meaning.

• The slope is 2.

• The slope is 5.

• The slope is 15.

• The slope is 10.

A student creates a scatter plot of the temperature in degrees Fahrenheit versus the number of ice cream cones sold. If the line of best fit has a slope of 5, what does this imply about ice cream sales as temperature increases?

• Ice cream sales are unrelated to temperature changes.

• Ice cream sales increase as temperature increases.

• Ice cream sales decrease as temperature increases.

• Ice cream sales remain constant regardless of temperature.

A scatter plot shows the relationship between the number of hours spent on social media and grades in school. If the line of best fit has a slope of -0.5, what does this suggest about the impact of social media on grades?

• Social media negatively impacts grades.

• Social media has a positive correlation with grades.

• Social media improves grades significantly.

• Social media has no effect on grades.

In a scatter plot, the points (1, 2), (2, 3), and (3, 5) are plotted. Calculate the slope of the line of best fit. What does this slope indicate about the trend of the data?

• 3.5

• 1.0

• 2.0

• 1.5

A car rental company analyzes the relationship between the number of days rented and the total cost. If the line of best fit has a slope of 30, what does this mean for customers renting cars?

• Customers will receive a discount of $30 for each extra day rented.

• Customers will pay a flat fee of $30 regardless of the rental duration.

• The total cost decreases by $30 for every additional day rented.

• Customers renting cars will pay an additional $30 for each extra day they rent.

A scatter plot shows the relationship between the number of hours worked and the amount of money earned. If the line of best fit has a slope of 15, how much does a person earn per hour on average?

• 15

• 25

• 20

• 10