Grade 8 Scatter Plot: Slope and Outlier Challenges

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

• Each hour studied results in a 5-point decrease in test scores.

• The relationship is positive; each additional hour studied increases test scores by 5 points.

• The relationship is negative; each additional hour studied decreases test scores by 5 points.

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

In a scatter plot of daily temperatures and ice cream sales, one point shows a temperature of 100°F with sales of 500 cones. If most points cluster around 80°F and 200 cones, is this point an outlier? Why or why not?

• Yes, this point is an outlier.

• No, it represents a common trend in sales.

• No, this point is within the normal range.

• Yes, but it is not significantly different from the others.

A scatter plot displays the number of hours worked and the amount of money earned by part-time employees. If the slope of the line is 15, how much money does an employee earn for each additional hour worked?

• 20

• 15

• 10

• 25

In a scatter plot comparing the age of cars and their resale value, a car that is 15 years old is valued at $5000, while most cars of similar age are valued around $2000. Is this car an outlier? Explain your reasoning.

• Yes, this car is an outlier.

• No, this car is valued correctly.

• Yes, this car is undervalued.

• No, this car is typical for its age.

A scatter plot shows the relationship between the number of books read and the average grade of students. If the slope of the line is 0.4, what does this suggest about the impact of reading on grades?

• Reading more books has no effect on average grades.

• There is a negative correlation between reading and grades.

• Reading more books is positively correlated with higher average grades.

• Reading fewer books leads to better grades.

In a scatter plot of the number of hours spent on social media versus grades, a student who spends 10 hours on social media has a grade of 95, while most students with similar social media usage have grades around 70. Is this student an outlier?

• Yes, this student is an outlier.

• No, this student is not an outlier.

• Yes, this student is within the normal range.

• No, this student has a typical grade.

A scatter plot indicates that for every 2 hours of exercise, a person's weight decreases by 1 pound. What is the slope of the line, and what does it represent in this context?

• 1/2

• 2

• -1

• -1/2

• 0

In a scatter plot of the number of pets owned versus happiness level, one point shows a person with 10 pets rating their happiness at 2 out of 10. If most points are clustered around 2-3 pets and happiness levels of 8-10, is this point an outlier? Why?

• No, this point is not an outlier because it fits the trend.

• No, this point is typical for people with many pets.

• Yes, this point is an outlier.

• Yes, this point is an outlier but not due to the number of pets.

A scatter plot shows the relationship between the distance traveled and the cost of gas. If the slope of the line is 0.2, how much does the cost increase for each additional mile traveled?

• 0.2

• 0.1

• 0.5

• 1.0

In a scatter plot comparing the height and weight of students, a student who is 6 feet tall weighs 300 pounds, while most students of similar height weigh around 180 pounds. Is this student an outlier? Provide a justification.

• No, this student is within the normal range.

• Yes, this student is typical for their height.

• Yes, this student is an outlier.

• No, this student weighs less than average for their height.