Car Weight and Gas Mileage Predictions

What is the relationship between the weight of a car and its gas mileage?

• No relationship

• Negative relationship

• Cyclic relationship

• Positive relationship

What does a strong alignment of points with the line of best fit in a scatter plot indicate?

• A weak relationship

• A strong relationship

• An inverse relationship

• No relationship

Why is it important to ensure a strong relationship before making predictions using the line of best fit?

• To ensure predictions are reliable

• To make predictions faster

• To avoid using complex equations

• To increase the number of predictions

What is the estimated gas mileage range for a car weighing 2500 pounds based on the scatter plot?

• 10 to 20 miles per gallon

• 20 to 35 miles per gallon

• 30 to 45 miles per gallon

• 15 to 25 miles per gallon

Using the line of best fit, what is the more precise gas mileage prediction for a 2500-pound car?

• 25 miles per gallon

• 30 miles per gallon

• 27.8 miles per gallon

• 35 miles per gallon

How can the line of best fit be used to determine the weight of a car if its gas mileage is known?

• By averaging the x and y values

• By using the midpoint of the scatter plot

• By finding the y-value corresponding to the given x-value

• By finding the x-value corresponding to the given y-value

What is the estimated weight range for a car that gets 18 miles per gallon based on the scatter plot?

• 4000 to 5000 pounds

• 1500 to 2500 pounds

• 3000 to 4500 pounds

• 2000 to 3000 pounds

What is the more precise weight prediction for a car that gets 18 miles per gallon using the line of best fit?

• 3200 pounds

• 3500 pounds

• 3667 pounds

• 4000 pounds

What mathematical operation is used to isolate the variable when solving for car weight using the line of best fit equation?

• Division

• Subtraction

• Addition

• Multiplication

What is the final step in solving for the weight of a car using the line of best fit equation?

• Adding the constant

• Multiplying by the slope

• Dividing by the slope

• Subtracting the constant