Interpreting Slope and Y-Intercept from Scatter Plots

The video tutorial explains how to interpret the slope and intercept of a linear model. It provides examples using scatter plots to demonstrate how changes in one variable affect another. The tutorial covers various scenarios, such as farmworkers' data, calories burned during exercise, fuel efficiency, and test scores. It also introduces new examples involving wrinkles and age, and TV hours and test scores, to further illustrate the concepts. The video concludes with a review of the calories burned example.

What is the general sentence structure used to interpret the slope of a linear model?

• As the Y variable increases or decreases, the X variable changes by a certain amount.

• As the X variable increases or decreases, the Y variable changes by a certain amount.

• The Y variable is always constant while the X variable changes.

• The X variable is always constant while the Y variable changes.

In the farmworkers example, what does the slope of -13/37 indicate?

• For every 13 years, the percent decreased by 37.

• For every 13 years, the percent increased by 37.

• For every 37 years, the percent increased by 13.

• For every 37 years, the percent decreased by 13.

How is the slope interpreted in the calories burned example?

• For every 95 minutes, 95 calories are burned.

• For every 23 minutes, 95 calories are burned.

• For every 95 minutes, 23 calories are burned.

• For every 23 minutes, 23 calories are burned.

What does the y-intercept represent in a linear model?

• The value of the Y variable when the X variable is zero.

• The value of the X variable when the Y variable is zero.

• The value of the Y variable when the X variable is at its maximum.

• The value of the X variable when the Y variable is at its maximum.

In the fuel efficiency example, why does the y-intercept not make practical sense?

• Because the x-intercept is always positive.

• Because a car cannot weigh zero pounds.

• Because the y-intercept is always negative.

• Because fuel efficiency cannot be measured.

What does the slope of 7/9 indicate in the age and wrinkles example?

• For every 9 years, you get 7 wrinkles.

• For every 1 year, you get 0.7 wrinkles.

• For every 1 year, you get 7 wrinkles.

• For every 7 years, you get 9 wrinkles.

What is the y-intercept in the age and wrinkles example?

• 0 wrinkles at age 13.

• 13 wrinkles at age 13.

• 13 wrinkles at age 0.

• 0 wrinkles at age 0.

In the TV hours and test scores example, what does the slope of -4.16 indicate?

• For every hour of TV watched, test scores increase by 4.16.

• For every hour of TV watched, test scores decrease by 4.16.

• For every 4.16 hours of TV watched, test scores decrease by 1.

• For every 4.16 hours of TV watched, test scores increase by 1.

What does the y-intercept of 97 indicate in the TV hours and test scores example?

• If 97 hours of TV are watched, the test score is zero.

• If 97 hours of TV are watched, the test score is 97.

• If no TV is watched, the test score is 97.

• If no TV is watched, the test score is zero.

In the calories burned example, what does the y-intercept of 5 indicate?

• You burn 5 calories after 5 minutes of exercise.

• You burn 5 calories before starting exercise.

• You burn 5 calories for every minute of exercise.

• You burn 5 calories for every 5 minutes of exercise.