Statistics: Scatter Plots and Correlation

A scatter plot compares hours studied for a test and test score. The points generally rise from left to right. Describe the direction of the association and explain what it means in context.

A scatter plot compares the age of a used car and its selling price. The points generally fall from left to right and are fairly close to a straight line. Describe the direction and strength of the association.

A data set has correlation coefficient r = 0.92. Describe the strength and direction of the linear relationship.

A data set has correlation coefficient r = -0.18. Describe the strength and direction of the linear relationship.

A scatter plot compares shoe size and math test score for students in a class. The points are spread randomly with no clear upward or downward pattern. What type of association is shown?

A line of best fit for predicting a plant's height in centimeters from days after planting is y = 2.4x + 5. What does the slope mean in context?

A scatter plot of height and arm span for students has one point far away from the rest of the data. What is this point called, and why might it matter?

A scatter plot shows a strong positive association between the number of ice cream cones sold and the number of people wearing sunglasses at a beach. Can you conclude that buying ice cream causes people to wear sunglasses? Explain.

A teacher records the following pairs for hours of practice and free throw percentage: (1, 42), (2, 48), (3, 55), (4, 61), (5, 65). Describe the association in the data.

A scatter plot comparing daily screen time and hours of sleep has a negative association. If a student has more daily screen time than another student, what would the trend predict about their hours of sleep?