assignment_returnWorksheet:
Analyzing Linear Scatter Plots
Standard(s): 8.SP.A.3
The figure below shows a scatter plot relating the length of a bean plant, in centimeters, to the number of days since it was planted. The slope of the associated line is 2. Which of the following correctly interprets the slope?
The bean plant grows approximately 1 cm every 2 days.
The bean plant grows approximately 2 cm each day.
The bean plant was 2 cm long when it was planted.
The bean plant approximately doubles in length each day.
Standard: 8.SP.A.3
Domain: Statistics & Probability
Theme: Investigate patterns of association in bivariate data
Description: Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.
The figure below shows a scatter plot relating the cost of a ride in a taxicab, in dollars, to the number of miles traveled. The slope of the associated line is 0.5. Which of the following correctly interprets the slope?
For each additional mile traveled, the cost of the ride increases by 50 cents.
For each additional half of a mile traveled, the cost of the ride increases by 1 dollar.
The initial cost of the ride, before the taxi has traveled any distance, is 50 cents.
The first half of a mile does not cost anything.
Standard: 8.SP.A.3
Domain: Statistics & Probability
Theme: Investigate patterns of association in bivariate data
Description: Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.
The figure below shows a scatter plot relating the temperature in a school’s parking lot, in degrees Fahrenheit, to the number of hours past noon. The slope of the associated line is -3. Which of the following correctly interprets the slope?
The temperature at noon was -3 degrees Fahrenheit.
The temperature decreased until it reached -3 degrees Fahrenheit.
The temperature decreased an average of 1 degree Fahrenheit every 3 hours.
The temperature decreased an average of 3 degrees Fahrenheit per hour.
Standard: 8.SP.A.3
Domain: Statistics & Probability
Theme: Investigate patterns of association in bivariate data
Description: Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.
Some students performed an experiment in which they dropped a ball from a certain height (which they called the “drop height”) and then measured the height the ball reached on its first bounce (which they called the “bounce height”). The students measured the heights in centimeters. The figure below shows a scatter plot of their results. The slope of the associated line is 0.7. Which of the following correctly interprets the slope?
The drop height is 70% of the bounce height.
The drop height is 7% of the bounce height.
The bounce height is 70% of the drop height.
The bounce height is 7 % of the drop height.