Problem-Solving and Data Analysis: Two-Variable Data-Models and Scatterplots — Quiz 1

Questions in this quiz (10)

1. The scatterplot shows the high temperature on a certain day and the elevation of $$8$$ different locations in the Lake Tahoe Basin. A line of best fit for the data is also shown. What temperature is predicted by the line of best fit for a location in the Lake Tahoe Basin with an elevation of $$8{,}500$$ feet?

   • $$43^\circ F$$
   • $$37^\circ F$$
   • $$39^\circ F$$
   • $$41^\circ F$$

2. The line graph shows the probability of snow, as a percent, at a certain location for each day during a four-day period. According to the line graph, for which day during this four-day period is the probability of snow $$30\%$$?

   • $$\mathrm{Tuesday}$$
   • $$\mathrm{Wednesday}$$
   • $$\mathrm{Thursday}$$
   • $$\mathrm{Friday}$$

3. The line graph shows the percent of cars for sale at a used car lot on a given day by model year. For what model year is the percent of cars for sale the smallest?

   • $$2012$$
   • $$2013$$
   • $$2014$$
   • $$2015$$

4. The scatterplot shows the temperature, in degrees Fahrenheit, and the distance above sea level, in feet, measured at $$6$$ locations on Mount Jefferson. A line of best fit is also shown. At a distance of $$4{,}000$$ feet above sea level, what is the temperature, in $$^\circ F$$, predicted by the line of best fit?

   • $$47$$
   • $$35$$
   • $$25$$
   • $$0$$

5. In an experiment, a heated cup of coffee is removed from a heat source, and the cup of coffee is then left in a room that is kept at a constant temperature. The graph shows the temperature, in degrees Fahrenheit, of the coffee immediately after being removed from the heat source and at $$10$$-minute intervals thereafter. During which of the following $$10$$-minute intervals does the temperature of the coffee decrease at the greatest average rate?

   • $$\mathrm{Between\ 0\ and\ 10\ minutes}$$
   • $$\mathrm{Between\ 30\ and\ 40\ minutes}$$
   • $$\mathrm{Between\ 50\ and\ 60\ minutes}$$
   • $$\mathrm{Between\ 90\ and\ 100\ minutes}$$

6. A student recorded the number of hours studied and the test score earned for several tests:Which of the following best describes the relationship between hours studied and test score?

   • $$\mathrm{Negative\ association}$$
   • $$\mathrm{No\ association}$$
   • $$\mathrm{Positive\ association}$$
   • $$\mathrm{Nonlinear\ association}$$

7. A scatterplot shows the number of minutes spent exercising and the number of calories burned. As the minutes increase, the calories burned also increase. Which statement best describes this relationship?

   • $$\mathrm{There\ is\ a\ negative\ linear\ relationship}$$
   • $$\mathrm{There\ is\ a\ positive\ linear\ relationship}$$
   • $$\mathrm{There\ is\ no\ relationship}$$
   • $$\mathrm{The\ relationship\ is\ random}$$

8. A line of best fit for a set of data is given by the equation $$y=5x+40$$, where $$x$$ is the number of hours worked and $$y$$ is the amount earned in dollars. According to the model, how much is earned for $$6$$ hours of work?

   • $$45$$
   • $$70$$
   • $$75$$
   • $$80$$

9. A scatterplot shows a downward trend between the number of absences and a student's final grade. Which of the following is the most reasonable interpretation?

   • $$\mathrm{More\ absences\ are\ associated\ with\ higher\ grades}$$
   • $$\mathrm{More\ absences\ are\ associated\ with\ lower\ grades}$$
   • $$\mathrm{Absences\ have\ no\ effect\ on\ grades}$$
   • $$\mathrm{Grades\ cause\ absences}$$

10. A model predicts that a plant grows according to the equation $$h=2x+5$$, where $$h$$ is the height in centimeters and $$x$$ is the number of days. What is the predicted height after $$4$$ days?

    • $$9$$
    • $$11$$
    • $$13$$
    • $$15$$