Problem-Solving and Data Analysis: Two-Variable Data-Models and Scatterplots — Quiz 2

Questions in this quiz (8)

1. The scatterplot shows the relationship between two variables, $$x$$ and $$y$$. A line of best fit is also shown. Which of the following equations best represents the line of best fit shown?

   • $$y=13.5+0.8x$$
   • $$y=13.5-0.8x$$
   • $$y=-13.5+0.8x$$
   • $$y=-13.5-0.8x$$

2. Twelve data points are shown in the scatterplot. A line of best fit for the data is also shown. At $$x=1{,}200$$, which of the following is closest to the $$y$$-value predicted by the line of best fit?

   • $$16$$
   • $$14$$
   • $$11$$
   • $$6$$

3. Theresa ran on a treadmill for thirty minutes, and her time and speed are shown on the graph. According to the graph, which of the following statements is NOT true concerning Theresa's run?

   • $$\mathrm{Theresa\ ran\ at\ a\ constant\ speed\ for\ five\ minutes.}$$
   • $$\mathrm{Theresa's\ speed\ was\ increasing\ for\ a\ longer\ period\ of\ time\ than\ it\ was\ decreasing.}$$
   • $$\mathrm{Theresa's\ speed\ decreased\ at\ a\ constant\ rate\ during\ the\ last\ five\ minutes.}$$
   • $$\mathrm{Theresa's\ speed\ reached\ its\ maximum\ during\ the\ last\ ten\ minutes.}$$

4. Each dot in the scatterplot represents the temperature and the number of people who visited a beach in Lagos, Nigeria, on one of eleven different days. The line of best fit for the data is also shown. According to the line of best fit, what is the number of people, rounded to the nearest $$10$$, predicted to visit this beach on a day with an average temperature of $$32^\circ C$$?

   • 470

5. The graph shows the relationship between the speed of a particular car, in miles per hour, and its corresponding braking distance, in feet. Approximately how many feet greater will the car's braking distance be when the car is traveling at $$50$$ miles per hour than when the car is traveling at $$30$$ miles per hour?

   • $$75$$
   • $$125$$
   • $$175$$
   • $$250$$

6. An orchard owner recorded the weight, in pounds, of all nectarines that grew on a dwarf nectarine tree during each growing season after the tree's transplantation. The scatterplot shows this weight, in pounds, for each growing season after the tree's transplantation. What was the weight, to the nearest pound, of all nectarines that grew on the tree during the $$4$$th growing season after the tree's transplantation?

   • 40

7. The scatterplot shows the relationship between $$x$$ and $$y$$. A line of best fit is also shown. Which of the following is closest to the slope of the line of best fit shown?

   • $$-2.27$$
   • $$-0.44$$
   • $$0.44$$
   • $$2.27$$

8. The table shows selected values from function $$g$$. $$x$$ | $$g(x)$$ $$0$$ | $$5$$ $$1$$ | $$8$$ $$2$$ | $$11$$ $$3$$ | $$14$$ Which of the following is the best description of function $$g$$?

   • $$\mathrm{Decreasing\ linear}$$
   • $$\mathrm{Increasing\ linear}$$
   • $$\mathrm{Decreasing\ exponential}$$
   • $$\mathrm{Increasing\ exponential}$$