In this worksheet, we will practice recognizing patterns in graphs of experimental data and interpret them to understand how quantities are related.

**Q2: **

What is the value of the gradient of the line of best fit for the points plotted on the graph shown?

**Q3: **

What is the value of the gradient of the line of best fit for the points plotted on the graph shown?

**Q4: **

A set of points is plotted on a graph, and a line of best fit is drawn for the points.

What is the value of the -axis intercept for the line of best fit?

What is the value of the x-axis intercept for the line of best fit?

**Q5: **

What is the value of the -axis intercept for the graph shown?

**Q6: **

Water flowed from a water-filled tank into an empty tank, as shown in the diagram. The volume of water that flowed into the initially empty tank at different times after the flow had started was plotted on a graph. Which of the lines of best fit shown, (a), (b), (c), and (d), most correctly shows how the volume of water that had flowed relates to the time that the water had flowed for?

- A(b)
- B(a)
- C(d)
- D(c)

**Q7: **

A graph is plotted of the values of an independent variable and a dependent variable. Which of the lines of best fit shown, (a), (b), (c), and (d), most correctly shows how the dependent variable relates to the independent variable?

- A(c)
- B(a)
- C(d)
- D(b)

**Q8: **

Several measurements are made of the variables and . The results are plotted in a graph. How are the variables correlated?

- ANegatively correlated
- BPositively correlated
- CUncorrelated

**Q9: **

Several measurements are made of the variables and . The results are plotted in a graph. How are the variables correlated?

- AUncorrelated
- BNegatively correlated
- CPositively correlated

**Q10: **

Several measurements are made of the variables and . The results are plotted in a graph. How are the variables correlated?

- AUncorrelated
- BPositively correlated
- CNegatively correlated

**Q11: **

Several measurements are made at a point on a city street. The temperature and the sound level are measured several times throughout a six-hour period, and the results are shown in a graph. Which of the following statements most correctly describes how the sound and temperature levels relate to each other?

- AAn increase in the temperature level causes an increase in the sound level.
- BAn increase in the sound level causes an increase in the temperature level.
- CThe sound level and temperature level are correlated negatively with each other.
- DThe sound level and temperature level are correlated positively with each other.

**Q12: **

In the graph, how does the value of the dependent variable change when the value of the independent variable increases?

- AThe value of the dependent variable remains constant.
- BThe value of the dependent variable increases.
- CThe value of the dependent variable changes unpredictably.
- DThe value of the dependent variable decreases.

**Q13: **

In the graph, how does the value of the dependent variable change when the value of the independent variable increases?

- AThe value of the dependent variable remains constant.
- BThe value of the dependent variable decreases.
- CThe value of the dependent variable changes unpredictably.
- DThe value of the dependent variable increases.

**Q14: **

In the graph, how does the magnitude of the value of the dependent variable change when the value of the independent variable increases?

- AThe magnitude of the value of the dependent variable remains constant.
- BThe magnitude of the value of the dependent variable increases.
- CThe magnitude of the value of the dependent variable changes unpredictably.
- DThe magnitude of the value of the dependent variable decreases.

**Q15: **

In the graph, how does the value of the dependent variable change when the value of the independent variable increases?

- AThe value of the dependent variable decreases.
- BThe value of the dependent variable increases.
- CThe value of the dependent variable remains constant.
- DThe value of the dependent variable changes unpredictably.

**Q16: **

- AThe value of the dependent variable decreases.
- BThe value of the dependent variable increases.
- CThe value of the dependent variable changes unpredictably.
- DThe value of the dependent variable remains constant.

**Q17: **

- AThe value of the dependent variable remains constant.
- BThe value of the dependent variable increases.
- CThe value of the dependent variable changes unpredictably.
- DThe value of the dependent variable decreases.

**Q18: **

- AThe value of the dependent variable remains constant.
- BThe value of the dependent variable decreases.
- CThe value of the dependent variable changes unpredictably.
- DThe value of the dependent variable increases.