Unit D: Graphing

Practice


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  1. The table shows the change in outside air pressure as an airplane rises after takeoff.

    Altitude (km)
    		Air Pressure (kPa)
    0 101
    1 81
    2 74
    3 63
    4 55
    5 43

    1. Identify the dependent variable and the independent variable.

    2. Draw a scatterplot for the table of values.

    3. Does the scatterplot show positive correlation, negative correlation, or no correlation?

    4. What trend is displayed on the scatterplot?

    5. Draw the line of best fit.

    6. What is the air pressure at an altitude of 2.5 km?

    7. At what altitude will the air pressure be 30 kPa?


  2. Justine is an automotive technician in Red Deer. The table of values shows the fuel consumption for new vehicles of different masses.

    Mass (tonnes)
    		Fuel Consumption (L/100 km)
    0.8 3.8
    1.1 4.2
    1.2 6.0
    1.3 5.1
    1.4 6.2
    1.0
    		4.8
    1.6 8
    1.5 7.0

    1. Identify the dependent variable and the independent variable.

    2. Draw a scatterplot for the table of values.

    3. Does the scatterplot show positive correlation, negative correlation, or no correlation?

    4. What trend is displayed on the scatterplot?

    5. Draw the line of best fit.

    6. What is the mass of a vehicle that has a fuel consumption of 7.5 L/100 km?

    7. What is the fuel consumption of a vehicle with a mass of 0.6 t?
The table shows the change in outside air pressure as an airplane rises after takeoff.

Altitude (km)
Air Pressure (kPa)
0 101
1 81
2 74
3 63
4 55
5 43

  1. Identify the dependent variable and the independent variable.

  2. Draw a scatterplot for the table of values.

  3. Does the scatterplot show positive correlation, negative correlation, or no correlation?

  4. What trend is displayed on the scatterplot?

  5. Draw the line of best fit.

  6. What is the air pressure at an altitude of 2.5 km?

  7. At what altitude will the air pressure be 30 kPa?

  1. Since the air pressure is dependent on the altitude, the dependent variable is the air pressure and the independent variable is the altitude.



  3. The graph shows negative correlation since the points form the shape of a line that falls from left to right.

  4. As the altitude increases, the air pressure decreases.







  6. When the altitude is 2.5 km, the pressure is approximately 70 kPa. This value is determined by using interpolation.




  7. When the air pressure is 30 kPa, the altitude is approximately 6.1 km. This value is determined using extrapolation.
Justine is an automotive technician in Red Deer. The table of values shows the fuel consumption for new vehicles of different masses.

Mass (tonnes)
Fuel Consumption (L/100 km)
0.8 3.8
1.1 4.2
1.2 6.0
1.3 5.1
1.4 6.2
1.0
4.8
1.6 8
1.5 7.0

  1. Identify the dependent variable and the independent variable.

  2. Draw a scatterplot for the table of values.

  3. Does the scatterplot show positive correlation, negative correlation, or no correlation?

  4. What trend is displayed on the scatterplot?

  5. Draw the line of best fit.

  6. What is the mass of a vehicle that has a fuel consumption of 7.5 L/100 km?

  7. What is the fuel consumption of a vehicle with a mass of 0.6 t?

  1. Since the fuel consumption is dependent on the mass of the vehicle, the dependent variable is the fuel consumption and the independent variable is the mass of the vehicle.




  3. The graph shows positive correlation since the points form the shape of a line that rises from left to right.

  4. As the mass of vehicle increases, the fuel consumption increases.







  6. Using interpolation, the mass of a vehicle that has a fuel consumption of 7.5 L/100 km is approximately 1.55 t.




  7. Using extrapolation, a vehicle with a mass of 0.6 t will have a fuel consumption of approximately 2.5 L/100 km.