Correlation Coefficient Quiz

5 Questions | Total Attempts: 648

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Correlation Coefficient Quiz


Questions and Answers
  • 1. 
    A hi-fi store kept track of the number of advertisements it placed in local newspapers and the number of stereo systemsit sold each week.Week 1 2 3 4 5 6 7 8Advertisements, x 6 5 3 2 1 4 3 2Stereos Sold, y 20 15 12 8 6 7 9 7i. What is the correlation coefficient for the set of data?ii. What does this correlation coefficient suggest about the effectiveness of the advertisements?
  • 2. 
    A manufacturer of flexible seals for industrial equipment tests samples of its seals at a variety of temperatures andcollects the following data.Temperature (ºC) 16; 5; 9; 12; 7; 10Seal Failures 3; 12; 8; 6; 4; 7a) Construct a scatter plot for these data.b) Identify any outlier(s) and explain your choice(s).c) Calculate the correlation coefficient for this data.
  • 3. 
    A car safety association conducted tests to measure the stopping distances of a new model of car and collected thefollowing measurements.Speed (km/h) 30; 40; 50; 60; 70; 80; 90; 100Stopping Distance (m) 19.2; 22.2; 24.8; 27.1; 29.5; 31.6; 33.2; 35.0a) Construct a scatter plot for these data.b) Identify any outlier(s) and explain your choice(s).c) Calculate the correlation coefficient for this data.
  • 4. 
    The coefficient of determination, r, indicates
    • A. 

      The linear relationship between two variables

    • B. 

      The slope of the line of best fit

    • C. 

      How closely the data fit a defined curve

    • D. 

      The sum of the residuals from each data point

  • 5. 
    Which of the following statements is false?
    • A. 

      The coefficient of determination can have values from –1 to 1.

    • B. 

      The coefficient of determination can be applied to any curve.

    • C. 

      The coefficient of determination can be applied to any straight line.

    • D. 

      The coefficient of determination is the variation in y explained by variation in x, divided by the total variation in y.

    • E. 

      The magnitude of the correlation coefficient determines the strength of the linear relationship

    • F. 

      The sign of the correlation coefficient determines whether the relationship is positive or negative

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