Worksheet: Linear Correlation

In this worksheet, we will practice dealing with linear correlation and distinguishing between different types of correlation.

Q1:

What type of correlation exists between the two variables in the shown scatter plot?

  • Aa negative linear correlation
  • Ba positive linear correlation
  • Cno correlation

Q2:

What type of correlation does this graph show?

  • Aa positive correlation
  • Ba negative correlation
  • Cno correlation

Q3:

Which of the following correlation coefficients indicates the strongest correlation?

  • A 0 . 8 7
  • B 0 . 1 4
  • C 0 . 3 3
  • D 0 . 8 8

Q4:

Can we use the line of best fit to describe the trend in the data? Why?

  • A No, because the data shows an exponential trend not a linear trend.
  • B Yes, because the data shows a linear trend.

Q5:

The scattergraph shows the average gestation period, measured in days, against the average brain mass of an adult, measured in grams, for 13 species of mammals.

What type of correlation appears to exist between the gestation period and the brain mass?

  • Aa positive linear correlation
  • Ba negative linear correlation

What is the correct interpretation of this relationship?

  • AA greater brain mass leads to a longer gestation period.
  • BIn general, as the gestation period decreases, the brain mass increases.
  • CIn general, as the gestation period increases, the brain mass decreases.
  • DIn general, as the gestation period increases, so too does the brain mass.

Q6:

What type of correlation exists between the two variables in the shown scatterplot?

  • Aa negative linear correlation
  • Bno correlation
  • Ca positive linear correlation

Q7:

The scatterplot shows the high jump and long jump results achieved by 15 competitors in the women’s heptathlon at the 2016 Olympics in Rio de Janeiro.

The correlation coefficient for this dataset is 0.859. What is the correct interpretation of this correlation coefficient?

  • A Being good at the high jump causes a competitor to be better at the long jump.
  • B Being good at the long jump causes a competitor to be better at the high jump.
  • C There is strong negative linear correlation between performance in the high jump and the long jump.
  • D There is strong positive linear correlation between performance in the high jump and the long jump.
  • E There is no correlation or causation between high jump and long jump performance.

Q8:

What type of linear correlation might exist between the mass loaded onto a spring and its extension?

  • Ano correlation
  • Ba negative correlation
  • Ca positive correlation

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