A statistics teacher collects data from students and finds that the correlation between test scores and homework scores is 0.98. Which of the following is
an incorrect conclusion about the relationship between test scores and homework scores?
There is a strong relationship between homework scores and test scores.
O As homework scores increase, test scores tend to increase.
O There is a positive relationship between homework scores and test scores.
O An increase in homework scores causes test scores to increase.

Respuesta :

fichoh

The correlation Coefficient is a metric which could be used to evaluate the strength and nature of association between two variables. However, since correlation does not imply causation, then the statement ; An increase in homework scores causes test scores to increase is incorrect.

  • Correlation does not infer that a change in one variable caused by the change experienced by the other. Hence, the option D is incorrect based on inference made from the correlation Coefficient.

  • Positive and negative values of correlation coefficient, implies a positive and negative relationship respectively.

  • The closer the value of correlation coefficient is to 1 or - 1 ; the greater the strength of their association.

  • Hence, a value of 0.98 implies a strong, positive relationship between homework and test scores.

  • Positive relationship means that an increase in one variable tend to signify an increase in the other

Therefore, the option D is incorrect.

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