Question

QUESTION 6 Suppose the correlation coefficient between two variables is found to be -0.94. Which of the following statements are true? there is a strong tendency for small values of one variable to be associated with large values of the other variable there is a weak negative relationship between the variables a scatter plot of the data points would show a clear downward trend there is a strong tendency for low values of one variable to be paired with low values of the other variable there is a strong negative relationship between the variables changes in one variable cause a small change in the other variable a scatter plot of the data points would show no clear trend either upward or downward

Answer 1

The value of correlation coefficient is from -1 to 1.

We will analyze each statement.

Statement 1: True, because it has a negative sign, which shows inverse relation and also the value is close to -1, so it shows a strong inverse, negative relation.

Statement 2: False, there is a negative relation but it is not weak, the value is near to -1, which shows strong negative relation.

Statement 3: True, because the value is negative, shows inverse relation between two variables.

Statement 4: False, it has negative sign, so shows large value of one variable is associated with lower values of another variable.

Statement 5: True, there is a strong negative relation between two variables because the value is negative and near to -1.

Statement 6: False, changes in one variable would cause higher changes in another variable because it is strong negative relation.

Statement 7: False, the scatter chart would show a clear downward trend because of a negative relation between two variables.