The statement (A) The correlation coefficient is close to zero is false because the temperature is strongly correlated to the volume of ice cubes option (A) is correct.
What is correlation?
It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]
The question is incomplete:
The complete question is:
The graph shows the volume of ice cubes versus temperature in degrees Celsius. Which of the statements is false?
- A. The correlation coefficient is close to zero.
- B. Temperature is strongly correlated to the volume of ice cubes.
- C. Temperature is the explanatory variable.
- D. The data show a negative linear relationship.
It is given that:
The graph shows the volume of ice cubes versus temperature in degrees celsius.
As we know, if the correlation coefficient is positive then both variables are directly proportional.
If the correlation coefficient is positive then both variables are indirectly proportional.
From the graph, we can see the slope of the line is negative, and the temperature is strongly correlated to the volume of ice cubes.
Temperature is the explanatory(independent) variable.
Thus, the statement (A) The correlation coefficient is close to zero is false because the temperature is strongly correlated to the volume of ice cubes option (A) is correct.
Learn more about the correlation here:
brainly.com/question/11705632
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