The table shows the fat content and calories for the burgers
at a fast food chain.
Fat (g) 25 44 63 32 37 20 11 52
Calories 590 830 1080 680 750 420 310 820
How strong is the correlation between fat content (g) and calories? State what you need to calculate to determine the correlation and interpret the results.
To determine the correlation between the fat content (g) and calories, you need to calculate the correlation coefficient.
The correlation coefficient is a statistical measure that ranges from -1 to 1 and represents the strength and direction of the linear relationship between two variables.
If the correlation coefficient is close to 1, it indicates a strong positive linear relationship, meaning that as one variable increases, the other variable also tends to increase.
If the correlation coefficient is close to -1, it indicates a strong negative linear relationship, meaning that as one variable increases, the other variable tends to decrease.
If the correlation coefficient is close to 0, it indicates a weak or no linear relationship between the variables.
By calculating the correlation coefficient between the fat content (g) and calories, you can determine the strength and direction of their relationship.