Correlation Types & Coefficients: Real-Life Applications

A study shows that as the temperature increases, ice cream sales also increase. What type of correlation is this?

• Negative correlation

• No correlation

• Inverse correlation

• Positive correlation

In a survey, students reported that the more hours they study, the higher their grades tend to be. Identify the correlation type present in this scenario.

• Negative correlation

• Inverse correlation

• No correlation

• Positive correlation

A researcher finds that the number of hours spent on social media is negatively correlated with students' grades. What does this imply about the relationship?

• Students who spend more hours on social media tend to have lower grades.

• Students' grades improve with increased social media activity.

• There is no relationship between social media use and students' grades.

• Students who spend more hours on social media tend to have higher grades.

Calculate the correlation coefficient for the following data set: Hours studied (2, 3, 5, 7) and Test scores (60, 70, 80, 90).

• 0

• 0.5

• 1

• -1

If the correlation coefficient between two variables is -0.85, what does this indicate about their relationship?

• There is a strong negative correlation between the two variables.

• There is a moderate positive correlation between the two variables.

• The variables are independent of each other.

• There is a weak positive correlation between the two variables.

A car dealership notices that as the price of cars increases, the number of cars sold decreases. What type of correlation is this?

• Negative correlation

• Positive correlation

• Perfect correlation

• No correlation

In a science experiment, the height of plants is measured against the amount of water they receive. If the correlation coefficient is 0.95, what does this suggest?

• The plants' height decreases with more water.

• There is no relationship between water and plant height.

• The plants' height remains constant regardless of water amount.

• The plants' height strongly increases with more water.

A school tracks the relationship between attendance rates and student performance. If they find a correlation coefficient of 0.65, what can they conclude?

• The correlation coefficient indicates a perfect relationship between attendance and performance.

• Attendance rates have a strong negative correlation with student performance.

• There is a moderate positive correlation between attendance rates and student performance.

• There is no correlation between attendance rates and student performance.

If two variables have a correlation coefficient of 0, what does this mean about their relationship?

• There is a strong positive relationship between the two variables.

• There is a perfect negative relationship between the two variables.

• The two variables are dependent on each other.

• There is no linear relationship between the two variables.

A fitness tracker shows that as the number of steps taken increases, weight tends to decrease. Identify the correlation type and explain its significance.

• Causal relationship

• Positive correlation

• Negative correlation

• No correlation