Analyzing Correlation: Scatter Plots in Real Life

A scatter plot shows the relationship between hours studied and test scores for 10 students. If the correlation coefficient is 0.85, what does this indicate about the relationship?

• The relationship is strong and positive.

• There is no correlation between hours studied and test scores.

• The relationship is weak and negative.

• The relationship is moderate and negative.

In a study, the correlation coefficient between the amount of rainfall and the number of umbrellas sold is found to be -0.75. What does this negative correlation suggest about the relationship?

• As rainfall increases, umbrella sales remain constant.

• There is no relationship between rainfall and umbrella sales.

• The negative correlation indicates that more umbrellas are sold when it rains.

• The negative correlation suggests that as rainfall increases, the number of umbrellas sold decreases.

A researcher plots the average temperature against ice cream sales over a summer. If the correlation coefficient is 0.90, how would you interpret this result?

• There is a strong positive correlation between average temperature and ice cream sales.

• The correlation coefficient indicates a weak negative correlation.

• There is no correlation between average temperature and ice cream sales.

• Ice cream sales decrease as average temperature increases.

A scatter plot shows the relationship between the number of hours worked and monthly income for a group of employees. If the correlation coefficient is 0.65, what can be inferred about this relationship?

• There is a strong negative correlation between hours worked and monthly income.

• There is a moderate positive correlation between hours worked and monthly income.

• There is no correlation between hours worked and monthly income.

• The correlation coefficient indicates a weak positive correlation.

In a city, the correlation coefficient between the number of parks and the average property value is 0.40. What does this suggest about the relationship between these two variables?

• The number of parks has no effect on property value.

• There is a strong negative relationship between the number of parks and average property value.

• There is no relationship between the number of parks and average property value.

• There is a moderate positive relationship between the number of parks and average property value.

A student collects data on the number of social media hours spent and grades received. If the correlation coefficient is -0.60, what does this imply about their relationship?

• There is no correlation between social media hours and grades.

• There is a strong positive correlation between social media hours and grades.

• There is a weak negative correlation between social media hours and grades.

• There is a moderate negative correlation between social media hours and grades.

A scatter plot indicates a correlation coefficient of 0.95 between the number of books read and vocabulary test scores. What conclusion can be drawn from this data?

• There is a strong positive correlation between the number of books read and vocabulary test scores.

• The number of books read has a negative impact on vocabulary test scores.

• Reading more books leads to lower vocabulary test scores.

• There is no correlation between the number of books read and vocabulary test scores.

In a health study, the correlation coefficient between exercise frequency and cholesterol levels is -0.80. What does this negative correlation imply about exercise and cholesterol?

• There is no relationship between exercise and cholesterol levels.

• Higher cholesterol levels lead to increased exercise frequency.

• Decreased exercise frequency is linked to lower cholesterol levels.

• Increased exercise frequency is associated with lower cholesterol levels.

A scatter plot shows the relationship between the number of hours of sleep and student performance. If the correlation coefficient is 0.55, how would you interpret this finding?

• There is a strong negative correlation between hours of sleep and student performance.

• There is no correlation between hours of sleep and student performance.

• There is a weak positive correlation between hours of sleep and student performance.

• There is a moderate positive correlation between hours of sleep and student performance.

A survey finds a correlation coefficient of 0.20 between the amount of time spent on homework and student anxiety levels. What does this low correlation suggest about the relationship?

• The low correlation indicates a strong negative relationship between homework time and anxiety levels.

• The low correlation suggests no relationship between homework time and anxiety levels.

• The low correlation suggests a weak positive relationship between homework time and anxiety levels.

• The low correlation implies that more homework leads to less anxiety.