# Worksheet: Linear Correlation

In this worksheet, we will practice dealing with linear correlation and distinguishing between different types of correlation.

**Q1: **

What type of correlation exists between the two variables in the shown scatter plot?

- Aa positive linear correlation
- Bno correlation
- Ca negative linear correlation

**Q2: **

What type of correlation does this graph show?

- Aa negative correlation
- Ba positive correlation
- Cno correlation

**Q3: **

Can we use the line of best fit to describe the trend in the data? Why?

- AYes, because the data shows a linear trend.
- BNo, because the data shows an exponential trend not a linear trend.

**Q4: **

The scattergraph shows the average gestation period, measured in days, against the average brain mass of an adult, measured in grams, for 13 species of mammals.

What type of correlation appears to exist between the gestation period and the brain mass?

- Aa negative linear correlation
- Ba positive linear correlation

What is the correct interpretation of this relationship?

- AIn general, as the gestation period increases, the brain mass decreases.
- BA greater brain mass leads to a longer gestation period.
- CIn general, as the gestation period increases, so too does the brain mass.
- DIn general, as the gestation period decreases, the brain mass increases.

**Q5: **

What type of correlation exists between the two variables in the shown scatterplot?

- Ano correlation
- Ba negative linear correlation
- Ca positive linear correlation

**Q6: **

What type of linear correlation might exist between the mass loaded onto a spring and its extension?

- Ano correlation
- Ba negative correlation
- Ca positive correlation

**Q7: **

Suppose variable is the speed of a car and variable is the car’s travel time to its destination. You suspect that if the car decreases its speed, its travel time to the destination increases. Does this follow a positive correlation, negative correlation, or no correlation?

- Anegative correlation
- Bno correlation
- Cpositive correlation

**Q8: **

Suppose variable is the speed of a train and variable is the time for the train to get to the station. You suspect that the more the train increases its speed, the less time it takes to get to the station. Does this follow a positive correlation, negative correlation, or no correlation?

- Anegative correlation
- Bpositive correlation
- Cno correlation

**Q9: **

If the data points all line up on the line of best fit, what does this say about the data?

- AThere is a very weak correlation between the variables.
- BThere is no correlation at all between the variables.
- CThere is a very strong correlation between the variables.

**Q10: **

What type of correlation does the graph show?

- Anegative correlation
- Bno correlation
- Cpositive correlation

**Q11: **

What type of correlation exists between the two variables in the shown scatterplot?

- AA negative linear correlation
- BA positive linear correlation
- CNo correlation

**Q12: **

The following scatter diagram shows the scores of two tests for a class of 26 students. What type of correlation does the graph show?

- Anegative correlation
- Bno correlation
- Cpositive correlation

**Q13: **

The following scatterplot shows the heights and weights of 24 students in a class. What type of correlation does this graph show?

- Ano correlation
- Ba positive correlation
- Ca negative correlation

**Q14: **

What type of linear correlation might exist between the time a student takes to travel to school and the age of the student?

- ANo correlation
- BPositive correlation
- CNegative correlation

**Q15: **

What type of linear correlation might exist between the number of hours spent on social media and the number of hours spent doing homework?

- Aa positive correlation
- Ba negative correlation
- Cno correlation

**Q16: **

Does all bivariate data suggest a linear relationship?

- AYes. Otherwise, drawing a scatter plot would not be possible.
- BNo, because some variables are not correlated linearly or at all.
- CNo, because lines of best fit work for nonlinear relationships as well.
- DYes, that is what “bivariate” means.

**Q17: **

Suppose variable is the number of hours you spent studying, and variable is your grade in the final exam. You suspect that the more hours you spend studying, the higher your grade is. Does this follow a positive correlation, a negative correlation, or no correlation?

- Ano correlation
- Bpositive correlation
- Cnegative correlation

**Q18: **

Suppose variable is the number of hours you work, and variable is your salary. You suspect that the more hours you work, the higher your salary is. Does this follow a positive correlation, a negative correlation, or no correlation?

- Apositive correlation
- Bnegative correlation
- Cno correlation