Linear Regression and Correlation Practice

What is a line of best fit used for?

• To make predictions

• To make the graph look pretty

• To connect the points

• To make it look like you know what you are doing

Which sentence describes the relationship shown on this scatter plot?

• As the temperature decreases, the visitors increase. 

• As the temperature increases, the number of visitors increases. 

• As the visitors increase, the temperature decreases. 

• No correlation

Find the equation of the Line of Best Fit from the data set. 

• y = 0.892x - 1.82

• y = 1.82x - 5.02

• y = 0.796x + 5.02

• y = 1.82x + 5.02

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 180 pages. 

• 12 chapters

• 15 chapters

• 18 chapters

• 21 chapters

Which scatter plot shows no relationship?

• Graph A

• Graph B

• Graph C

• Graph D

Which scatter diagram shows the strongest positive correlation?

• 
• 
• 
• 

Use Desmos to determine the line of best fit for the data shown.

The linear regression equation is y = 61.93x - 1.79.  Use the equation to predict how far this person will travel after 10 hours of driving.

• 10 miles

• 617.5 miles

• 0.19 miles

• 500 miles

Above is a table that represents the distance in miles vs. the cost of a plane ticket. What does the slope mean in the regression equation y=0.136x+74?

• A plane ride costs $0.136 (13 cents)

• For every 1 mile flown, the cost goes up  $ 0.136 dollars (13 cents)

• For every 1 mile flown, the cost goes up $74

What does the y-intercept mean in this context?

• If you do not practice, you can type 117.8 words per minute

• If a person has been to college for 0 years, they type 117.8

• The fastest person types at 117.8 words per minute

• If a person is 0 years old, they type at 117.8 words per minute