Your graphing calculator is a great tool! Get comfortable with it and it will save you lots of time and effort.
To perform a linear regression:
1) Press Stat, then Edit.
2) Enter your inputs (x-values) in L1 and your outputs (y-values) in L2
3) Press Stat, arrow over to Edit, and then select 4: Lin Reg
4) Arrow down to Calculate button, and press enter.
5) The calculator gives you the slope as "a" and the intercept as "b". Rounding to the nearest hundredth is a good idea, if the question doesn't specify!
Use the equation you are given to make predictions!
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Question 1
1.
Brian uses a linear regression to model the relationship between cricket chirp rate and temperature shown in the table.
Using the model, he finds the predicted temperature for a chirp rate of 19 chirps per minute to be...
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Question 2
2.
A student who waits on tables at a restaurant recorded the cost of meals and the tip left by diners.
If the next diner orders a meal costing $10.50, how muh tip should the waiter expect to receive?
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Question 3
3.
The table below gives the number of hours spent studying for a science exam (x) and the final exam grade (y).
Predict the exam grade of a student who studied for 6 hours.
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Question 4
4.
The table below shows the lengths (in inches) and corresponding weights (in pounds) of sand sharks.
Predict the weight of a sand shark whose length is 75 inches.
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Question 5
5.
The table below gives the height (in inches) and shoe sizes of six randomly selected men.
If a man has a shoe size of 10.5, what would be his predicted height? (Be careful, if height is x, you are replacing y!)
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Question 6
6.
The following data shows the world record times for the 200 meter race for flying start machines (a kind of bicycle).
What would you predict the record time to be in 1988?