Math Literacy
Name:_________________ Linear Regression Practice Assignment:_______
Directions: Answer each question and round answers to the hundredths place.
Linear Regression Model: This is often known as the line of best fit which is a line used to model a set of data. A line of fit shows the general direction of the data and has about the same number of data points above and below it.
|x |y |
|17 |34 |
|18 |49 |
|38 |90 |
|40 |96 |
|29 |70.5 |
|16 |41.5 |
|11 |33 |
Example: Find the linear regression model using your calculator of the data.
Step 1: Enter the data into the L1 and L2 in your calculator.
Step 2: Graph the scatterplot. Make sure your StatPlots are turned on. Change the window if necessary.
Step 3: Calculate the linear regression model (shown to the right)
stat→calc→8 → L1 → , → L2 → , → VARS →Y-VARS → enter → enter → enter
Step 4: Record the linear regression model. y =
Step 5: Press graph and view the linear regression line on your scatterplot
1. The following data represents the amount of money Sergio has in his bank account.
|Week |1 |
|Xmax | |
|Xscl | |
|Ymin | |
|Ymax | |
|Yscl | |
a) Find the Linear Regression model and graph your model
stat→calc→8 → L1 → , → L2 → , → VARS →Y-VARS → enter → enter → enter
y = ____________________
b) Based on the equation for the linear regression line, what is your slope and y-intercept?
Slope: ____________ y-intercept: _______________
c) What is the real-world meaning of the slope?
d) What is the real-world meaning of the y-intercept?
e) Use the equation to calculate when Sergio will be out of money.
2. The following table represents the number of calories and grams of fat certain food items contain.
|Grams of |6 |
|Fat | |
|Xmax | |
|Xscl | |
|Ymin | |
|Ymax | |
|Yscl | |
a) Graph the data on a scatterplot and describe the window you used in the table.
b) Find the Linear Regression model y = ____________________
c) Based on the equation for the linear regression line, what is your slope and y-intercept? Slope: ____________ y-intercept: ___________
d) What is the real-world meaning of the slope?
e) What is the real-world meaning of the y-intercept? Does this make sense?
f) According to the model, approximately how many grams of fat (x) are in a burger that has 334 calories? Show your work.
|Year |1992 |
|Xmax | |
|Xscl | |
|Ymin | |
|Ymax | |
|Yscl | |
a) Graph the data on a scatterplot and describe the window you used in the table.
b) Find the Linear Regression model y = ____________________
c) Based on the equation for the linear regression line, what is your slope and y-intercept?
Slope: ___________________ y-intercept: _______________
d) What is the real-world meaning of the slope?
e) Approximately how many part-time jobs are there this year (2009)? Show your work.
f) When will the number of part-time jobs reach 8 million? Show your work.
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