A University bookstore would like to develop a linear regression equation to help plan how many books to order for each semester. From past records, the bookstore obtains the number of students registered, X, and the number of books sold for a course, Y, for 12 different semesters. These data are below. What is the independent variable (label it on the table)? What are the units?

What is the dependent variable (label it on the table)? What are the units?

2. Create a scatterplot in Desmos and insert your graph into the space below:

3. What is the domain of the relation? What is the range of the relation?

4. Using Desmos, determine the equation of the line of best fit using the general form of the equation representing the data. Record the equation for the line of best fit.

y =

What does “m” in the equation of the line of best fit represent?

What does the “b” in the equation of the line of best fit represent?
Make Predictions:

Predict how many books the bookstore needs to order if they are 15 students.

Use that value to predict the value of the dependent variable:

Predict how many students registered if 40 books were ordered.

Use that value to predict the value of the independent variable:

Analysis:
Is your slope positive or negative and what does this mean in the context of your data?

What does the y-intercept mean for your data?