The student will calculate and construct the line of best fit between two variables.
The student will evaluate the relationship between two variables to determine if that relationship is significant.
Collect the data
Use eight members of your class for the sample. Collect bivariate data (distance an individual lives
from school, the cost of supplies for the current term).
Complete the table.
Distance from school
Cost of supplies this term
Which variable should be the dependent variable and which should be the independent
variable? Why?
Graph “distance” vs. “cost.” Plot the points on the graph. Label both axes with
words. Scale both axes.
Analyze the data
Enter your data into your calculator or computer. Write the linear equation, rounding to four decimal places.
Calculate the following:
a = ______
b = ______
correlation = ______
n = ______
equation:
ŷ = ______
Is the correlation significant? Why or why not? (Answer in one to three complete sentences.)
Supply an answer for the following senarios:
For a person who lives eight miles from campus, predict the total cost of supplies this term:
For a person who lives eighty miles from campus, predict the total cost of supplies this term:
Obtain the graph on your calculator or computer. Sketch the regression line.
Discussion questions
Answer each question in complete sentences.
Does the line seem to fit the data? Why?
What does the correlation imply about the relationship between the distance and the cost?
Are there any outliers? If so, which point is an outlier?
Should the outlier, if it exists, be removed? Why or why not?
t he silly nut company makes two mixtures of nuts: mixture a and mixture b. a pound of mixture a contains 12 oz of peanuts, 3 oz of almonds and 1 oz of cashews and sells for $4. a pound of mixture b contains 12 oz of peanuts, 2 oz of almonds and 2 oz of cashews and sells for $5. the company has 1080
Lairene and Mae are joking that their combined ages equal Sam’s age. If Lairene is twice Mae’s age and Sam is 69 yrs old, what are Lairene’s and Mae’s ages?
