Stats Lab 12 - Regression (Distance from School)

Name _____________________________________________________

Student Learning Outcomes:

Calculate and construct the line of best fit between two variables.

Evaluate the relationship between two variables to determine if that relationship is significant.

1)Use eight members of your class or friends/family for the sample (sample data is provided at the end of this lab.Collect bivariate data (distance an individual lives from school, the cost of supplies for the current term).Record the data.

Distance from school (miles) Cost of supplies this term(dollars)

2)Which variable should be the dependent variable and which should be the independent variable?Why?

3)Construct a scatterplot graphing "distance" vs. "cost."Plot the points on the graph.Label both axes with words.Scale both axes.

4)Calculate the following:

a.a=_________

b.b=_________

c.correlation=_________

d.n=_________

e.regression equation: y` _________

f.Is the correlation significant?Why or why not? (Answer in complete sentences)

5)For a person who lives eight miles from campus, predict the total cost of supplies this term.

6)For a person who lives eighty miles from campus, predict the total cost of supplies this term.

7)Sketch the regression line on the scatterplot in question 3.

8)Does the line seem to fit the data?Why?

9)What does the correlation imply about the relationship between the distance and the cost?

Sample data

Distance from school Cost of supplies this term

(in dollars) (inmiles)

5 1550

13 600

27 1200

18 800

8 1350

22 950

45 1000