Name: ______Period: ______

Algebra 1 Unit 3 STUDY GUIDE

Modeling Linear Data


A.  Describe the correlation of the scatter plot.
B.  Can you conclude that there is a causal connection between the calories burned and the amount of time exercising? Explain. / 2.
A.  Describe the correlation of the scatter plot.
B.  Can you conclude that there is a causal connection between the days of the week and the number of bicycles sold? Explain.

3. Determine the strength of the correlation coefficients, given the following values.

A. -0.15 / B. 0.75 / C. 0.33

4. State what kind of correlation best represents the following scatter plots.

A. / B. / C.

5. The scatter plot shows the average price of a major – league baseball ticket from 1997 to 2006.

A.  Find the equation in slope – intercept form for the line of best fit shown in the scatter plot. /
B.  Predict the price of a ticket in 2009.

6. The table shows the average and maximum longevity of various animals in captivity.

A.  Draw a scatter plot of the data. Be sure to label your graph.
Avg. longevity (years) / Max. longevity (years)
12 / 47
25 / 50
15 / 40
8 / 20
35 / 70
40 / 77
41 / 61
20 / 54
B.  Determine what kind of function best fits the data and explain why.

7. The table below shows the records of the length of your Siberian Husky, Akasha, since birth until she was about 20 months old.

Age(months) / Length (inches)
0.0 / 5.3
1.2 / 7.9
3.7 / 12.4
5.0 / 18.2
8.1 / 28.7
9.9 / 31.5
12.4 / 33.0
14.5 / 35.3
16.0 / 38.6
18.6 / 42.8
20.0 / 47.1

A.  Create a scatter plot of the data. Be sure to label your graph.

B.  Describe the relationship between the two variables.

C.  Draw a line of best fit in the scatter plot and find the equation of the line.

D.  How many inches did Akasha gain each month from the time she was born until she was 20 months old? Explain how you found your answer.

E.  If Akasha continues to grow at this rate, predict her length for the following periods:

10 months old ______2 years old ______8 years old ______

F. What can you conclude about the accuracy of your model? Explain in complete sentences.