Mathematics

Mathematics
Problem 1
Is there a relationship between the heights of fathers and daughters? Specifically, if you know the
height of a father, can you use it to predict the height of his daughter? Ten father/daughter height pairs
are listed below.
Father
Height
(in)
Daughter
Height
(in)
74 66
71 60
74 72
68 62
76 66
72 68
68 62
74 68
72 64
70 66
Problem 2
John plays basketball for Mendonville High School. He is curious about the relationship between the
number of games played and the total points a player has so far this season. He randomly samples 10
players and records their data below.
Games
Played
Total
Points
11 70
8 58
7 55
5 40
10 75
12 72
13 84
6 34
11 65
15 90
1. Identify the predictor and response variables in Word.
2. Using Minitab, create a scatter plot of the data.
a. Enter the predictor variable data in Column C1
b. Enter the response variable data in Column C2
c. Graph > Scatterplot > Simple
d. Enter the response variable as the Y variable;
Enter the predictor variable as the X variable.
e. Click OK. Copy graph to Word.
3. Describe the direction and the strength of the association in Word.
4. Using Minitab, find the correlation coefficient, r, to describe the association.
a. Stat > Basic Statistics > Correlation
b. Enter BOTH variables in the Variable Box
c. Click OK. Copy results to Word.
4. Identify the correlation coefficient. Is it what you expected?
5. Would you use a father’s height to predict his daughter’s height? Why or
why not?
1. Identify the predictor and response variables in Word.
2. Using Minitab, create a scatter plot of the data and copy to Word.
3. Describe the direction and the strength of the association in Word.
4. Using Minitab, find the correlation coefficient and copy to Word.
5. Are you comfortable with using a linear regression equation to predict total
points using number of games. Why or why not?
6. Using Minitab, find the regression equation appropriate for this data.
a. Stat > Regression > Fitted Line Plot
b. Enter the response variable and predictor variable in the
appropriate boxes.
c. Click OK. Copy the results to Word.
7. Identify the regression equation in Word.
8. Identify the slope. What does this value represent specifically in terms of
games played and total points? Answer in Word.
9. Identify the y-intercept. What does this value represent specifically in
terms of games played and total points? Is this a meaningful number?
Answer in Word.
10. Using the equation identified in part 7 above, predict the number of points
we would expect from a player who has played 9 games this season.
11. Should I use this equation to predict how many total points John will have
when he has completed the 25 game season? Why or why not?
MTH160 – Bond
Problem 3
Joe teaches Statistics at Mendonville Community College. He has noticed a number of his students have
been absent lately and he is curious as to how this impacts their grades. He decided to pull a random
sample of 10 students to conduct his analysis. The data is below.
Days
Absent
Course
Average
5 82.0
0 98.0
1 90.4
2 94.0
4 77.0
3 86.0
10 57.8
7 65.0
8 62.0
2 84.5
1. Identify the predictor and response variables in Word.
2. Using Minitab, create a scatter plot of the data and copy to Word
3. Describe the direction and the strength of the association in Word.
4. Using Minitab, find the correlation coefficient and identify it in Word.
5. Using Minitab, find the regression equation appropriate for this data and
copy results to Word.
6. Identify the regression equation in Word.
7. Identify the slope. What does this value represent specifically in terms of
days absent and course average? Answer in Word.
8. Identify the y-intercept. What does this value represent specifically in
terms of days absent and total points? Is this a meaningful number?
Answer in Word.
9. Do you think this regression equation will be useful for making a prediction
about one’s course average given the number of days they are absent?
Why or why not?
10. Using the equation identified in part 7 above, predict the course average of
a student who has missed statistics 6 times.
11. Should I use this equation to predict the course average of a student who
has missed Spanish class 4 times? Why or why not?