ACT VS GPA(DUN DUN
DDDUUUUUUNNNNNN)
Jade Lonyae Vinson
&
Brandon Terrell
Johnson
Introduction & Research Question
- Is there any relationship between the
weighted grade point average (GPA) of
Kenwood Academy High School seniors and
the ACT score they earned?
Introduction & Research Question
(cont’d)
-
We used a sample of forty seniors out of the
full population of 333 seniors and asked
them their weighted GPA and the score they
earn on the ACT. We then recorded their
responses. We then used Linear Regression
Test to evaluate the relationship.
Strengths and Weaknesses

We were able to survey students of various
academic standings so that our findings were
more realistic. However, since they did not
answer our questions anonymously, the
students we asked could have given false
answers.
Weighted GPA Data

3.1
4.2
3.8
3.6
3.7
4.1
3.5
3.3
3.7
3.7
4.2
3.9
3.2
3.4
2.5
Weight GPA
2.8
3.4
4.1
3.1
2.9
3.7
4.2
3.9
2.8
2.5
3.6
4.0
3.4
2.8
2.3
4.8
3.4
2.9
3.2
2.6
3.0
3.6
3.6
2.8
4.1
Average GPA: 3.435
Standard Deviation:.563
ACT Score Data

23
23
26
24
27
24
27
24
25
29
21
24
21
22
25
20
21
29
18
Act Score
17
17
22
25
18
20
21
22
20
19
21
31
23
17
17
21
21
24
20
21
19
Average ACT score: 22.225
Standard Deviation: 3.416
Hypothesis
Ho: β = 0
There is no relationship between
high school weighted GPA and their
ACT score.
Ha: β > 0
There is a relationship between
high school weighted GPA and their
ACT score with a positive slope.
Parameters
Significant Level- .05
Sample Size: 40
Population Size: 333
We will use the Linear Regression Test.
Checking Conditions
-Random Sample
-According to the normal probability plot the graph is
relatively linear, so the data is normal.
Data in graph
ACT VS GPA
35
30
ACT Score
25
20
Series1
Linear (Series1)
15
y = 2.8355x + 12.485
10
R2 = 0.2185
5
0
0
1
2
3
Weighted GPA
4
5
6
Residual
Residual Plot
8
6
4
2
Series1
0
-2 0
10
20
30
40
50
Linear (Series1)
-4
-6
-8
Y =-1.1819E-14x +-8.44003E-14
Liner Regression Test
t=(b- βo)/S
b=2.83547
S=3.0989
t=3.2595
p=.00117
We can reject the Ho because the p value is
.00117 which is less than our significant level
of .05
Conclusion
We can reject the Ho because the p value is
.00117 which is less than our significant level
of .05. There is a relationship between high
school weighted GPA and their ACT score
with a positive slope.