What is the test of significance for the coefficient of correlation. (Method 2). The first image

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What is the test of significance for the coefficient of correlation. (Method 2). The first image is the guide. Thank you. I hope you can help me answer this.

It is expected that students who consistently perform
well in major tests, quizzes, assignments and seatworks
in the classroom also perform well in standardized
achievement test. A teacher decided to examine this
hypothesis. At the end of the academic year, she
randomly selected 10 students from her class. She
computes a correlation between the student's
achievement test scores and the overall GPA for each
student computed over the entire year. The data for the
10 students from her class are provided below.
Student Achievement
GPA
A
98
1.2
95
1.3
C
90
1.6
D
87
1.9
E
62
3.5
a. Compute the correlation coefficient.
F
85
2.0
b. Interpret the result in A.
c. Determine the regression equation.
G
76
2.9
H
88
1.5
d. If a student scored a 90 on the achievement test,
what would be his predicted GPA?
71
3.2
e. What could be a students' predicted GPA if he/she
scored 75 and 85?
92
1.4
Transcribed Image Text:It is expected that students who consistently perform well in major tests, quizzes, assignments and seatworks in the classroom also perform well in standardized achievement test. A teacher decided to examine this hypothesis. At the end of the academic year, she randomly selected 10 students from her class. She computes a correlation between the student's achievement test scores and the overall GPA for each student computed over the entire year. The data for the 10 students from her class are provided below. Student Achievement GPA A 98 1.2 95 1.3 C 90 1.6 D 87 1.9 E 62 3.5 a. Compute the correlation coefficient. F 85 2.0 b. Interpret the result in A. c. Determine the regression equation. G 76 2.9 H 88 1.5 d. If a student scored a 90 on the achievement test, what would be his predicted GPA? 71 3.2 e. What could be a students' predicted GPA if he/she scored 75 and 85? 92 1.4
TEST OF SIGNIFICANCE FOR THE
COEFFICIENT OF CORRELATION
МЕТHOD 2
b.) Does this degree of relationship is true for every year? (Use 0.05 level of significance)
TEST OF SIGNIFICANCE FOR THE COEFFICIENT OF CORRELATION (METHOD 2)
1. Formulation of Null and Alternative Hypotheses
Null Hypothesis
Ho: p = 0: There is no significant relationship between the total enrolment and the yearly profit
Alternative Hypothesis
Ha: p+0: There is a significant relationship between the total enrolment and the yearly profit
2. Select the level of significance
a = 0.05
TEST OF SIGNIFICANCE FOR THE COEFFICIENT OF CORRELATION (METHOD 2)
3. Test Statistics
МЕТНOD 2
n = 9
; L-test ( df :n-a)
Reject
p = 0
Fail to reject
p=0
Reject
0.89
-1 r= -0.6660
crifrad vihne
K = 0.6660
1
0.83
TEST OF SIGNIFICANCE FOR THE COEFFICIENT OF CORRELATION (METHOD 2)
4. Decision:
Since, the computed_r_-value (.
0.83
_) is _greater than
the tabular
value (_ 0.6660 ). Therefore,
_reject
the null hypothesis (Ho) at
0.05 _ level of significance.
5. Interpretation:
Rejection
of
the
null
hypothesis
(Но)
that
means
there is a significant relationship between the total
enrolment and the yearly profit
9 years
from 2011 to 2019
base on the sample of
using
0.05
level of
significance.
Transcribed Image Text:TEST OF SIGNIFICANCE FOR THE COEFFICIENT OF CORRELATION МЕТHOD 2 b.) Does this degree of relationship is true for every year? (Use 0.05 level of significance) TEST OF SIGNIFICANCE FOR THE COEFFICIENT OF CORRELATION (METHOD 2) 1. Formulation of Null and Alternative Hypotheses Null Hypothesis Ho: p = 0: There is no significant relationship between the total enrolment and the yearly profit Alternative Hypothesis Ha: p+0: There is a significant relationship between the total enrolment and the yearly profit 2. Select the level of significance a = 0.05 TEST OF SIGNIFICANCE FOR THE COEFFICIENT OF CORRELATION (METHOD 2) 3. Test Statistics МЕТНOD 2 n = 9 ; L-test ( df :n-a) Reject p = 0 Fail to reject p=0 Reject 0.89 -1 r= -0.6660 crifrad vihne K = 0.6660 1 0.83 TEST OF SIGNIFICANCE FOR THE COEFFICIENT OF CORRELATION (METHOD 2) 4. Decision: Since, the computed_r_-value (. 0.83 _) is _greater than the tabular value (_ 0.6660 ). Therefore, _reject the null hypothesis (Ho) at 0.05 _ level of significance. 5. Interpretation: Rejection of the null hypothesis (Но) that means there is a significant relationship between the total enrolment and the yearly profit 9 years from 2011 to 2019 base on the sample of using 0.05 level of significance.
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