Direction: The following data shows the scores of 5 students in Statistics and Physics. Determine if there is a significant relationship between the scores in Physics and Statistics. Interpret the results. Student Score in Statistics Score in Physics 1 3 5 2 9. 8 10 10 4 12 7 8 Sourcc: Baceay, Elisa S., Belecinu, Rene R., and Mateo, Elen B. Smtistics and Prohahility. Rex Book store, Inc., Philippine Copyripht 2016. 1. State the null and alternative hypotheses. 2. Complete the table. Student Score in Statistics Score in Statistics X2 Y2 XY Y 3 9. 8 10 10

MATLAB: An Introduction with Applications
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ISBN:9781119256830
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Chapter1: Starting With Matlab
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Direction: The following data shows the scores of 5 students in Statistics and Physics.
Determine if there is a significant relationship between the scores in Physics and
Statistics. Interpret the results.
Student
Score in Statistics
Score in Physics
1
3
5
2
9.
8
10
10
4
12
7
8
Sourcc: Baceny, Elisa S., Belecinu, Rene R., and Mateo, Elen B. Smtistics and Probahility. Rex Book store, Inc., Philippine Copyright 2016.
1. State the null and alternative hypotheses.
2. Complete the table.
Student
Score in Statistics
Score in Statistics
X2
Y2
XY
Y
1
3
2
9.
8
3
10
10
4
12
9.
7
8
Σ
Ey :
Ex? =
Ey?:
Σxy -
n=
3. Compute for the value of r using the formula:
n(Exy) - (Ex)(Ey)
V[n(Ex?)F(Ex)²] [n(Ey²) – (Ey)²]
Transcribed Image Text:Direction: The following data shows the scores of 5 students in Statistics and Physics. Determine if there is a significant relationship between the scores in Physics and Statistics. Interpret the results. Student Score in Statistics Score in Physics 1 3 5 2 9. 8 10 10 4 12 7 8 Sourcc: Baceny, Elisa S., Belecinu, Rene R., and Mateo, Elen B. Smtistics and Probahility. Rex Book store, Inc., Philippine Copyright 2016. 1. State the null and alternative hypotheses. 2. Complete the table. Student Score in Statistics Score in Statistics X2 Y2 XY Y 1 3 2 9. 8 3 10 10 4 12 9. 7 8 Σ Ey : Ex? = Ey?: Σxy - n= 3. Compute for the value of r using the formula: n(Exy) - (Ex)(Ey) V[n(Ex?)F(Ex)²] [n(Ey²) – (Ey)²]
4. Compute for the value of t using the formula.
п-2
t = r
1-r2
5. Compare the computed t value with the critical value.
Using df= n-2 =5-2 =3, a = 0.05, two-tailed test, we get from the t-values that the critical value of t is
3.182.
6. Make a decision.
Transcribed Image Text:4. Compute for the value of t using the formula. п-2 t = r 1-r2 5. Compare the computed t value with the critical value. Using df= n-2 =5-2 =3, a = 0.05, two-tailed test, we get from the t-values that the critical value of t is 3.182. 6. Make a decision.
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