Question

Suppose you are given the following x and y values. Assume x is the independent variable...

Suppose you are given the following x and y values. Assume x is the independent variable and y the dependent variable.

x y
13 10
10 11
3 4
29 23
5 8
25 21
8 10
17 15
19 17
31 29
23 24

Is there a significant relationship between x and y? Explain. Test at a 5% level of significance

Homework Answers

Answer #1
X Y X * Y
13 10 130 169 100
10 11 110 100 121
3 4 12 9 16
29 23 667 841 529
5 8 40 25 64
25 21 525 625 441
8 10 80 64 100
17 15 255 289 225
19 17 323 361 289
31 29 899 961 841
23 24 552 529 576
Total 183 172 3593 3973 3302

To Test :-

H0 :-  

H1 :-  

Test Statistic :-


t = 11.9701


Test Criteria :-
Reject null hypothesis if


Result :- Reject null hypothesis


Decision based on P value
P - value = P ( t > 11.97014052 ) = 0.00000079
Reject null hypothesis if P value < level of significance
P - value = 0.00000079 < 0.05 ,hence we reject null hypothesis
Conclusion :- We reject H0

There is statistically sufficient evidence to conclude that there is linear relationship between x and y.

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