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

 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.

#### Earn Coins

Coins can be redeemed for fabulous gifts.