x1 = 1, y1 = 2 x2 = 2, y2 = 3 x3 = 3, y3...

Question

Question

x1 = 1, y1 = 2

x2 = 2, y2 = 3

x3 = 3, y3 = 0

x4 = 4, y4 = 4

x5 = 5, y5 = 7

Conduct a hypothesis test of whether there is a linear relationship between variable X and Y. Calculate the p-value of your test of significance.

Answer 1

Answer #1

Ans:

sample size,n=5

sample correlation coefficient,r=0.672

df=5-2=3

Test statistic:

t=0.672*SQRT((5-2)/(1-0.672^2))

t=1.572

p-value=TDIST(1.572,3,2)=0.2140

Fail to reject H₀.

There is not sufficient evidence to conclude that there is a linear relationship between x and y.

Answer 2

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