Question

There is a regression line Y = 10 + 11X. The SEE for the slope is 60. The sample size is 10. The standard deviation of Y is 100 and the standard deviation of X is 5. Do a hypothesis test. Calculate the t-statistic, state the critical value, and state what this means with regards to the relation between X and Y.

Answer 1

For slope ,

Hypothesis :

   ( association is 0 or no association)

Given Information,

Standard error estimate =SEE = 60

Coeffient value =11

n = 10

Test Statistics :

t = 0.183           ( rounded to three decimal place)

df = n-2 = 10-2 = 8

Here significance levelis not given so we assume 0.05 and check at 8 df with 0.05 level of significance in t table ,

Critical value = 2.306

decision :

Test statistics < critical value hence we fails to reject null. and we conclude that there is no relation exist between variable X and Y.

t table :