In simple linear regression , most often we perform a two-tail test of the popul

Question

In simple linear regression , most often we perform a two-tail test of the population slope 1 to determine whether there is sufficient evidence to infer that a linear relationship exists. The null hypothesis is stated as:
A H0: 1 = r
B H0: 1 = s
C H0: 1 = 0
D H0: 1 = b1

In simple linear regression , most often we perform a two-tail test of the population slope 1 to determine whether there is sufficient evidence to infer that a linear relationship exists. The null hypothesis is stated as:
A H0: 1 = r
B H0: 1 = s
C H0: 1 = 0
D H0: 1 = b1

In simple linear regression , most often we perform a two-tail test of the population slope 1 to determine whether there is sufficient evidence to infer that a linear relationship exists. The null hypothesis is stated as:
A H0: 1 = r
B H0: 1 = s
C H0: 1 = 0
D H0: 1 = b1

Explanation / Answer

Option C is correct because

For a significant linear relationship between the independent variable X and the dependent variable Y, the slope of regression won't be zero or

H0: 1 = 0 equals 0
Ha: 1 not equal to 0

Thus in other words, null hypothesis states that the slope is equal to zero but the alternative hypothesis states that the slope is not equal to zero.

Thus according to null hypothesis,  H0: 1 = 0 or Option C is correct

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