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regressionhypothesis-test
Bhuneshwer
Bhuneshwer

Reputation: 587

Hypothesis test - Multiple Regression

If β1= β2=0 and β3= 0 is null hypothesis.

If β1= β2=0 holds and β3= 0 fails to hold, then what can you conclude?

Does it mean there is a strong correlation between x1 and x2? or There is a linear relationship between the outcome variable(Y) and x3?

Upvotes: 0

Views: 4786

Answers (3)

Naresh Kumar
Naresh Kumar

Reputation: 499

There is no linear relationship between y and any of the three independent variables.

Upvotes: 0

Archana
Archana

Reputation: 21

There is a linear relationship between the outcome variable(Y) and x3.

Since β3=0 fails to hold, it means that x3 is a significant variable in this linear regression model. Thus, we can say that there is a linear relationship between the outcome variable (Y) and x3.

Upvotes: 2

user14350821
user14350821

Reputation: 1

There is a linear relationship between the outcome variable(Y) and x3

Upvotes: 0

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