What is the purpose of testing whether β1 = 0? The purpose of testing whether β1 = 0 is to determine whether or not the mean of the x values

Question

What is the purpose of testing whether β1 = 0? The purpose of testing whether β1 = 0 is to determine whether or not the mean of the x values is equal to the mean of the y values. The purpose of testing whether β1 = 0 is to determine whether or not the regression line provides a good fit for the data. The purpose of testing whether β1 = 0 is to determine whether or not there is a significant relationship between x and y. The purpose of testing whether β1 = 0 is to determine whether or not there is a cause-and-effect relationship between x and y.

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Amara 1 week 2021-09-13T12:19:47+00:00 1 Answer 0

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  1. Answer:

    The purpose of testing whether β1 = 0 is to determine whether or not there is a significant relationship between x and y

    Step-by-step explanation:

    • The purpose of testing whether β1 = 0 is to determine whether or not the mean of the x values is equal to the mean of the y values.

    No, since we are not interested if the mean for the two variables x and y are equal, we want to know if we have relationship between the two variables.

    • The purpose of testing whether β1 = 0 is to determine whether or not the regression line provides a good fit for the data

    No, if we want to test if the regression line provides a good fit for the data we need to use a Chi square test or other type of test.

    • The purpose of testing whether β1 = 0 is to determine whether or not there is a significant relationship between x and y

    Yes, the idea when we have this system of hypothesis:

    Null hypothesis: \beta_1 =0

    Alternative hypothesis: \beta_1 \neq 0

    Is see if we have a significant relationship between x and y, that means that the slope is not equal to 0.

    • The purpose of testing whether β1 = 0 is to determine whether or not there is a cause-and-effect relationship between x and y.

    No, when we conduct a regression we never can conclude that we have a cause-relation effect, that’s not the goal when we conduct this, the idea is check if we have a type of relationship that can be linear, quadratic or other type of relationship betwen some variables.

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