Which of the following conditions is/are NOT necessary to justify the use of t procedures in a significance test for the slope of a regression line?

For each given value of x, the values of the response variable y are Normally distributed.
For each given value of x, the values of the response variable y are independent.
For each given value of x, the mean of y is the same.

I

II

I and II

III

I and III

Question

27-10-2022
Mathematics

contestada

Which of the following conditions is/are NOT necessary to justify the use of t procedures in a significance test for the slope of a regression line?

For each given value of x, the values of the response variable y are Normally distributed.
For each given value of x, the values of the response variable y are independent.
For each given value of x, the mean of y is the same.

I

II

I and II

III

I and III

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rafikiedu08 rafikiedu08 · Answer 1 · 2022-10-29T13:59:27+02:00

The condition that is not necessary to justify the use of t procedures in a significance test for the slope of a regression line is III. For each given value of x, the mean of y is the same.

We have to identify the unnecessary conditions to justify the use of t procedures in a significance test for the slope of a regression line.

I) The first condition is that for each given value of x, the values of the response variable y are normally distributed. This condition is necessary.

II) The second condition is that for each given value of x, the values of the response variable y are independent. This is a vital condition.

III) The third condition is that for each given value of x, the mean of y is the same. This is a condition that need not be true.

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