Question

(AP Statistics) 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?I. For each given value of x, the values of the response variable y are Normally distributed.II. For each given value of x, the values of the response variable y are independent.III. For each given value of x, the standard deviation of y is the same.A. Only IB. Only IIC. Only IIID. I and IIIE. I and II

Answer 1

Concept:

A regression line is a graphic representation of the regression equation expressing the hypothesized relationship between an outcome or dependent variable and one or more predictors or independent variables; it summarizes how well the proposed model actually fits the sample data obtained.

Regression Line

"Regression Line" is described as the line that most adequately fits the provided data in order to display the efficacy of the model.

In the given situation, the I and II exemplify the conditions which will validate the process for the significance test.

The normal distribution, and among x and y and the independent response of y over x display that it suits the data successfully.

The conditions that are required to validate the use of t for the significance test would be:

I and II

Hence,

OPTION C is the right answer