Question

In: Statistics and Probability

1) Which of the following accurately describes the role of the critical value? A) If the...

1) Which of the following accurately describes the role of the critical value?

A) If the calculated value is greater than the critical value, we can conclude that there is a relationship between the two variables.

B) The critical value for a particular hypothesis test depends on the number of degrees of freedom.

C) If the calculated value is less than the critical value, we cannot reject the null hypothesis.

D) All of the above.

2) Which of the following is NOT true about the R-squared statistic?

A) The R-squared statistic ranges between zero and one.

B) The R-squared statistic is a measure of the overall goodness of fit of the model.

C) The R-squared statistic tells us how likely it is that there is a causal relationship between X and Y.

D) The R-squared statistic indicates the proportion of the variation in the dependent variable that is accounted for by the model.

Expert Solution

1) Which of the following accurately describes the role of the critical value?

-> The critical value for a particular hypothesis test depends on the number of degrees of freedom. More the degrees of freedom more is the critical value

If calculate value is less than critical value we can't reject null hypothesis.

If the calculated value is greater than the critical value, we can conclude that there is a relationship between the two variables. (In this case we reject the null hypothesis)

Thus, the correct answer is

D) All of the above.

2) Which of the following is NOT true about the R-squared statistic?

-> R-squared is a goodness-of-fit measure for linear regression models.

Its value lies between 0 to 1.

The R-squared statistic indicates the proportion of the variation in the dependent variable that is accounted for by the model. The value of 0 indicated no variation and the value of 1 indicates maximum variation

Thus, the point which does not seem to be true is

C) The R-squared statistic tells us how likely it is that there is a causal relationship between X and Y.

orchestra answered 1 year ago

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