18) The ratio of the regression coefficient to its standard error is called: A) t-statistic. B)...

18) The ratio of the regression coefficient to its standard error is called:

A) t-statistic.

B) F-statistic.

C) partial F-statistic.

D) coefficient of determination.

Answer:

19) The range of values in which we can be confident that the true regression coefficient lies within a given degree of probability is called a:

A) prediction interval.

B) confidence interval.

C) logistic regression.

D) none of the above.

Answer:

20) The estimated regression equation is Y = 10 + 2.5X, if X =0 than the predicted value of Y is equal to:

A) 12.5

B) 10

C) 2.5

D) 7.5

Answer:

Solutions

Expert Solution

The ratio of the regression coefficient to its standard error is called t- statistics . As from the formulae for calculating t value we can directly find that it is the ratio of regression coefficient mean1- mean2 to standard error.

In next question to obtain a prediction interval we first plough the regression equation and then predict the range.

To calculate the value of Y from the regression equation we need to substitute the value of x=0 in the regression equation.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

T statistic Why do we use the t statistic? What is standard error? What’s the difference...

T statistic Why do we use the t statistic? What is standard error? What’s the difference between a one-sample t-test, an independent measures t test, and a repeated measures t-test? Walk through the 5 steps of hypothesis testing using a one-sample t-test. What are the assumptions of the t test? One-way ANOVA There are two sources of variation. What are they? Why do we care about them? Why do we use ANOVA? In other words, why don’t we just use...

The standard error of the regression coefficient is .009. Calculate a statistical test to determine if...

The standard error of the regression coefficient is .009. Calculate a statistical test to determine if the regression coefficient differs from 0. State the research and null hypothesis. What table value is needed to reject the null hypothesis? What is the value of your calculated test statistic? What is the approximate probability of making a Type I error? What do you conclude about the nature of the linear relationship between state population density and covid19 mortality rate?

What is Standard Error in a Regression?

What is Standard Error in a Regression? The average deviation from the mean The average deviation of the correlation coefficient to the R2 value The average deviation of X to Y values The average deviation of the predicted scores and the actual scores

If the coefficient on a variable is -14.2 and the standard error is 4.4, is the...

If the coefficient on a variable is -14.2 and the standard error is 4.4, is the squirrel variable statistically significant? a. yes b. no

Differentiate Standard error of regression (Sy) Standard error of slope (Sm) Standard error of y-intercept (Sb)

1. If the test statistic (the calculated F ratio) is 10 and the error variance is...

1. If the test statistic (the calculated F ratio) is 10 and the error variance is 5, what is the treatment variance? 2. If the treatment Sum of Squares is 400, and k=5, what is the treatment variance? 3. What is the table value for F(11,46) when alpha = .05? 4. What is the lowest possible value for the F statistic? 5. The following table shows the results of an analysis of variance comparing three treatment conditions with a sample...

How do you interpret the coefficient of determination, coefficient of alienation, standard error of estimate

What does a t-statistic of 1.35 for a coefficient on a variable mean in the context...

What does a t-statistic of 1.35 for a coefficient on a variable mean in the context of an empirical study in economics? Why?

In the following Stata output, calculate the value of the t statistic for the coefficient of X3.

In simple linear regression, r 2 is the _____. a. coefficient of determination b. coefficient of...

In simple linear regression, r 2 is the _____. a. coefficient of determination b. coefficient of correlation c. estimated regression equation d. sum of the squared residuals QUESTION 3 A least squares regression line ______. a. may be used to predict a value of y if the corresponding x value is given b. implies a cause-effect relationship between x and y c. can only be determined if a good linear relationship exists between x and y d. All of the...

Subjects