##### Question

In: Statistics and Probability

# 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.
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.
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

## 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.

## Related Solutions

##### 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
##### 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...
##### 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 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...
##### B – Compute the Standard Error of the estimate.
Xi 3 12 6 20 14 Yi 55 40 55 10 15                 B – Compute the Standard Error of the estimate.
##### SHORT ANSWER: Why do we divide by the standard error when computing a test statistic?
SHORT ANSWER: Why do we divide by the standard error when computing a test statistic?
##### Based on the below data what will be the value of standard error? Regression Statistics Multiple...
Based on the below data what will be the value of standard error? Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 8 ANOVA df SS MS F Regression 1 33 33.0 16.5 Residual 6 12 2.0 Total 7 Coefficients Standard Error t Stat P-value Intercept 9 31.274666 3.984284 0.007248 Advertising (thousands of \$) 24 6.19330674 1.610802 0.158349 Submit Answer format: Number: Round to: 2 decimal places.
##### In a multiple linear regression how do we calculate the standard error of B2 ( we...
In a multiple linear regression how do we calculate the standard error of B2 ( we have two independent variables and a constant so we have B0 B1 and B2) how do we calculate the standard error of the three.
##### Develop a least-squares estimated regression line. Also, compute the coefficient of determination and explain its meaning....
Develop a least-squares estimated regression line. Also, compute the coefficient of determination and explain its meaning. Price (x) Units sold (y) 34 4 36 4 32 6 35 5 31 9 38 2 39 1
##### Develop a least-squares estimated regression line. Also, compute the coefficient of determination and explain its meaning....
Develop a least-squares estimated regression line. Also, compute the coefficient of determination and explain its meaning. Price (x) Units sold (y) 34 4 36 4 32 6 35 5 31 9 38 2 39 1