Question

In the simple linear regression model estimate Y = b0 + b1X A. Y - estimated...

In the simple linear regression model estimate Y = b0 + b1X

A. Y - estimated average predicted value, X – predictor, Y-intercept (b1), slope (b0)

B. Y - estimated average predicted value, X – predictor, Y-intercept (b0), slope (b1)

C. X - estimated average predicted value, Y – predictor, Y-intercept (b1), slope (b0)

D. X - estimated average predicted value, Y – predictor, Y-intercept (b0), slope (b1)

The slope (b1) represents

A. the estimated average change in Y per unit change in X.

B. variation around the line of regression.

C. predicted value of Y when X = 0.

D. the predicted value of Y.

If the Durbin-Watson statistic has a value close to 0, which assumption is violated?

A. Homoscedasticity.

B. Independence of errors.

C. Normality of the errors.

D. None of the above.

The standard error of the estimate is a measure of

A. total variation of the Y variable.

B. the variation of the X variable.

C. explained variation.

D. the variation around the sample regression line

The coefficient of determination (r2) tells us

A. that the coefficient of correlation (r) is larger than 1.

B. the proportion of total variation that is explained.

C. whether r has any significance.

D. that we should not partition the total variation.

Homework Answers

Answer #1

In the simple linear regression model estimate Y = b0 + b1X

B. Y - estimated average predicted value, X – predictor, Y-intercept (b0), slope (b1)

The slope (b1) represents

A. the estimated average change in Y per unit change in X.

If the Durbin-Watson statistic has a value close to 0, which assumption is violated?

A. Homoscedasticity.

The standard error of the estimate is a measure of

D. the variation around the sample regression line

The coefficient of determination (r2) tells us

B. the proportion of total variation that is explained.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
5. You have performed a simple linear regression model and ended up with Y(Y with a...
5. You have performed a simple linear regression model and ended up with Y(Y with a hat) = b0 + b1 x. (a) In your own words, describe clearly what the coefficient of determination, r^2, measures. (b) Suppose that your calculations produce r^2 = 0.215. As discussed in textbook, what can you conclude from this value? Furthermore, what can you say about the strength and direction of the relationship between the predictor and the response variable?
The linear regression equation, Y = a + bX, was estimated. The following computer printout was...
The linear regression equation, Y = a + bX, was estimated. The following computer printout was obtained: Given the above information, the value of the R2 statistic indicates that 0.3066% of the total variation in X is explained by the regression equation. 30.66% of the total variation in X is explained by the regression equation. 0.3066% of the total variation in Y is explained by the regression equation. 30.66% of the total variation in Y is explained by the regression...
Here is the "theoretical" regression equation: yi = β0 + β1xi + εi 1. Select the...
Here is the "theoretical" regression equation: yi = β0 + β1xi + εi 1. Select the appropriate name for each component of the equation. yi:  ---Select--- The linear correlation coefficient The population intercept The estimated intercept The population slope The estimated slope The LOBF The "random error" term The predictor variable The response variable The confounding variable The sampling bias β0:  ---Select--- The linear correlation coefficient The population intercept The estimated intercept The population slope The estimated slope The LOBF The "random...
1, X Y 12 7 a. Find the regression equation. 9 4 b. Interpret the meaning...
1, X Y 12 7 a. Find the regression equation. 9 4 b. Interpret the meaning of the Y intercept bo 13 5 c. Interpret the meaning of the slope b1. 5 3 d. Predict the average value of Y for X = 6   2, Fitting a straight line to a set of data yields the following regression equation a. Find and interpret the meaning of the Y intercept b0. b. Find and interpret the meaning of the slope b1....
Suppose we have a simple linear regression with following printout. Coefficients:                         Estimate Std.    E
Suppose we have a simple linear regression with following printout. Coefficients:                         Estimate Std.    Error    t value Pr(>|t|) (Intercept)        -0.06811     0.08375      -0.813      0.421 X                     0.86818     0.40886      2.1234      0.046 a. What is the p-value for testing the slope H0: β1=0 vs. Ha: β1>0? b. Suppose we had a. F-test for adequacy of this regression. What is the value of the test statistic? What is the p-value? c. Suppose the sample correlation coefficient of x and y is 0. 852.How...
13. Interpreting the intercept in a simple linear regression model is: * (A) reasonable if the...
13. Interpreting the intercept in a simple linear regression model is: * (A) reasonable if the sample contains values of x around the origin. (B) not reasonable because researchers are interested in the effect of a change in x on the change in y. (C) reasonable if the intercept’s p-value is less than 0.05. (D) not reasonable because it is always meaningless. 14. Which of the following is NOT one of the assumptions necessary for simple linear regressions?: * (A)...
Suppose that your linear regression model includes a constant term, so that in the linear regression...
Suppose that your linear regression model includes a constant term, so that in the linear regression model Y = Xβ + ε The matrix of explanatory variables X can be partitioned as follows: X = [i X1]. The OLS estimator of β can thus be partitioned accordingly into b’ = [b0 b1’], where b0 is the OLS estimator of the constant term and b1 is the OLS estimator of the slope coefficients. a) Use partitioned regression to derive formulas for...
Linear Regression conception the true regression model is Y=B0+B1X+esilon However, the sample simple regression line is...
Linear Regression conception the true regression model is Y=B0+B1X+esilon However, the sample simple regression line is Y_head=B0_head+B1_headX, and it doesn't have the error esilon, but why .Please explain it step by step and with some proof to support ***follow the comment***
1. Consider the model Ci= β0+β1 Yi+ ui. Suppose you run this regression using OLS and...
1. Consider the model Ci= β0+β1 Yi+ ui. Suppose you run this regression using OLS and get the following results: b0=-3.13437; SE(b0)=0.959254; b1=1.46693; SE(b1)=21.0213; R-squared=0.130357; and SER=8.769363. Note that b0 and b1 the OLS estimate of b0 and b1, respectively. The total number of observations is 2950.According to these results the relationship between C and Y is: A. no relationship B. impossible to tell C. positive D. negative 2. Consider the model Ci= β0+β1 Yi+ ui. Suppose you run this...
A study is conducted to determine the simple linear regression relation (if any) between average temperature...
A study is conducted to determine the simple linear regression relation (if any) between average temperature over a week and ice-cream sales in a particular city. The following table provides the regression data required to construct the model: Average Temperature and Ice-cream Sales Average Temperature over a Week (°F) Weekly Ice-cream Sales ($'000s) 38 95.512 78 139.092 39 96.298 49 108.688 89 152.288 56 116.48 71 132.61 70 130.454 95 159.834 72 133.896 96 159.75 55 114.594 Calculate the slope...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT