Question

If we have one predictor variable in a regression model and the regression coefficient associated with...

If we have one predictor variable in a regression model and the regression coefficient associated with the predictor variable is equal to zero, what is the value of the outcome (y) equal to?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

If the regression coefficient associated with the predictor variable is equal to zero, this means the slope of the regression line is zero, then the value of the outcome (y) equal to the y-intercept of the regression equation. This value of the outcome of y will be same and constant for any value of the predictor x because slope is zero. See below for more details:

Regression equation is given as below:

Y = a + b*X

b = Slope or regression coefficient of predictor X

If slope b = 0, then for any value of X, b*X will be 0.

Y = a + 0 = a = y-intercept

We know that y-intercept is constant value.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1) a. A negative value for b indicates that high values on the predictor are associated...
1) a. A negative value for b indicates that high values on the predictor are associated with  (low/high) values on the outcome variable. b. True or False: The value of b indicates the amount of change in the outcome variable for every 1 unit change in the predictor variable 2) Assuming all else is equal, a variable (A) with a correlation to Y of r = -0.51 will produce more accurate predictions of Y than a variable (B) with a correlation...
We have developed a multiple regression model to predict the number of volunteers for a monthly...
We have developed a multiple regression model to predict the number of volunteers for a monthly charity event. One of the independent variables is Rain: a binary variable equal to 1 if it rains on the day of the event, and 0 otherwise. In the regression output, the coefficient for Rain is -22. What does that coefficient mean, precisely, with regard to the model’s predictions?
In a regression analysis used to explain Consumption, Income was used as a predictor variable. Part...
In a regression analysis used to explain Consumption, Income was used as a predictor variable. Part of the output is shown below: Coefficient=10.6 Standard Error=1.1188 t Statistic=8.93 p-Value=0.0030 Income. What can we conclude about Income as a predictor of Consumption? Income is not a useful predictor of Consumption. Income is a useful predictor of Consumption.
Two simple (i.e, one x variable) linear regression models are fit. Model A, using variable x1...
Two simple (i.e, one x variable) linear regression models are fit. Model A, using variable x1 only, has an R2 of 0.23. Model B, using variable x2 only, has an R2 of 0.57. What will the R2 value be for Model C, which uses both x1 and x2? Cannot be determined without knowing the correlation between x1 and x2. It will be some value less than 0. It will equal 0.34 It will equal 0.80. We cannot say without knowing...
1. If we add k indicator variables to a regression model for a categorical variable with...
1. If we add k indicator variables to a regression model for a categorical variable with k levels, the regression tool will return one coefficient estimate of 0.00 because: a. The k variables are not independent b. The k variables are independent 2. If we add up to 3rd order polynomial terms to a regression model (e.g., x, x^2 and x^3) it will allow the relationship between X and Y to change direction 3 times. a. True b. False 3....
True or False: If the correlation coefficient between response variable and the independent variable (or predictor)...
True or False: If the correlation coefficient between response variable and the independent variable (or predictor) is close to zero, then the predictor makes almost no contribution in the variation of the response. Briefly justify your conclusion.
Question 1 How is a residual calculated in a regression model? i.e. what is the meaning...
Question 1 How is a residual calculated in a regression model? i.e. what is the meaning of a residual? a)The difference between the actual value, y, and the fitted value, y-hat b)The difference between the fitted value, y-hat, and the mean, y-bar c)The difference between the actual value, y, and the mean, y-ba d)The square of the difference between the fitted value, y-hat, and the mean, y-bar Question 2 Larger values of r-squared imply that the observations are more closely...
Which one of the below is false? Group of answer choices In regression models, if p-value...
Which one of the below is false? Group of answer choices In regression models, if p-value for a predictor is greater than alpha, then that predictor is helpful to predict the response variable. High correlation correficents indicate strong relationship between the variables of a regression model. In regression models, we use p-values and alpha to determine if the model is significant Higher coefficient of determination values are desired in regression models.
Question 4. Construct a diagram of a scatterplot with a best-fitting regression line (i.e. one that...
Question 4. Construct a diagram of a scatterplot with a best-fitting regression line (i.e. one that is fitted by eye). Label your axes and indicate which axis is the dependent variable and which axis is the independent variable. In your diagram indicate a residual. Write out a simple linear regression model and describe what each part of the model is (for example what is ??) use the simplear regression formula as  ?i = ? + ??i + ?i •?i is the...
f. Interpret the slope coefficient for one of the dummy variables included in your regression model....
f. Interpret the slope coefficient for one of the dummy variables included in your regression model. g. For the slope coefficient of the variable with the smallest slope coefficient (ignore sign, use absolute value), test to see if the “a priori” expectation from part (a) is confirmed. Use alpha = 0.05. h. Interpret the coefficient of determination in this situation. i. Test the explanatory power of the entire regression model. Please use alpha = 0.01. j. For the variable with...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT