Assume that you estimated a regression equation between one explanatory variable and one dependent variable and...
Assume that you estimated a regression equation between one explanatory variable and one dependent variable and you calculated that r=0.8. Which of the following statements (if any) is correct:
A. The average value of the dependent variable changes by 0.8 when the explanatory variable increases by 1 unit
B. The average value of the explanatory variable changes by 0.8 when the dependent variable increases by 1 unit
C. The explanatory variable explains 64% of the variation in the dependent variable
D. The explanatory variable selected explains 0.8% of the variation dependent variable
E. None of the above options is correct
Homework Answers
Here r=0.8 which means correlation between explanatory and dependent variable is 0.8
So coefficient of determination is r^2=0.64, hence 64% of variation in the dependent variable is explained by explanatory variable
So answer here is
C. The explanatory variable explains 64% of the variation in the dependent variable
Add Answer to:
Assume that you estimated a regression equation between one
explanatory variable and one dependent variable and...
If the coefficient of correlation is 0.8, the percentage of variation in the dependent variable explained by the estimated regression equation is
If the coefficient of correlation is 0.8, the percentage of variation in the dependent variable explained by the estimated regression equation is a. 0.80% b. 80% c. 0.64% d. 64%
The slope of a regression equation represents the average change in the dependent variable y due...
The slope of a regression equation represents the average change in the dependent variable y due to a one-unit increase in the independent variable x. Given the regression equation y-hat = 15.6 - 3.8x, a one-unit increase in x would result in an average decrease of 3.8 units in y-hat.
1- Assume one of the an explanatory a variable (named X1) in your logistic regression is...
1- Assume one of the an explanatory a variable (named X1) in your logistic regression is a categorical variable with the following levels: low, average and high, and another explanatory variable (named X2) is also categorical with the following levels: Sydney and Melbourne. Explain how you will use them in developing your logistic regression model. How many coefficients you will have in your final model? 2.Give two examples related to your discipline that you need to apply over sampling partitioning...
The equation of the regression line between two variables x (independent variable) and y (dependent variable)...
The equation of the regression line between two variables x (independent variable) and y (dependent variable) is given by y-hat = -3x + 2; and the correlation coefficient is r = -.95. The possible x-values range from 1 to 10. Which of the following statements are correct? I. The variable y is strongly positive correlated to the variable x. II. The variable y is strongly negative correlated to the variable x. III. If x = 5, one would predict that...
In multiple regression, if I wanted to determine the effect on the dependent variable of a...
In multiple regression, if I wanted to determine the effect on the dependent variable of a one unit increase in one independent variable, not if all other independent variables are held constant but for basically the value of the dependent variable after I fill out the regression equation with all of the estimated coefficients, how do I go about it? For example, if I wanted the effect of a one percent increase in x1 on the earnings of a 30...
Where appropriate, linear regression with one explanatory variable can be performed through the o...
Where appropriate, linear regression with one explanatory variable can be performed through the origin', that is, with the intercept α fixed equal to zero. The log-likelihood in this reduced model is So(B) 1(8, o)-constant-n log ơ--2 where 7 (by setting α = 0 in Equations (11.5) and (11.6) in subsection 2.1 of Unit 11). Solve the equation dS。(β)/dd = 0 to provide the candidate value fy for the value of β that minimises So(1) (it can be confirmed that β...
Questions Exercise 15.01 Algorithmic eBook The estimated regression equation for a model involving two independent variables...
Questions Exercise 15.01 Algorithmic eBook The estimated regression equation for a model involving two independent variables and 10 observations follows = 30.4517 + 0.61357 + 0.703722 a. Interpret by and be in this estimated regression equation. y changes by 0.6435 when xl increases by 1 unit and x2 stays the same 7 by o y changes by 0.7037 when x2 increases by 1 unit and xl stays the same y b. Estimate y when - 180 and 9 - 310...
The coefficient of a linear regression equation indicates Select one: a. the change in the dependent...
The coefficient of a linear regression equation indicates Select one: a. the change in the dependent variable relative to a unit change in the independent variable. b. the change in the independent variable relative to a unit change in the dependent variable. c. the percentage change in the dependent variable relative to a unit change in the independent variable. d. the percentage change in the independent variable relative to a unit change in the dependent variable.
What is the predicted explanatory value?
You run a regression analysis on a bivariate set of data (n=87n=87). You obtain the regression equationy=−3.815x+47.575y=-3.815x+47.575with a correlation coefficient of r=−0.349r=-0.349 (which is significant at α=0.01α=0.01). You want to predict what value (on average) for the explanatory variable will give you a value of 160 on the response variable.What is the predicted explanatory value?x = (Report answer accurate to one decimal place.)
5. Using the estimated regression equation for estimation and prediction Aa Aa Market model is a term used in finance to describe a linear regression model in which the dependent variable is the retu...
5. Using the estimated regression equation for estimation and prediction Aa Aa Market model is a term used in finance to describe a linear regression model in which the dependent variable is the return on a stock and the independent variable is the return on the overall market. The market model is sometimes extended to include other independent variables-for example, the return on a specific industry sector. Company A is one of the leading software companies in the world. Suppose...
Where appropriate, linear regression with one explanatory variable can be performed through the origin', that is, with the intercept α fixed equal to zero. The log-likelihood in this reduced model is So(B) 1(8, o)-constant-n log ơ--2 where 7 (by setting α = 0 in Equations (11.5) and (11.6) in subsection 2.1 of Unit 11). Solve the equation dS。(β)/dd = 0 to provide the candidate value fy for the value of β that minimises So(1) (it can be confirmed that β...
Questions Exercise 15.01 Algorithmic eBook The estimated regression equation for a model involving two independent variables and 10 observations follows = 30.4517 + 0.61357 + 0.703722 a. Interpret by and be in this estimated regression equation. y changes by 0.6435 when xl increases by 1 unit and x2 stays the same 7 by o y changes by 0.7037 when x2 increases by 1 unit and xl stays the same y b. Estimate y when - 180 and 9 - 310...
5. Using the estimated regression equation for estimation and prediction Aa Aa Market model is a term used in finance to describe a linear regression model in which the dependent variable is the return on a stock and the independent variable is the return on the overall market. The market model is sometimes extended to include other independent variables-for example, the return on a specific industry sector. Company A is one of the leading software companies in the world. Suppose...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 10 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 10 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 10 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 10 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 10 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 10 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 10 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 10 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 10 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 10 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 10 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 10 months ago