Question

In: Math

6. In the simple linear regression model, the y-intercept represents the: a. change in y per...


6. In the simple linear regression model, the y-intercept represents the:


a. change in y per unit change in x.


b. change in x per unit change in y.


c. value of y when x=0.


d. value of x when y=0


7. In the simple linear regression model, the slope represents the:


a. value of y when x=0.


b. average change in y per unit change in x.


c. value of x when y=0.


d. average change in x per unit change in y.


8. In regression analysis, the residuals represent the:


a. difference between the actual y values and their predicted values.


b. difference between the actual x values and their predicted values.


c. square root of the slope of the regression line.


d. change in y per unit change in x.


9. The least squares method for determining the best fit minimizes:


a. total variation in the dependent variable


b. sum of squares for error


c. sum of squares for regression


d. All of these choices are true.


10. A regression analysis between sales (in $1000) and advertising (in $ 100 ) resulted in the following least squares line: y=75+6 x. This implies that if advertising is $ 800, then the predicted amount of sales (in dollars) is:


a. $ 4875


b. $ 123,000


c. $ 487,500


d. $ 12,300


Solutions

Expert Solution

​​​​​​

milcah answered 2 years ago
Next > < Previous

Related Solutions

simple linear regression proof of variance of intercept estiamtor β0
simple linear regression proof of variance of intercept estiamtor β0
You are developing a simple linear regression analysis model. The simple correlation coefficient between y and...
You are developing a simple linear regression analysis model. The simple correlation coefficient between y and x is -0.72. What do you know must be true about b1. The least squares estimator of B1? Why? In a multiple linear regression analysis with k = 3. From the t test associated with B1, you conclude that B1 = 0. When you do the f test will you reject or fail to reject the null hypothesis? Why? In a simple bilinear regression...
Use Excel to estimate a simple linear regression model for the following data (Y is a...
Use Excel to estimate a simple linear regression model for the following data (Y is a dependent variable and X is an independent variable): Y X 0 -2 0 -1 1 0 1 1 3 2 Fill in Multiple Blanks: What is the slope of the estimated line?  In your answer, show one (1) digit to the right of the decimal point, for example, 1.0, 1.2. Apply the appropriate rounding rule if necessary. What is the Y-intercept?
True or False, The y-intercept in the linear regression equation describes the average outcome of y...
True or False, The y-intercept in the linear regression equation describes the average outcome of y when x = 1. True or false, The slope in the linear regression equation describes the estimated difference in the y-variable if the explanatory variable x for a case happened to be one unit larger. True or false, If the 95% confidence interval for the population slope is given by 0.22 to 0.33, then the sample slope is 0.275. As one increases the sample...
How are the slope and intercept of a simple linear regression line calculated? What do they...
How are the slope and intercept of a simple linear regression line calculated? What do they tell us about the relationship between the two variables? Give example of problem.
How are the slope and intercept of a simple linear regression line calculated? What do they...
How are the slope and intercept of a simple linear regression line calculated? What do they tell us about the relationship between the two variables? Also, give an example.
Question 4 A simple linear regression model was used in order to predict y, duration of...
Question 4 A simple linear regression model was used in order to predict y, duration of relief from allergy, from x, dosage of medication. A total of n=10 subjects were given varying doses, and their recovery times noted. Here is the R output. summary(lmod4) ## ## Call: ## lm(formula = y ~ x) ## ## Residuals: ##     Min      1Q Median      3Q     Max ## -3.6180 -1.9901 -0.4798 2.2048 3.7385 ## ## Coefficients: ##             Estimate Std. Error t value Pr(>|t|)    ## (Intercept)...
When we estimate a linear multiple regression model (including a linear simple regression model), it appears...
When we estimate a linear multiple regression model (including a linear simple regression model), it appears that the calculation of the coefficient of determination, R2, for this model can be accomplished by using the squared sample correlation coefficient between the original values and the predicted values of the dependent variable of this model. Is this statement true? If yes, why? If not, why not? Please use either matrix algebra or algebra to support your reasoning.
Discuss the underlying assumptions of a simple linear regression model; multiple regression model; and polynomial regression.
Discuss the underlying assumptions of a simple linear regression model; multiple regression model; and polynomial regression.
Why does the intercept estimator in simple linear regression follow a normal distribution. Justify this by...
Why does the intercept estimator in simple linear regression follow a normal distribution. Justify this by using the appropriate assumptions of simple linear regression.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT