Suppose we developed the following least squares regression equation: can we conclude? What The dependent variable...
The following information regarding a dependent variable (Y in $1000) and an independent variable (X) is provided. Y Dependent Variable 15 17 23 17 I. The least-squares estimate of the slope equals: II. The least-squares estimate of the intercept equals: III. If the independent variable increases by 2 units, the dependent variable is expected to a. decrease by $300 b. decrease by $3000 c. decrease by $3 d. decrease by $2 e. none of the above The letter corresponding...
The following information regarding a dependent variable (Y in $1000) and an independent variable (X) is provided. Y Dependent Variable 15 17 23 17 I. The least-squares estimate of the slope equals: II. The least-squares estimate of the intercept equals: III. If the independent variable increases by 2 units, the dependent variable is expected to a. decrease by $300 b. decrease by $3000 c. decrease by $3 d. decrease by $2 e. none of the above The letter corresponding...
Find the least squares regression line for the data points. (Let x be the independent variable and y be the dependent variable.) Graph the points and the line on the same set of axes 3 -3 3 -3 Find the least squares regression line for the data points. (Let x be the independent variable and y be the dependent variable.) Graph the points and the line on the same set of axes 3 -3 3 -3
The following Regression function has been developed to check the relationship between the dependent variable y and the independent variable ?1 . Consider the following Minitab output and answer the questions. Regression Equation ?̂ = ? . ? ? + ? . ? ? x1 a) Please fill out the Coefficients table appropriately. b) Please fill out the ANOVA table appropriately. c) Suppose that variables ?2 ??? ?3 are added to the above model and the following regression analysis is...
The following Regression function has been developed to check the relationship between the dependent variable y and the independent variable ?1 . Consider the following Minitab output and answer the questions. Regression Equation ?̂ = ? . ? ? + ? . ? ? x1 a) Please fill out the Coefficients table appropriately. b) Please fill out the ANOVA table appropriately. c) Suppose that variables ?2 ??? ?3 are added to the above model and the following regression analysis is...
Suppose a regression analysis produces an R2 coefficient of .51. What can we conclude from these results? The model is not useful. The model explains a very small amount of the variation in the dependent variable. The model explains most of the variation in the dependent variable. The model is not statistically significant.
Dummy Variable Regression: Choose any metric variable as the dependent variable (you can use the same one that you used in Part A) and choose gender as an independent variable. Also choose one more metric variable as an additional independent variable. Once again, however, you must sort through the metric independent variables until you find one that, along with gender, produces a significant F-calc. Use alpha = .05 here as well. You only need to report the model that produced...
A sample of 7 observations collected in a regression study on two variables, x(independent variable) and y(dependent variable). The sample resulted in the following data. SSR=26, SST=40 Using a 0.05 level of significance, we conclude that there is a significant linear relationship between x and y. (Enter 1 if the conclusion is correct. Enter 0 if the conclusion is wrong.)
What are the pitfalls of simple linear regression? True or False for each Lacking an awareness of the assumptions of least squares regression. Not knowing how to evaluate the assumptions of least squares regressions. Not knowing the alternatives to least squares regression if a particular assumption is violated. Using a regression model without knowledge of the subject matter. Extrapolating outside the relevant range of the X and Y variables. Concluding that a significant relationship identified always reflects a cause-and-effect relationship.
With two independent variables, the least-squares multiple regression equation would be Select one: a. Y = a + bX² b. Y = a + b + X1 + X² c. Y = b1X1 + b2X2 d. Y = a + b1X1 + b2X2