When working on a linear regression model, if adding an additional independent variable into the model (that is, from Y = a + bX1 to Y = a + bX1 + bX2) increases the resultant r2 slightly and the resultant adjusted r2 decreases in the larger model (Y = a + bX1 + bX2), then one would be able to conclude that
a) Y= a + bX1 is better forecasting model than Y= a + bX1 + bX2
b) Y= a + bX1 is not good as Y= a + bX1 + bX2
c) both models are good as the other
d) a multiple linear regression model is not good forecasting method for the data
When working on a linear regression model, if adding an additional independent variable into the model...
1. In order to test whether the multiple linear regression model y bo +b,x1 + b2X2 is better than the average model (lazy model), which of the following null hypotheses is correct: a. Ho' b1 = b2 = 0 Но: B1 B2-0 с. We have a dataset Company with three variables: Sales, employees and stores. To build a multiple linear regression model using Sales as dependent variable, number of stores and number of employees as independent variables, which of the...
When you have a first regression model, then a second regression model with an additional independent variable, then a third regression model with yet another additional independent variable, we call these a set of: a. subsequent models b. concurrent models c. nested models d. incremental models
Two linear regression models are fitted using software and below is their R2 and adjusted R2 values. Which of the two models fits the data better? Why does it fit the model better? In order from Model, R specification, R2, Adjusted R2 Model Model 1 : Y ∼ X1 + X3, 0.91, 0.84 Model 2 : Y ∼ X1 + X2, 0.88, 0.86
When evaluating a multiple regression model, for example when we regress dependent variable Y on two independent variables X1 and X2, a commonly used goodness of fit measure is: A. Correlation between Y and X1 B. Correlation between Y and X2 C. Correlation between X1 and X2 D. Adjusted-R2 E. None of the above
2. Multiple coefficient of determination Aa Aa E Macroeconomics is the study of the economy as a whole. A macroeconomic variable is one that measures a characteristic of the whole economy or one of its large-scale sectors. In forecasting the sales of a product, market researchers frequently use macroeconomic variables in addition to marketing mix variables (marketing mix variables include product, price, place [or distribution], and promotion) A market researcher is analyzing an existing multiple regression model that predicts sales...
The ANOVA summary table to the right is for a multiple regression model with five independent variables. Complete parts (a) through (e). Source Degrees of Freedom Sum of Squares Regression 5 270 Error 28 110 Total 33 380 a. Determine the regression mean square (MSR) and the mean square error (MSE). b. Compute the overall FSTAT test statistic. FSTAT=_______________________ (Round to four decimal places as needed.) c. Determine whether there is a significant relationship between Y and the two independent...
We are interested in predicting lung function using demographic characteristics. We fitted 3 multiple linear regression models to our data. Model 1 with an explanatory variable of sex had an R2 of 0.87 and an adjusted R2 of 0.86. Model 2 including smoking status and height had an R2 of 0.95 and an adjusted R2 of 0.81. Model 3 including sex, smoking status, and height had an R2 of 0.95 and an adjusted R2 of 0.75. Without other information, which...
1. In simple linear regression analysis, we assume that the variance of the independent variable (X) is equal to the variance of the dependent variable (Y) True False 2. The standard deviation of the sampling distribution of the sample mean is the same as the population standard deviation. True False 3. If n=20 and p=.4, then the mean of the binomial distribution is 8 True False 4. If a population is known to be normally distributed, then it follows that...
In a simple linear regression study between two variables x ( the independent variable) and y (the dependent variable), a random large sample is collected and the coefficient of correlation r = −.98 is calculated. A)Which of the following conclusion may be made? Group of answer choices x and y are almost perfectly correlated, and y increases as x is increased. x and y are almost perfectly correlated, and y decreases as x is increased. x and y are moderately...
The ANOVA summary table to the right is for a multiple regression model with five independent variables. Complete parts (a) through (e). Source Degrees of Freedom Sum of Squares Regression 5 270 Error 28 110 Total 33 380 a. Determine the regression mean square (MSR) and the mean square error (MSE). b. Compute the overall FSTAT test statistic. FSTAT=_______________________ (Round to four decimal places as needed.) c. Determine whether there is a significant relationship between Y and the two independent...