1. Using question 12 (delaying major purchases) as the response variable (Y) compute a regression model...
Consider a linear regression model where y represents the response variable, x is a quantitative explanatory variable, and d is a dummy variable. The model is estimated as yˆy^ = 14.6 + 4.5x − 3.4d. a. Interpret the dummy variable coefficient. Intercept shifts down by 3.4 units as d changes from 0 to 1. Slope shifts down by 3.4 units as d changes from 0 to 1. Intercept shifts up by 3.4 units as d changes from 0 to 1. Slope shifts...
Consider a linear regression model where y represents the response variable, x is a quantitative explanatory variable, and d is a dummy variable. The model is estimated as yˆy^ = 14.4 + 4.6x − 3.1d. a. Interpret the dummy variable coefficient. Intercept shifts down by 3.1 units as d changes from 0 to 1. Slope shifts down by 3.1 units as d changes from 0 to 1. Intercept shifts up by 3.1 units as d changes from 0 to 1. Slope shifts...
Question 3. Multiple linear regression [6 marks] Create a multiple linear regression model, including as explanatory variables wt, am and qsec. To run multiple linear regression to predict variable A based on variables B, C and D you need to use R’s linear model command, Im as follows, storing the results in an object I'll call regm. regm <- lm (A B + C + D) summary(regm) Report the output from the relevant summary() command. Explain why the R2 and...
Simple Linear Regression Problem QUESTION 7 A US consumer lobby wishes to develop a model to predict gasoline usage, as measured by miles per gallon, based on the weight of the car in pounds. The Excel data file AUTO.xls (contained in a folder under the CML Quizzes tab) contains data on this for fifty recent models. Use Excel Data Analysis to estimate a linear model for the relationship, a 95% confidence interval for as opecoefice and ha residua po State...
(a) The following is taken from the output generated by an Excel analysis of expenditure data using multiple regression: Regression Statistics Multiple R 0.9280 0.8611 0.8365 Adjusted R2 Standard Error.1488 Observations21 ANOVA Source Regression Residual Total df MS Significance of F 1.66E-07 3 308.68 35.117 102.893 2.930 17 20 358.49 49.81 Coefficient Standard Error 6.2000 0.7260 0.7260 0.9500 t Stat 3.7097 0.2755 -2.0523 0.5158 23.00 0.20 Intercept X2 X3 0.49 (i) Find the limits of the 95 percent confidence interval...
please help! Following is a simple linear regression model: y = a + A + & The following results were obtained from some statistical software. R2 = 0.523 Syx (regression standard error) = 3.028 n (total observations) = 41 Significance level = 0.05 = 5% Variable Interecpt Slope of X Parameter Estimate 0.519 -0.707 Std. Err. of Parameter Est 0.132 0.239 Note: For all the calculated numbers, keep three decimals. Write the fitted model (5 points) 2. Make a prediction...
Use the Regression tool on the accompanying wedding data, using the wedding cost as the dependent variable and attendance as the independent variable. Complete parts a through c. Click the icon to view the wedding data. a. What is the regression model? Wedding Cost =+Attendance (Round to three decimal places as needed.) b. Interpret all key regression results, hypothesis tests, and confidence intervals in the regression output from part a. Interpret the slope of the regression equation. Choose the correct...
Use the following linear regression equation to answer the questions. x1 = 1.5 + 3.4x2 – 8.3x3 + 2.3x4 (a) Which variable is the response variable? Which variables are the explanatory variables? (b) Which number is the constant term? List the coefficients with their corresponding explanatory variables. constant? x2 coefficient? x3 coefficient? x4 coefficient? (c) If x2 = 1, x3 = 8, and x4 = 6, what is the predicted value for x1? (Use 1 decimal place.) (d) Explain how...
Retrieve the "UndergradSurvey.xds" file from the item posted in the Final Exam Week content folder (next to this Exam). Using Excel, create a multiple linear regression to predict the salary expectation (column ) of undergraduate students using their Age (column C) and gender (column B) as the independent variables AWhat is the numeric value of the slope coefficient (b) associated with Age in this model? (Round your answer to 3 decimals). в sng the regression model fro m the previous...
Suppose we have data on the number of U.S. recruits who were rejected for service in a war against Spain because they did not have enough teeth. We wish to compare the rejection rate for recruits who were under the age of 20 with the rate for those who were 40 or over. To run a logistic regression for this setting, we define an indicator explanatory variable x with values 0 for age under 20 and 1 for age 40...