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...
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...
A multiple linear regression model based on a sample of 30 weeks is developed to predict standby hours based on the total staff present and remote hours. The SSR is 24672.31and the SSE is 32019.36. Complete parts (a) through (d) below. a. Determine whether there is a significant relationship between standby hours and the two independent variables (total staff present and remote hours) at the 0.05 level of significance. What are the correct hypotheses to test? H0:________________ H1: ________________ Calculate...
Decide (with short explanations) whether the following statements are true or false. e) In a simple linear regression model with explanatory variable x and outcome variable y, we have these summary statisties z-10, s/-3 sy-5 and у-20. For a new data point with x = 13, it is possible that the predicted value is y = 26. f A standard multiple regression model with continuous predictors and r2, a categorical predictor T with four values, an interaction between a and...
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...
Need help with stats true or false questions Decide (with short explanations) whether the following statements are true or false a) We consider the model y-Ao +A(z) +E. Let (-0.01, 1.5) be a 95% confidence interval for A In this case, a t-test with significance level 1% rejects the null hypothesis Ho : A-0 against a two sided alternative. b) Complicated models with a lot of parameters are better for prediction then simple models with just a few parameters c)...
The following ANOVA model is for a multiple regression model with two independent variables: Degrees of Sum of Mean Source Freedom Squares Squares F Regression 2 60 Error 18 120 Total 20 180 Determine the Regression Mean Square (MSR): Determine the Mean Square Error (MSE): Compute the overall Fstat test statistic. Is the Fstat significant at the 0.05 level? A linear regression was run on auto sales relative to consumer income. The Regression Sum of Squares (SSR) was 360 and...
Use SPSS for this exam, be sure to include all the following information to get full credits: (1) null and alternative hypotheses (15%) (2) nameofthe test(15%, explain why you chose it) (3) thetest statistic and its degree offreedom or ANOVAtable(if applicable) (30%! (4) p-value (15%), and (5) scientific conclusion (25%, using 0.05 significance). 1. Ostriches live in hot environments, and they are normally exposed to the sun for long periods Mammals in similar environments have special mechanisms for reducing the...
PART I. Multiple Choice. Cirele the letter to the correct answer on the front page 1. Below is a list of assumptions necessary for the regression analysis to be valid. With each assumption is a proposed procedure (on the right) for checking the validity of the assumption. Select the assumption validity which is the correct match. a. Normal errors b. Constant error variance C. Plot of residuals versus x Plot of residuals versus x Histogram of residuals Look for outliers...
PART I. Multiple Choice. Cirele the letter to the correct answer on the front page 1. Below is a list of assumptions necessary for the regression analysis to be valid. With each assumption is a proposed procedure (on the right) for checking the validity of the assumption. Select the assumption validity which is the correct match. a. Normal errors b. Constant error variance C. Plot of residuals versus x Plot of residuals versus x Histogram of residuals Look for outliers...
1. For each of the following regression models, write down the X matrix and 3 vector. Assume in both cases that there are four observations (a) Y BoB1X1 + B2X1X2 (b) log Y Bo B1XiB2X2+ 2. For each of the following regression models, write down the X matrix and vector. Assume in both cases that there are five observations. (a) YB1XB2X2+BXE (b) VYBoB, X,a +2 log10 X2+E regression model never reduces R2, why 3. If adding predictor variables to a...