Here, the option,errors are not independent is correct.
Because,
(Here, the error are normally distributed, we can see it by histogram of residual).
And there is a linear relationship between the variable because R^2=0.96 it means R= 0.98 and hence this relation shows that variable are strongly correlated with each other and hence, linear relationship between variables.
The below image shows diagnostic plots for a linear regression analysis. Decide if these plots represent...
Which of the following is a diagnostic plot for regression? O A. Scatterplot of y versus x to check linearity O B. Scatterplot of residuals versus predicteds to check for constant variance or nonlinearity ° C. Histogram of residuals to check for normality O D. All of the above are diagnostic plots for regression
194 6 My boss has just asked if my recent regression analysis on political success meets the assumptions of linear regression. I assessed 50 politicians on their speech writing skills and compared it against their election success. Worryingly, my dog ate my data plot and my computer is out of battery - but I do have these plots of residual analysis to hand. What is my conclusion? 1 OO 0 Studentized Residuals -1 100 -2 OF 40 50 60 70...
QUESTION 19 For the following software output, check each assumption/condition to run linear regression and state whether it is appropriate to use linear regression. Bivariate Fit of pluto By alpha 20 15 10 5 0 e 0.05 0.15 C 0.1 alpha Linear Fit Linear Fit pluto -0.597417 16543195*alpha Summary of Fit RSquare RSquare Adj Root Mean Square Error Mean of Response Observations (or Sum Wgts) 0.915999 0.911999 2.172963 6.73913 23 Analysis of Variance Sum of DF Squares Mean Square Source...
please answer the following using the r code provided . The data set below contains information about the gasoline mileage performance for 32 au- tomobiles. We are interested in developing a model to predict the miles per gallon () using related predictor variables. The variables in the study are Dependent variable: Miles per gallon (v) Independent variables: ri horsepower (ft-lb) ra: torque (ft-lb) r: horsepower+torque (ft-lb) rs: carburetor (barrels) (a) We first start by fitting a model using y and...
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)...