ANSWER THE FOLLOWING GIVEN THE DATA Test your regression model for independence of observations. Provide the syntax used to do this in R by Question 61.5 pts completing the blanks below. Test your regression model for homogeneity of variance. Provide the syntax used to do this in R by completing the blanks below. NOTE: Please be sure to also include the syntax for the package you loaded into R to run the analysis. #loads the required package Question 71 pts #tests for independence of observations When examining your residual plot, the errors in your model seem to: C Question 22 Provide the following values from your output from Question 1. be equally distributed around the zero line NOTE: Please provide the values as displayed in R (DO NOT round them). CC: have a funnel shape Autocorrelation (rho): | have a strong u-shaped curve D-W statistic: Question 8 Question 3 It is therefore safe to conclude that the homogeneity of variance assumption has: Based on your p-value from Question 1, are your results statistically significant? Group of answer choices C Yes been violated C No not been violated Question 4 Based on your D-W statistic, the cases in your data are: Question 9 Test your regression model for normality using a Q-Q plot. Provide the syntax used to do this in R by C completing the blanks below. positively correlated uncorrelated Question 10 C When examining your Q-Q plot, the errors in your model have a distribution that is: negative correlated Group of answer choices Question 5 It is therefore safe to conclude that the independence of observations assumption has: normal C been violated positively skewed not been violated negatively skewed fatter in the tails than a normal curveQuestion 11 Test your model for normality using a Shapiro-Wilk test. Provide the syntax used to do this in R by completing the blanks below. Please be sure to also include the syntax used to calculate the residuals. #calculates and stores the residuals $res - #Run the Shapiro-wilk test on the residuals Question 12 Provide the following values from your output from Question 11. NOTE: Please provide the values as displayed in R (DO NOT round them). W statistic: p-value: Question 131 pts Based on these results, it is safe to conclude that the assumption of normality has: Group of answer choices been violated not been violated Question 14 Use R to compute and store your standardized residuals. Provide the standardized residual with the highest absolute value below. Question 15 Based on these results, it is safe to conclude that there are: Group of answer choices significant outliers in the data C: no significant outliers in the data