Question 15 In the below residual plot, which assumption(s) of regression is/are violated? Residuals vs Fitted 2 4 Residuals -20 880 049 8 88 08 o 0 810 300 -8 -6 -4 -2 0 2 4 6 Fitted values Linear relationship between X and Y Equal variance across levels of X Normality Residuals are independent
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- What is the difference between standardized and unstandardized regression coefficients? R2 is often used in connection with regression and is usually stated as explained variance (variance explained). What does this mean? What does it mean that the variance is "explained"? Give a brief but realistic example of a situation that would involve multicollinearity and explain why it is a problem.Which statistical methods is appropriate for this research question? We want to determine if year in high school (freshman, sophomore, junior, senior) is significantly associated with use of vaping products in the past week (yes or no). Chi-Square Test Linear Regression Independent Two-Sample t-Test ANOVAWhat is the value of r square in the regression model? what is the additional contribution of gender to the percentage of variance expalined?
- Why is bivariate normal distribution important in regression analysis?You may need to use the appropriate technology to answer this question. The commercial division of a real estate firm is conducting a regression analysis of the relationship between x, annual gross rents (in thousands of dollars), and y, selling price (in thousands of dollars) for apartment buildings. Data were collected on several properties recently sold and the following computer output was obtained. Analysis of Variance SOURCE DF Adj SS Regression 1 41587.3 Error 7 Total 8 51984.1 Predictor Coef SE Coef T-Value Constant 20.000 3.2213 6.21 X 7.210 1.3626 5.29 Regression Equation Y = 20.0 + 7.21 X (a) How many apartment buildings were in the sample? (b) Write the estimated regression equation. ŷ = (c) What is the value of sb1? (d) Use the F statistic to test the significance of the relationship at a 0.05 level of significance. State the null and alternative hypotheses. H0: ?1 ≠ 0Ha: ?1 = 0H0: ?0 = 0Ha: ?0 ≠ 0 H0: ?0 ≠…