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- What is the most important assumption with regard to simple linear regression? Normality of the distribution There can be no outliers in the data There cannot be a restricted range on the X axis HomoscedasticityWhich of the following is FALSE? * The residuals in a regression model are assumed to have a zero mean. Data point below the regression line, the residual is negative. The residuals in a regression model are assumed to have increasing mean. The regression model assumes the residuals are normally distributed.Define Linear Regression Errors?
- A) Which point from the data has the largest residual? B) Explain what the residual means in context. Is this point an outlier? An influential point? The residual means that when the swim time is______, the observed heart rate is about _____ beats less than the predicted rate. When this point is removed, it has an effect on the regression line, so it is influential. The point is not an outlier, because the residual is less than twice the standard deviation.Please help me to write the interpretation for ANOVA and linear regression for both countries in Austria and United Kingdom (Attachment is there)The regression equation is ***** Predictor Coef StDev t-ratio p-value Constant 1.7586 0.2525 6.9648 0.0000 AGE 0.2124 0.3175 * 0.5042 MIL -0.7527 0.3586 -2.0991 ** ENG 4.8124 0.6196 7.7664 Analysis of Variance 0.0000 Source DF SS MS F p Regression 3 413.1291 138.7097 *** 0.00 Error 50 457.7607 2.2888 Total 53 e) Perform the F Test making sure to state the null and alternative hypothesis. f) Given an interpretation of the term “R-sq” and comment on its value.
- The regression equation is ***** Predictor Coef StDev t-ratio p-value Constant 1.7586 0.2525 6.9648 0.0000 AGE 0.2124 0.3175 * 0.5042 MIL -0.7527 0.3586 -2.0991 ** ENG 4.8124 0.6196 7.7664 Analysis of Variance 0.0000 Source DF SS MS F p Regression 3 413.1291 138.7097 *** 0.00 Error 50 457.7607 2.2888 Total 53 c) Fill in the missing values ‘*’, ‘**’, and ‘***’. d) Hence test whether ? is significant. Give reasons for your answer.The regression equation is ***** Predictor Coef StDev t-ratio p-value Constant 1.7586 0.2525 6.9648 0.0000 AGE 0.2124 0.3175 * 0.5042 MIL -0.7527 0.3586 -2.0991 ** ENG 4.8124 0.6196 7.7664 Analysis of Variance 0.0000 Source DF SS MS F p Regression 3 413.1291 138.7097 *** 0.00 Error 50 457.7607 2.2888 Total 53 a) What is dependent and independent variables? b) Fully write out the regression equationplease do all parts! The estimated regression equation for this data set is y=4.4878+1.9549x. Part A: (in image) Part B: is the linear function is the appropriate regression function for this data set? Part C: do the residuals have a constant variance? Part D: are the residuals independent? Part E: are the error terms are normally distributed? y x22 821 818 846 2241 2254 2276 3258 3268 32
- It appears that there is a significant relationship between cyberbullying (X) and internet trolling (Y). Model Summary Model R R Square Adjusted R Square Std. Error of the Estimate 1 .889a .790 .748 1.50555 a. Predictors: (Constant), CyberBullying ANOVAa Model Sum of Squares df Mean Square F Sig. 1 Regression 42.667 1 42.667 18.824 .007b Residual 11.333 5 2.267 Total 54.000 6 a. Dependent Variable: InternetTrolling b. Predictors: (Constant), CyberBullying Coefficientsa Model Unstandardized Coefficients Standardized Coefficients t Sig. B Std. Error Beta 1 (Constant) .333 1.639 .203 .847 CyberBullying 1.333 .307 .889 4.339 .007 a. Dependent Variable: InternetTrolling State hypothesis for the correlation: Is the correlation significant using α = .05? State the conclusion in APA format.…A logistic regression model was proposed for classifying common brushtail possums into their two regions. The outcome variable took value 1 if the possum was from Victoria and 0 otherwise. Estimate SE Pr(>|Z|) (Intercept) 31.1256 9.7822 3.1819 0.0014 sex_male -1.3917 0.6456 -2.1557 0.0312 -2.2381 skull_width total_length tail_length -0.2782 0.1243 0.0252 0.5529 0.1337 4.1354 -1.8147 0.3636 -4.9909 (a) Write out the form of the model. log_odds(Victoria) =| sex_male skull_width + total_length + tail_length Also identify which of the variables are positively associated when controlling for other variables. O skull_width O sex_male total_length tail_length (b) Suppose we see a brushtail possum at a zoo in the US, and a sign says the possum had been captured in the wild in Australia, but it doesn't say which part of Australia. However, the sign does indicate that the possum is male, its skull is about 64 mm wide, its tail is 40 cm long, and its total length is 85 cm. What is the reduced…Which statistic is associated only with multiple regression and not with simple regression? adjusted R2 partial F test estimated or predicted value z-test
