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(Requires Appendix Material)Consider the Sample Regression Function

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(Requires Appendix material)Consider the sample regression function (Requires Appendix material)Consider the sample regression function   , where * indicates that the variable has been standardized.What are the units of measurement for the dependent and explanatory variable? Why would you want to transform both variables in this way? Show that the OLS estimator for the intercept equals zero.Next prove that the OLS estimator for the slope in this case is identical to the formula for the least squares estimator where the variables have not been standardized,times the ratio of the sample standard deviation of X and Y,i.e. ,   . ,
where * indicates that the variable has been standardized.What are the units of measurement for the dependent and explanatory variable? Why would you want to transform both variables in this way? Show that the OLS estimator for the intercept equals zero.Next prove that the OLS estimator for the slope in this case is identical to the formula for the least squares estimator where the variables have not been standardized,times the ratio of the sample standard deviation of X and Y,i.e. , (Requires Appendix material)Consider the sample regression function   , where * indicates that the variable has been standardized.What are the units of measurement for the dependent and explanatory variable? Why would you want to transform both variables in this way? Show that the OLS estimator for the intercept equals zero.Next prove that the OLS estimator for the slope in this case is identical to the formula for the least squares estimator where the variables have not been standardized,times the ratio of the sample standard deviation of X and Y,i.e. ,   . .

Comprehend the sociological perspectives on punishment and treatment in response to deviance.
Examine the role of social structure and strain in influencing criminal behavior.
Understand the medicalization of deviance and its criticisms.
Analyze the disparity in societal responses to deviance based on race, gender, and class.

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