{ "key_pair_value_system": true, "answer_rating_count": "", "question_feedback_html": { "html_star": "", "html_star_feedback": "" }, "answer_average_rating_value": "", "answer_date_js": "2024-06-28T06:01:57-04:00", "answer_date": "2024-06-28 06:01:57", "is_docs_available": null, "is_excel_available": null, "is_pdf_available": null, "count_file_available": 0, "main_page": "student_question_view", "question_id": "4251469", "url": "\/study-help\/questions\/using-the-table-below-calculate-the-variance-of-x-variance-4251469", "question_creation_date_js": "2024-06-28T06:01:57-04:00", "question_creation_date": "Jun 28, 2024 06:01 AM", "meta_title": "[Solved] Using the table below, calculate the vari | SolutionInn", "meta_description": "Answer of - Using the table below, calculate the variance of X, variance of Y, standard deviation of X, standard deviation of Y, t | SolutionInn", "meta_keywords": "table,below,variance,x,y,standard,deviation,covariance,correlation,coefficient,find,regression", "question_title_h1": "Using the table below, calculate the variance of X, variance of Y, standard deviation of X, standard deviation of Y, the covariance between X and", "question_title": "Using the table below, calculate the variance of X, variance of Y,", "question_title_for_js_snippet": "Using the table below, calculate the variance of X, variance of Y, standard deviation of X, standard deviation of Y, the covariance between X and Y, the correlation coefficient between X and Y, and find the regression line assuming X is the independent variable (find the slope and the intercept) In the end, verify that the sum of the residuals equals 0 Show your work Yhat denotes predicted Y values on the regression line given the X values Plug the X values from the first column in the regression line that you have obtained ehat denotes residuals Residuals are defined as actual Y values minus the predicted Y values, that is, subtract Yhat from Y Verify that the sum of this last column is 0 Calculate the following and show the formulas used and your work m m Variance ofX Variance of Y Standard Deviation ofX Standard Deviation of Y Covarianee between X and Y Correlation Coeieient between X and Y The Slope of the Regression Line The Y Intercept of the Regression Line Write out the regression line", "question_description": "
Using the table below, calculate the variance of X, variance of Y, standard deviation of X, standard deviation of Y, the covariance between X and Y, the correlation coefficient between X and Y, and find the regression line assuming X is the independent variable (find the slope and the intercept). In the end, verify that the sum of the residuals equals 0. Show your work.<\/p>
Yhat denotes predicted Y values on the regression line given the X values. Plug the X values from the first column in the regression line that you have obtained.<\/p>
ehat denotes residuals. Residuals are defined as actual Y values minus the predicted Y values, that is, subtract Yhat from Y.<\/p>
Verify that the sum of this last column is 0.<\/p>