# Please provide answers and detailed explanations Linear Regression & Correlation Coefficient Practice Would you consider the…

Please provide answers and detailed explanations

Linear Regression & Correlation Coefficient Practice Would you consider the data to be accurate, precise or both? Justify. 1. 10 T 2. The table below shows the percentage of females in the U.S. labor force at various times throughout history Years after 1900 | 50 Percentage | 60 T70- T80-T90 8.1 42.5 45.3 100 52.0 Enter the data into your calculator or excel and give the equation. Round slope & y-intercept to 2 decimal places a. b. What is the meaning of the slope? Of the y-intercept? Predict the percentage of women working in 2010. year(s) when the percentage of women in the labor force reaches 68.0%. c. Predict the d. What is the correlation coefficient of the data? What does the r2 value mean? The correlation coefficients for the six scatter plots shown below are -0.85, 0.40, 0, 0.50, 0.90 and 0.99. Match each scatter plot with the correct correlation coefficient. 3. a. b. C. d. e. Investigating Types of Errors: Checks and Balances Let’s consider a scientist checking a set of standard masses on four different laboratory balances. We will assume each standard mass is the true value with no error. For each balance below, plot the balance mass as a function of the standard mass and perform a linear regression on each set. Standards Balanc Balanc Balanc Balanc 1.81 5.57 10.00 12.008.50 9.57 15.00 17.0012.75 15.67 20.00 20.00 22.00 17,00 20.89 25.0027.00 21.25 24.12 2.00 5.00 10.00 15.00 2.00 4.00 1.70 5.00 7.004.25 Calculate the linear regression equation, r2 and determine which type of error occurring with each balance. Explain the errors based on the standard masses Balance 1 Balance 2 Balance 3 Balance 4