Question

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?

Answer 1

Consider that the data to be both accurate and precise Because the data don't fall near to the accurate, And the data are dispersed from each other. Hence, it does not have precise. a) The regression eqn is Percentage = 7.56 + 0.44 year Slope = 0.44 intercept = 7.56. b) The meaning of the slope is that for increasing a unit on year increase the mean percentage by 0.44. The meaning of intercept is that is there is no value of year, the mean % is 756. c) Predicted value of the percentage of women working in 2010 is % = 7.56 + 0.44 times 110 = 55.96 Predicted value of the year of women in the force reaches 68.0% is year = -16.55 + 2.28 times 68 = 138.05 TildeEqual 139 2039 year. d) The correlation coefficient of the data is 0.991 means that 99.10% of modal variation is a) 0.90 b) -0.40 c) 0.99 \r\n