The table below shows the percentage of the population of females in the U.S. labor force at various times throughout history. Years after 1900 50 60 70 80 90 100 Percentage 29.4 31.5 37.8 41.6 44.9 51.8 A. Enter the data into your calculator and give the equation of the least squares regression line. Round slope & y-intercept to 2 decimal places. B. What is the interpretation of the slope for this equation? Of the y-intercept? C. Use your equation to predict the percentage of women working in 1995. (Be careful about what value you enter for x.) D. What is the residual for the point (70, 37.8)? E. What is the correlation coefficient? (Use appropriate notation.) What is the direction and strength?
Added by Emilia T.
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The data points are: \((50, 29.4)\), \((60, 31.5)\), \((70, 37.8)\), \((80, 41.6)\), \((90, 44.9)\), \((100, 51.8)\). Show more…
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The number of women in the workplace, based on data and projections from 1950 to 2050, can be modeled by a linear function. The number was 18.4 million in 1950 and is projected to be 81.6 million in 2030. Let x represent the years after 1950. a. Find a function that models the data b. Determine the y-intercept and the slope c. Interpret in the context of the problem what the y-intercept means and what the slope means. d. What is the projected number of women in the work force in 2002?
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The table below shows the percentage of females in the U.S. labor force at various times throughout history. Years after 1900 | 50 | 60 | 70 | 80 | 90 | 100 Percentage | 29.6 | 33.4 | 38.1 | 42.5 | 45.3 | 52.0 Use the regression equation with values rounded to two decimal places. What is the percentage predicted by the regression equation for the year 1984? What is the percentage predicted by the regression equation for the year 2020? In what year does the equation predict there will be 100% of females in the U.S. labor force? Is this prediction reliable?
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The graphs show the percentage of jobs in the U.S. labor force held by men and by women from 1970 through $2015 .$ (GRAPH CAN NOT COPY) The formula $$p=1.6 \sqrt{t}+38$$ models the percentage of jobs in the U.S. labor force, $p$, held by women $t$ years after 1970 . a. Use the appropriate graph to estimate the percentage of jobs in the U.S. labor force held by women in 2010 . Give your estimation to the nearest percent. b. Use the mathematical model to determine the percentage of jobs in the U.S. labor force held by women in 2010 . Round to the nearest tenth of a percent. c. According to the formula, when will $51 \%$ of jobs in the U.S. labor force be held by women? Round to the nearest year.
Prerequisites: Fundamental Concepts of Algebra
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