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Show transcribed image text 2. Linear equations and the regression line Aa Aa æ—¦ Suppose a graduate student does a survey of undergraduate study habits on his university campus. He collects data on students who are in different years in college by asking them how many hours of course work they do for each class in a typical week. A sample of four students provides the following data on year in college and hours of course work per class student Year in College Course Work Hours per Class Freshman (1) 2 Sophomore (2) unior (3) Senior (4) A scatter plot of the sample data is shown here (blue circle symbols). The line Y2X +9 is shown in orange HOURS 10 O Sum of Distances Mx, My YEAR Think about how close the line Y2X9 is to the sample points. Look at the graph and find each point's vertical distance from the line. If the point sits above the line, the distance is positive; if the point sits below the line, the distance is negative. , and the sum of the The sum of the vertical distances between the sample points and the orange line is squared vertical distances between the sample points and the orange line is on the graph, place the black point (x symbol) on the graph to plot the point (Mx, M), where Mx is the mean year for the four students (1, 2, 3, and 4) in the sample and My is the mean hours of course work per class for the four students (7, 5, 4, and 4) in the sample.
2. Linear equations and the regression line Aa Aa æ—¦ Suppose a graduate student does a survey of undergraduate study habits on his university campus. He collects data on students who are in different years in college by asking them how many hours of course work they do for each class in a typical week. A sample of four students provides the following data on year in college and hours of course work per class student Year in College Course Work Hours per Class Freshman (1) 2 Sophomore (2) unior (3) Senior (4) A scatter plot of the sample data is shown here (blue circle symbols). The line Y2X +9 is shown in orange HOURS 10 O Sum of Distances Mx, My YEAR Think about how close the line Y2X9 is to the sample points. Look at the graph and find each point's vertical distance from the line. If the point sits above the line, the distance is positive; if the point sits below the line, the distance is negative. , and the sum of the The sum of the vertical distances between the sample points and the orange line is squared vertical distances between the sample points and the orange line is on the graph, place the black point (x symbol) on the graph to plot the point (Mx, M), where Mx is the mean year for the four students (1, 2, 3, and 4) in the sample and My is the mean hours of course work per class for the four students (7, 5, 4, and 4) in the sample.
