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Student Year in College Course Work Hours per Class Freshman (1) 2 Sophomore (2) 3 Junior (3) 4 4 Senior (4) A scatterplot of the sample data follows [blue points (circle symbols)]. The line Y = 8 - X is also HOURS 10 O Sum of Distances 8 0 (x-bar, y-bar)) х 5 YEAR Clear All 2. 2. Think about how close the line Y = 8 - X 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. The sum of the vertical distances between the sample points and the orange line is and the sum of the squared vertical distances between the sample points and the line is On the graph, use the green line (triangle symbols) to plot the line that has the same slope as the line Y = 8 - X, but with the additional property that the vertical distances between the points and the line sum to 0. Then place the black point (X symbol) on the graph to plot the point (X, Y) where X is the mean year for the four students in the sample and Y is the mean hours of course work per class for the four students in the sample. (Hint: Two lines with the same slope and differing intercepts are parallel to each other.) The line you just plotted through the point (X, Y). The sum of the squared vertical distances between the sample points and the line that you just plotted is Which of the following lines has the smallest sum of squared errors? O Neither-the two lines fit the data equally well O The line you plotted that has a sum of the distances equal to 0 Y = 8 - X

Student Year in College Course Work Hours per Class Freshman (1) 2 Sophomore (2) 3 Junior (3) 4 4 Senior (4) A scatterplot of the sample data follows [blue points (circle symbols)]. The line Y = 8 - X is also HOURS 10 O Sum of Distances 8 0 (x-bar, y-bar)) х 5 YEAR Clear All 2. 2. Think about how close the line Y = 8 - X 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. The sum of the vertical distances between the sample points and the orange line is and the sum of the squared vertical distances between the sample points and the line is On the graph, use the green line (triangle symbols) to plot the line that has the same slope as the line Y = 8 - X, but with the additional property that the vertical distances between the points and the line sum to 0. Then place the black point (X symbol) on the graph to plot the point (X, Y) where X is the mean year for the four students in the sample and Y is the mean hours of course work per class for the four students in the sample. (Hint: Two lines with the same slope and differing intercepts are parallel to each other.) The line you just plotted through the point (X, Y). The sum of the squared vertical distances between the sample points and the line that you just plotted is Which of the following lines has the smallest sum of squared errors? O Neither-the two lines fit the data equally well O The line you plotted that has a sum of the distances equal to 0 Y = 8 - X

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Student Year in College Course Work Hours per Class Freshman (1) 2 Sophomore (2) 3 Junior (3) 4 4 Senior (4) A scatterplot of the sample data follows [blue points (circle symbols)]. The line Y = 8 - X is also HOURS 10 O Sum of Distances 8 0 (x-bar, y-bar)) х 5 YEAR Clear All 2. 2.
Transcribed Image Text:Student Year in College Course Work Hours per Class Freshman (1) 2 Sophomore (2) 3 Junior (3) 4 4 Senior (4) A scatterplot of the sample data follows [blue points (circle symbols)]. The line Y = 8 - X is also HOURS 10 O Sum of Distances 8 0 (x-bar, y-bar)) х 5 YEAR Clear All 2. 2.
Think about how close the line Y = 8 - X 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. The sum of the vertical distances between the sample points and the orange line is and the sum of the squared vertical distances between the sample points and the line is On the graph, use the green line (triangle symbols) to plot the line that has the same slope as the line Y = 8 - X, but with the additional property that the vertical distances between the points and the line sum to 0. Then place the black point (X symbol) on the graph to plot the point (X, Y) where X is the mean year for the four students in the sample and Y is the mean hours of course work per class for the four students in the sample. (Hint: Two lines with the same slope and differing intercepts are parallel to each other.) The line you just plotted through the point (X, Y). The sum of the squared vertical distances between the sample points and the line that you just plotted is Which of the following lines has the smallest sum of squared errors? O Neither-the two lines fit the data equally well O The line you plotted that has a sum of the distances equal to 0 Y = 8 - X
Transcribed Image Text:Think about how close the line Y = 8 - X 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. The sum of the vertical distances between the sample points and the orange line is and the sum of the squared vertical distances between the sample points and the line is On the graph, use the green line (triangle symbols) to plot the line that has the same slope as the line Y = 8 - X, but with the additional property that the vertical distances between the points and the line sum to 0. Then place the black point (X symbol) on the graph to plot the point (X, Y) where X is the mean year for the four students in the sample and Y is the mean hours of course work per class for the four students in the sample. (Hint: Two lines with the same slope and differing intercepts are parallel to each other.) The line you just plotted through the point (X, Y). The sum of the squared vertical distances between the sample points and the line that you just plotted is Which of the following lines has the smallest sum of squared errors? O Neither-the two lines fit the data equally well O The line you plotted that has a sum of the distances equal to 0 Y = 8 - X
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