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705-805 (Hard)|   Graphs|      
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Shahalikhan
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The graph above is a scatter plot with 49 points. The 49 points repre Updated on: 26 Nov 2023, 11:40
Originally posted by Shahalikhan on 11 Aug 2020, 09:16.
Last edited by BottomJee on 26 Nov 2023, 11:40, edited 4 times in total.
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The graph above is a scatter plot with 49 points. The 49 points represent the number of elementary and high schools in 48 U.S. states and the District of Columbia (the numbers of schools in California and Texas are too large to appear on a graph of this scale). The dotted line represents a regression line.
For each blank, select the answer choice that correctly completes the statement according to the information in the graph.

1. The slope of the regression line is .

2. Approximately percent of the 49 states (including the District of Columbia) represented in the graph have fewer than 500 elementary schools.




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The graph above is a scatter plot with 49 points. The 49 points repre 15 Jan 2022, 13:57
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Sajjad1994 could you please share the explanation to question 1?
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Sajjad1994
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The graph above is a scatter plot with 49 points. The 49 points repre 16 Jan 2022, 01:11
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ujain
Sajjad1994 could you please share the explanation to question 1?
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The slope is determined by the relationship of values of x and y, for how many values of y, x change. For every 200 unit value of y; there is a change of 500 units of x. Hence the ratio of change in y per change in y = 200/500 = 0.4 that is less than 1

Answer: C
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The graph above is a scatter plot with 49 points. The 49 points repre 22 Dec 2023, 01:19
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Sajjad1994
ujain
Sajjad1994 could you please share the explanation to question 1?

The slope is determined by the relationship of values of x and y, for how many values of y, x change. For every 200 unit value of y; there is a change of 500 units of x. Hence the ratio of change in y per change in y = 200/500 = 0.4 that is less than 1

Answer: C
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But if take for how many values of x, y changes we get a slope of greater than 1. that is ration of change in x per change in y = 500/200= 2.5 that is greater than 1.

what is the right method???
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The graph above is a scatter plot with 49 points. The 49 points repre 26 Mar 2026, 09:06
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Key concepts:
Slope of a line = y/x for a linear line = tan(theta)
The angle formed anticlockwise direction from a horizontal drawn anywhere if its less than 90 then its always positive.
The angle formed greater than 90 and less than 180 again taken anticlockwise direction is negative.
Hence sloping down graphs over a period will have negative slope and sloping up will have a positive slope.
as.hish404


But if take for how many values of x, y changes we get a slope of greater than 1. that is ration of change in x per change in y = 500/200= 2.5 that is greater than 1.

what is the right method???
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