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805+ Level|   Graphs|      
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Sajjad1994
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At a certain archery school, each of five students shot a single arrow Updated on: 10 Nov 2023, 09:56
Originally posted by Sajjad1994 on 20 Jan 2020, 08:30.
Last edited by BottomJee on 10 Nov 2023, 09:56, edited 2 times in total.
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Dropdown 1: -1.3 Dropdown 2: 100% greater
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95% (hard)

Question Stats:

47% (03:00) correct 53% (03:31) wrong based on 224 sessions

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At a certain archery school, each of five students shot a single arrow at the end of each day of training, as well as one arrow before the first day of training. The graph above is a scatterplot, in which each of the 30 points represents the distance from the center of the target to each student’s arrow and the number of days the student had been in training at the time the arrow was shot. The solid line is the regression line.

Use the drop-down menus to fill in the blanks in each of the following statements based on the information given by the graph.

1. The slope of the regression line is closest to .

2. The number of students within 11 inches of the center of the target is after day 2 of training than before any training.


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Dropdown 1: -1.3 Dropdown 2: 100% greater
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Apt0810
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At a certain archery school, each of five students shot a single arrow 20 Jan 2020, 08:49
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1) -1.3,since the two points on the regression line are (1,10) & (4,6) so the slope will be : (6-10)/(4-1)= -4/3= -1.33
2)After day 2, number of candidates who have targets within 11 inches = 4,while before any training the number is 2, so it's a 100% increment

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At a certain archery school, each of five students shot a single arrow 30 Apr 2024, 06:56
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Can you please explain q2 solution in depth. Not able to get 4 within the 11 inch range
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At a certain archery school, each of five students shot a single arrow 30 Apr 2024, 11:50
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Official Explanation

The graph is clearly labeled, so there’s no reason to read the text blurb. The first question asks for the slope of the regression line. Open the drop-down box and review the answer choices. The line’s slope is negative, so eliminate (D) and (E). The line clearly passes through points (1, 10) and (4, 6), so the slope of the line is approximately equal to \(\frac{y-y_{1}}{x-x_{1}}= \frac{6-10}{4-1}\), or \(\frac{-4}{3}\) . Expressed as a decimal, \(\frac{-4}{3}\) is approximately equal to -1.3.

The correct answer is (B).

­The question asks for the percent by which the number of students within 11 inches of the target’s center after day 2 is greater or less than it was before any training. Open the drop-down box and review the answer choices. More students were within 11 inches of the target after 2 days of training, so eliminate (A) and (B). Before any training, 2 students were within 11 inches of the target’s center. After 2 days of training, 4 students were within 11 inches of the target’s center. Use the percent change formula, (difference/original) × 100, to calculate the percent increase, which is equal to \(\frac{4-2}{2} × 100\), or 100%.

The correct answer is (D).
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