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The following graph shows the results of a survey taken in 14 markets

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Sajjad1994
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The following graph shows the results of a survey taken in 14 markets [#permalink] New post   30 Oct 2023, 08:55
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Data Insights (DI) Butler 2023-24 [Question #82, Date: Oct-31-2023] [Click here for Details]


The following graph shows the results of a survey taken in 14 markets that inquired about subjects’ habit of reading the print version of a daily newspaper. Each point represents the percent of men and the percent of women in a particular market who indicated that they read the daily paper. The solid line is the line of best fit. The equation of this line is shown on the graph.

Attachment:
12.jpg
12.jpg [ 85.05 KiB | Viewed 1656 times ]


The line of best fit suggests that a 1% increase in the number of men who read the daily paper corresponds to a in the number of women who read the daily paper.

Based upon these data, in a market in which approximately 40% of men read the daily paper, we would expect about of women to read the daily paper.

Show SpoilerAdditional Question
Based upon these data, we would expect to find approximately 70% of women reading the daily paper in markets where ____________ of men do so.

(A) 58%
(B) 62%
(C) 68%
(D) 70%
(E) 77%

Ans: E


Question #1 based on the same graph is available here
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Official Answer
Dropdown 1: 1.1% increase Dropdown 2: 25%
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Re: The following graph shows the results of a survey taken in 14 markets [#permalink] New post   02 Nov 2023, 04:34
Answer for additional question?
Based upon these data, we would expect to find approximately 70% of women reading the daily paper in markets where _____77%_______ of men do so.

(A) 58%
(B) 62%
(C) 68%
(D) 70%
(E) 77%
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Re: The following graph shows the results of a survey taken in 14 markets [#permalink] New post   26 Nov 2023, 23:56
Sajjad1994 wrote:
Data Insights (DI) Butler 2023-24 [Question #82, Date: Oct-31-2023] [Click here for Details]


The following graph shows the results of a survey taken in 14 markets that inquired about subjects’ habit of reading the print version of a daily newspaper. Each point represents the percent of men and the percent of women in a particular market who indicated that they read the daily paper. The solid line is the line of best fit. The equation of this line is shown on the graph.

Attachment:
12.jpg


The line of best fit suggests that a 1% increase in the number of men who read the daily paper corresponds to a [Dropdown Placeholder #1] in the number of women who read the daily paper.

Based upon these data, in a market in which approximately 40% of men read the daily paper, we would expect about [Dropdown Placeholder #2] of women to read the daily paper.

Show SpoilerAdditional Question
Based upon these data, we would expect to find approximately 70% of women reading the daily paper in markets where ____________ of men do so.

(A) 58%
(B) 62%
(C) 68%
(D) 70%
(E) 77%

Ans: E


Question #1 based on the same graph is available here


Sajjad1994 - could you pls help to explain the answer to second question ?
I thought 1% increase in the number of men causing 1.1% increase in the number of women, hence if 40% of men are reading the paper, then around 45% of women are reading the paper.

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Re: The following graph shows the results of a survey taken in 14 markets [#permalink] New post   27 Nov 2023, 13:21
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Official Explanation

The line of best fit suggests that a 1% increase in the number of men who read the daily paper corresponds to a ________ in the number of women who read the daily paper.

The slope of the line of best fit is slightly more than 1. A positive slope represents a positive association, so as the percent of men who read the daily paper increases, the percent of women who do so increases as well. A slope of 1.1 indicates that each 1% increase in the percent of men will correspond to an increase of 1.1% of women.

Answer: C

Based upon these data, in a market in which approximately 40% of men read the daily paper, we would expect about ________ of women to read the daily paper.

Calculation using the equation of the line is possible, but reading the value directly from the line will allow a quicker estimate. From 40% on the horizontal axis, trace up to the line and then horizontally back to the vertical axis to a value between 20% and 30%. If you prefer to calculate, 1.1352 × 40% – 17.692% = 45.408% – 17.692% = 27.716%. Of the answer choices, the closest value is 25%.

Answer: C
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Re: The following graph shows the results of a survey taken in 14 markets [#permalink]
27 Nov 2023, 13:21
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