The following graph is a scatter plot with 64 points, each representin

Question

The following graph is a scatter plot with 64 points, each representing the number of publication subscriptions per month received by 64 households in a focus group and the corresponding annual income for each household. The annual income, measured in thousands of dollars, was reported for the tax year immediately before the focus group was held. The solid line is the regression line, and the dashed line is the line through the points (1, $100,000) and (8, $75,000). Select the best answer to fill in the blanks for each of the following statements, based on the data shown in the graph.

Attachment:

5.jpg

(1) The number of households receiving more than 6 subscriptions a month is closest to x % of 64.
For answering this question, look at the number of points ahead(right) of line depicting 6 subscriptions.
There are 6 dots, so 6 households have more than 6 subscriptions, or 6/64 ~ 10%. x=10%

(2) The slope of the regression line is __ the slope of the dashed line.
A line parallel to x-axis has zero slope, and when both x and y have direct relationship, that is x increases with y, slope is positive, else negative
Regression line: x increase as y increases, thus positive.
Dashed line: y decreases as x increases, thus negative.
Hence, slope of regressed line is more.

(3) The relationship between the number of subscriptions and annual income is ________.
The regressed line gives the relation. It has a positive slop, so positively related.

Hope it helps

horrorslive · Answer

@Sajjid1994 can you please provide the official explanation for the qs, also for the bonus hidden qs

033 · Answer

could you please share the official explanation for this one along with the additional question explanation

chetan2u · Answer

The following graph is a scatter plot with 64 points, each representing the number of publication subscriptions per month received by 64 households in a focus group and the corresponding annual income for each household. The annual income, measured in thousands of dollars, was reported for the tax year immediately before the focus group was held. The solid line is the regression line, and the dashed line is the line through the points (1, $100,000) and (8, $75,000). Select the best answer to fill in the blanks for each of the following statements, based on the data shown in the graph.

Attachment:

5.jpg

(1) The number of households receiving more than 6 subscriptions a month is closest to x % of 64.
For answering this question, look at the number of points ahead(right) of line depicting 6 subscriptions.
There are 6 dots, so 6 households have more than 6 subscriptions, or 6/64 ~ 10%. x=10%

(2) The slope of the regression line is __ the slope of the dashed line.
A line parallel to x-axis has zero slope, and when both x and y have direct relationship, that is x increases with y, slope is positive, else negative
Regression line: x increase as y increases, thus positive.
Dashed line: y decreases as x increases, thus negative.
Hence, slope of regressed line is more.

(3) The relationship between the number of subscriptions and annual income is ________.
The regressed line gives the relation. It has a positive slop, so positively related.

Hope it helps

Sajjad1994 · Answer

Official Explanation

The number of households receiving more than 6 subscriptions a month is about 6, which is closest to 10% of 64.

The answer to the first question is C.

The slope of the regression line is positive and the slope of the dashed line is negative, so the slope of the regression line is greater.

The answer to the second question is B.

As income increases, subscriptions increase, so the relationship between the two is positive.

The answer to the third question is C.

bumpbot · Answer

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The following graph is a scatter plot with 64 points, each representin

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