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Chapter 3: Q T3.10. (page 202)

A data set included the number of people per television set and the number of people per physician for 40 countries. The Fathom screenshot below displays a scatterplot of the data with the least-squares regression line added. In Ethiopia, there were 503 people per TV and 36,660 people per doctor. What effect would remove this point have on the regression line?

(a) Slope would increase; y intercept would increase.

(b) Slope would increase; y intercept would decrease.

(c) Slope would decrease; y intercept would increase.

(d) Slope would decrease;y intercept would decrease.

(e) Slope and y intercept would stay the same.

Short Answer

Expert verified

The correct option is (c) Slope would decrease; y intercept would increase.

Step by step solution

01

Given information

02

Concept

A regression line is a straight line that depicts the relationship between an explanatory variable x and a response variable y By entering any value of x into the equation of the line, you may use a regression line to anticipate the value of y for any value of x

03

Explanation

The scatterplot's point(503,36660) is in the upper right corner. If this point is removed from the data set, the regression line will be shifted to the right, lowering the slope. The line will likewise rise on the left side, increasing the y-intercept.

Therefore, Slope would decrease; y intercept would increase

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Most popular questions from this chapter

The scatterplots below show four sets of real data:

(a) repeats the manatee plot in Figures

(b) shows the number of named tropical storms and the number predicted before the start of hurricane season each year between 1984and 2007by William Gray of Colorado State University;

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(a)

(b)

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If we leave out the low outlier, the correlation for the remaining 13 points in the figure above is closest to

(a)鈭�0.95.(b) 鈭�0.5.

(c)0. (d) 0.5 (e)0.95.

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