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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

Data on dating A student wonders if tall women tend to date taller men than do short women. She measures herself, her dormitory roommate, and the women in the adjoining rooms. Then she measures the next man each woman dates. Here are the data (heights in inches):

(a) Make a scatterplot of these data. Based on the scatterplot, do you expect the correlation to be positive or negative? Near ±1or not?

(b) Find the correlation r step-by-step. First, find the mean and standard deviation of each variable. Then find the six standardized values for each variable. Finally, use the formula for r. Do the data show that taller women tend to date taller men?

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(d) What’s the correlation between car age and mileage? Interpret this value in context.

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Does social rejection hurt? Exercise 14 (page 160) gives data from a study that shows that social exclusion causes “real pain.” That is, activity in an area of the brain that responds to physical pain goes up as distress from social exclusion goes up. A scatterplot shows a moderately strong, linear relationship. The figure below shows the Minitab regression output for these data.

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