The graph below is a scatter plot with 30 points, each representing the per capita consumption, in pounds, in the United States of a particular dairy product during the years 1989 through 2003. The solid line is a regression line for the points representing the per capita consumption of ice cream (and other frozen dairy products). The dashed line is a regression line for the points representing the per capita consumption of cheese. Use the dropdown menus to fill in the blanks in each of the following statements based on the information given by the graph.Q.Based on the line of regression, the expected per capita consumption of ice cream in 2015 would be approximately pounds.a)21b)26c)31d)36e)41Correct answer is option 'B'. Can you explain this answer?

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The graph below is a scatter plot with 30 points, each representing the per capita consumption, in pounds, in the United States of a particular dairy product during the years 1989 through 2003. The solid line is a regression line for the points representing the per capita consumption of ice cream (and other frozen dairy products). The dashed line is a regression line for the points representing the per capita consumption of cheese. Use the dropdown menus to fill in the blanks in each of the following statements based on the information given by the graph.

Q. Based on the line of regression, the expected per capita consumption of ice cream in 2015 would be approximately pounds.

a)
21
b)
26
c)
31
d)
36
e)
41

Correct answer is option 'B'. Can you explain this answer?

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The graph below is a scatter plot with 30 points, each representing th...

The regression line for ice cream has a negative slope. The approximate slope of the regression line can be calculated by identifying two approximate points on the line, such as (1991, 29) and (1999, 28), and using the slope formula

to calculate that the slope is approximately -1/8. In other words, based on the regression line, the predicted per capita consumption of ice cream would decrease by 1 pound for every eight years that passes. Since 2015 is 16 years after 1999, the predicted per capita consumption would be 28 minus 2 pounds, or 26 pounds.

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