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6.10 Quiz: Least Squares Regression

QUIZ:

Least Squares Regression

Reading

Calculator

x

y

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Which equation of the least squares regression line most closely

matches the data set?

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0 g = 2.3x+97.9

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0 g = 0.09 111.5

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O y = –10.12 + 118.8

O y = -0.313 + 37.3

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B 6.10 Quiz Least Square: X

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6.10 Quiz: Least Squares Regression

Calculator

The equation = 0.3418x + 14.3818 models the fuel economy of a car, in mpg, where x is the car’s speed in mph.

According to the regression equation, what is the approximate fuel economy for this vehicle at 65 mph?

O about 22 mpg

O about 37 mpg

O about 46 mpg

about 49 mpg

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B 6.10 Quiz Least Square: X+ V

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6.10 Quiz: Least Squares Regression

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A group of vendors in a city determines that the equation y

each day, where x is the day’s high temperature in °F.

11.9842 + 15.341 models the total number of shorts they will sell

What does the slope of the equation represent in context of the situation?

The vendors will sell an additional 15 pairs of shorts for every 1° increase in temperature.

O The vendors will sell an additional pairs of shorts for every 15° increase in temperature.

The vendors will sell an additional pairs of shorts for every 12° increase in temperature.

O The vendors will sell an additional 12 pairs of shorts for every 1° increase in temperature.

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B 6.10 Quiz Least Square: x

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6.10 Quiz: Least Squares Regression

The equation ý = 459.678x + 1588.906 models the weekly profit of a business, in dollars, where x is the number of radio

advertisements they air.

What does the y-intercept of the equation represent in context of the situation?

O Without any radio advertising, the weekly profit would be about $460.

O The cost of a radio advertisement is about $1600.

0 The cost of a radio advertisement is about $460.

O Without any radio advertising, the weekly profit would be about $1600

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