AnswersDRHS GA-Statistical ReasoningR-squared and s

R-squared and s Answers

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Which of the following values could represent the value of r2 for this relationship?

A
r2 = ‒0.9646
B
r2 = ‒0.0354
C
r2 = 0.0354
D
r2 = 0.9646
2
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5

The value of r2 for a relationship between distance (in miles) and the cost (in dollars) of a shuttle bus from a hotel to an airport is calculated using computer software. Identify and interpret the value of r2 by completing the sentence. The value of r2 = tells us that about of the variation in the of a shuttle bus is accounted for by the linear relationship created with the of the shuttle bus.

Answers:
Selection 1:96.80%
Selection 2:97%
Selection 3:cost
Selection 4:distance (in miles)
6

The value of r2 for a relationship between gallons of gasoline used (explanatory) and the number of miles driven (response) by a certain car is calculated as 96.78%.Which of the following statements is the best interpretation of r2?

A
About 3.22% of the variation in the gallons of gasoline of the car is accounted for by the linear relationship created with the number of miles driven.
B
About 3.22% of the variation in the number of miles driven by the car is accounted for by the linear relationship created with the gallons of gasoline.
C
About 96.78% of the variation in the gallons of gasoline of the car is accounted for by the linear relationship created with the number of miles driven.
D
About 96.78% of the variation in the number of miles driven by the car is accounted for by the linear relationship created with the gallons of gasoline.
7

The value of s for a relationship between the number of hours and the number of gallons of water remaining in a tank is calculated using computer software. Identify and interpret the value of s by completing the sentence. The value of s = tells us that the average residual is about gallons.

Answers:
Selection 1:4.80079
Selection 2:gallons
Selection 3:5
8

The value of s for a relationship between number of seconds, x, and number of jumping jacks of an athlete, y, is calculated as 3.0725.Which of the following statements is the best interpretation of s?

A
The average residual is about 3.0725 seconds.
B
The average residual is about 3.0725 jumping jacks.
C
The average residual is about 0.0725 seconds.
D
The average residual is about 0.0725 jumping jacks.
9

Complete the sentence that describes the circled point. The circled point appears to be a(n) because it follow the pattern of the rest of the data and it has a residual. It also appears that the circled point an influential point on the slope of the regression line.

Answers:
Selection 1:outlier
Selection 2:does not
Selection 3:large
Selection 4:is
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substantially increases
B
substantially decreases
C
does not greatly change
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substantially increases
B
substantially decreases
C
does not greatly change
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substantially increases
B
substantially decreases
C
does not greatly change
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substantially increases
B
substantially decreases
C
does not greatly change
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