Piecewise Defined Functions Answers

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4

A certain standardized test measures students’ knowledge in math and English. The scatterplot displays the scores for 10 randomly selected students.

Question illustration
A
is least able to make accurate predictions for the data.
B
makes the sum of the squared residuals as large as possible.
C
makes the sum of the squared residuals as small as possible.
D
causes the relationship between English scores and math scores to be strongest.
6

The arm span and foot length were measured (in centimeters) for each of the 19 students in a statistics class and displayed in the scatterplot. An analysis was completed and the computer output is shown. PredictorCoefSE Coeft-ratiopConstant-7.6112.5672.9650.046Arm span0.1860.0355.3770.000S = 1.61R-Sq = 63.0%R-Sq(Adj) = 62.7%

Question illustration
A
arm span, foot length will increase by about 0.186 cm.
B
foot length, arm span will increase by about 0.186 cm.
C
arm span, foot length is predicted to increase by about 0.186 cm.
D
foot length, arm span is predicted to increase by about 0.186 cm.
8

The scatterplot displays the number of pretzels students could grab with their dominant hand and their handspan, measured in centimeters. An analysis was completed and the computer output is shown. PredictorCoefSE Coeft-ratiopConstant-14.714.3171.6890.046Handspan1.5850.3105.1140.000S = 3.05R-Sq = 52.1%R-Sq(Adj) = 51.7%

Question illustration
A
pretzel, the handspan will increase by about 1.585 cm.
B
pretzel, the handspan is predicted to increase by about 1.585 cm.
C
centimeter in handspan, the number of pretzels increases by about 1.585.
D
centimeter in handspan, the number of pretzels is predicted to increase by about 1.585.
9

The arm span and foot length were measured (in centimeters) for each of the 19 students in a statistics class. The results are displayed in the scatterplot.

Question illustration
A
passes through each data point.
B
minimizes the sum of the squared residuals.
C
maximizes the sum of the squared residuals.
D
is least able to make accurate predictions for the data.

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