AnswersStatistics and ProbabilitySimple Linear Regression

Practice Test Answers

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Which scatterplot represents the data?

A
Image with description A scatter plot titled Volume and Freezing Time shows Volume (milliliters) on the x-axis and Freezing time (hours) on the y-axis. The points show an upward trend.
B
Image with description A scatter plot titled Volume and Freezing Time shows numbers 38 to 56 on the x-axis and numbers 0.6 to 2.2 on the y-axis. The points show an upward trend.
C
Image with description A scatter plot titled Freezing time (hours) 0.6 to 2.2 on the x-axis and Volume and Freezing Time shows Volume (milliliters) 38 to 56 on the y-axis. The points show an upward trend.
D
Image with description A scatter plot titled Volume and Freezing Time shows Volume (milliliters) 38 to 56 on the x-axis and Freezing time (hours) 0.6 to 2.2 on the y-axis. The points show an upward trend.
4
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The equation of the line hat y is equal to negative 14 point 7 plus 1 point 5 9 x is called the least-squares regression line because it

A
is least able to make accurate predictions for the data.
B
passes through each data point.
C
maximizes the sum of the squared vertical distances from the points to the line.
D
minimizes the sum of the squared vertical distances from the points to the line.
5

The equation of the least-squares regression line is hat y is equal to negative 51 point 0 plus 1 point 4 4 x , where hat y is the time (in minutes) to finish the second half of the race and x is the time (in minutes) to finish the first half. Which shows the residual plot?

A
Image with description A dot plot with the x axis titled First-Half Times in Minutes begins with 105 and ends at 140 with equal intervals of 5, such as 105, 110, 115, 120, 125, 130, 135, and 140. The y axis titled Residual begins with negative 20 and ends at 20 with equal intervals of 5, such as negative 20, negative 15, negative 10, negative 5, 0, 5, 10, 15, and 20. A horizontal line parallel to the x axis starts from the point where y is 0. There is a dot at approximately 105, negative 11; a dot at 115, 7; a dot at 115, negative 2; a dot at 120, 16; a dot at 123, negative 7; a dot at 123, 3; a dot at 127, 5; a dot at 130, 7; a dot at 133, negative 20; and a dot at 138, 4.
B
Image with description A dot plot with the x axis titled First-Half Times in Minutes begins with 105 and ends at 140 with equal intervals of 5, such as 105, 110, 115, 120, 125, 130, 135, and 140. The y axis titled Residual begins with negative 30 and ends at 40 with equal intervals of 10, such as negative 30, negative 20, negative 10, 0, 10, 20, 30, and 40. A horizontal line parallel to the x axis starts from the point where y is 0. There is a dot at approximately 105, 11; a dot at 105, 35; a dot at 113, 5; a dot at 113, 15; a dot at 120, negative 11; a dot at 123, negative 3; a dot at 123, 4; a dot at 127, negative 12; a dot at 130, negative 18; and a dot at 137, negative 25.
C
Image with description A dot plot with the x axis titled First-Half Times in Minutes begins with 105 and ends at 140 with equal intervals of 5, such as 105, 110, 115, 120, 125, 130, 135, and 140. The y axis titled Residual begins with negative 40 and ends at 30 with equal intervals of 10, such as negative 40, negative 30, negative 20, negative 10, 0, 10, 20, and 30. A horizontal line parallel to the x axis starts from the point where y is 0. There is a dot at approximately 105, negative 35, a dot at 115, negative 15; a dot at 115, negative 5; a dot at 120, 12; a dot at 123, negative 5; a dot at 123, 5; a dot at 127, 12; a dot at 130, 18; a dot at 133, negative 5; and a dot at 138, 25.
D
Image with description A dot plot with the x axis titled First-Half Times in Minutes begins with 105 and ends at 140 with equal intervals of 5, such as 105, 110, 115, 120, 125, 130, 135, and 140. The y axis titled Residual begins with negative 20 and ends at 20 with equal intervals of 5, such as negative 20, negative 15, negative 10, negative 5, 0, 5, 10, 15, and 20. A horizontal line parallel to the x axis starts from the point where y is 0. There is a dot at approximately 105, 11; a dot at 115, negative 7; a dot at 115, 2; a dot at 120, negative 16; a dot at 123, 7; a dot at 123, negative 3; a dot at 127, negative 5; a dot at 130, negative 7; a dot at 133, 20; and a dot at 138, negative 4.
8

The length (in inches) and weight (in ounces) for a type of bass were measured for a random sample of 10 bass from a lake. These measurements were then analyzed and the results are given in the computer output. Open image in full-screen view Which of the following represents the average distance between the actual weight and the predicted weight of the bass?

A
24 point 8 7
B
3 point 7 7 1
C
1 point 8 0
D
13 point 6 1 0
11

Which of the following best describes the relationship between the variables in the scatterplot?

A
Those with higher 200 -meter times tend to have longer javelin distances. The relationship is strong.
B
Those with lower 200 -meter times tend to have longer javelin distances. The relationship is strong.
C
Those with lower 200 -meter times tend to have longer javelin distances. The relationship is moderate.
D
Those with higher 200 -meter times tend to have longer javelin distances. The relationship is moderate.
12

Which of these statements best describes the relationship between the variables shown in the scatterplot?

A
There is little association between number of beds and lengths of stay.
B
There is a positive relationship between number of beds and lengths of stay.
C
A short stay (under two days) is equally likely for smaller and larger hospitals.
D
There is a negative relationship between number of beds and lengths of stay.

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