4
QuizMultiple Choice

Residuals — Quiz

Question 4 • Statistical Reasoning

The equation of the least-squares regression line is hat y is equal to 19 point 2 minus 0 point 8 6 8 x , where hat y is the price of the vehicle (in thousands of dollars) and x is the age (in years). Which shows the residual plot?

Answer
A
Image with description A dot plot with the x axis titled Age in Years begins with 0 and ends at 16 with equal intervals of 2, such as 0, 2, 4, 6, 8, 10, 12, 14, and 16. The y axis titled Residual begins with negative 6 and ends at 6 with equal intervals of 2, such as negative 6, negative 4, negative 2, 0, 2, 4, and 6. A horizontal line parallel to the x axis starts from the point where y is 0. There is a dot at approximately 3, 5; a dot at 4, 3; a dot at 5, 0; a dot at 5, 3; a dot at 7, negative 1; a dot at 10, negative 3; and a dot at 15, negative 6.
B
Image with description A dot plot with the x axis titled Age in Years begins with 0 and ends at 16 with equal intervals of 2, such as 0, 2, 4, 6, 8, 10, 12, 14, and 16. The y axis titled Residual begins with negative 6 and ends at 8 with equal intervals of 2, such as negative 6, negative 4, negative 2, 0, 2, 4, 6, and 8. A horizontal line parallel to the x axis starts from the point where y is 0. There is a dot at approximately 3, negative 5; a dot at 4, negative 3; a dot at 5, 0; a dot at 5, negative 3; a dot at 7, 1; a dot at 10, 3; and a dot at 15, 6.
C
Image with description A dot plot with the x axis titled Age in Years begins with 0 and ends at 16 with equal intervals of 2, such as 0, 2, 4, 6, 8, 10, 12, 14, and 16. The y axis titled Residual begins with negative 1 point 5 and ends at 2 point 0 with equal intervals of 0 point 5, such as negative 1 point 5, negative 1 point 0, negative 0 point 5, 0, 0 point 5, 1 point 0, 1 point 5, and 2 point 0. A horizontal line parallel to the x axis starts from the point where y is 0. There is a dot at approximately 3, negative 1 point 4; a dot at 4, negative 0 point 25; a dot at 5, 1 point 75; a dot at 5, negative 1 point 2; a dot at 7, 1 point 2; a dot at 10, 0 point 5; and a dot at 15, negative 0 point 8.
D
Image with description A dot plot with the x axis titled Age in Years begins with 0 and ends at 16 with equal intervals of 2, such as 0, 2, 4, 6, 8, 10, 12, 14, and 16. The y axis titled Residual begins with negative 2 point 0 and ends at 1 point 5 with equal intervals of 0 point 5, such as negative 2 point 0, negative 1 point 5, negative 1 point 0, negative 0 point 5, 0, 0 point 5, 1 point 0, and 1 point 5. A horizontal line parallel to the x axis starts from the point where y is 0. There is a dot at approximately 3, 1 point 4; a dot at 4, 0 point 25; a dot at 5, negative 1 point 75; a dot at 5, 1 point 2; a dot at 7, negative 1 point 2; a dot at 10, negative 0 point 5; and a dot at 15, 0 point 8.
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