The equation of the least-squares regression line is hat y is equal to 68 point 5 plus 11 point 4 x , where hat y is the number of students enrolled and x is number of years the school has been open. Which shows the residual plot?
Answer
A
Image with description A dot plot with the x axis titled Number of years begins with 0 and ends at 8 with equal intervals of 2, such as 0, 2, 4, 6, and 8. The y axis titled Residual begins with negative 20 and ends at 15 with equal intervals of 5, such as negative 20, negative 15, negative 10, negative 5, 0, 5, 10, and 15. A horizontal line parallel to the x axis starts from the point where y is 0. There is 1 dot at approximately 1, negative 12; 1 dot at 2, negative 3; 1 dot at 3, 3; 1 dot at 4, 10; 1 dot at 5, 12; 1 dot at 6, 6, 1 dot at 7, 1; and 1 dot at 8, -16.
B
Image with description A dot plot with the x axis titled Number of years begins with 0 and ends at 8 with equal intervals of 2, such as 0, 2, 4, 6, and 8. The y axis titled Residual begins with negative 15 and ends at 20 with equal intervals of 5, such as 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 1 dot at approximately 1, 12; 1 dot at 2, 3; 1 dot at 3, negative 3; 1 dot at 4, negative 10; 1 dot at 5,negative 12; 1 dot at 6, negative 6, 1 dot at 7, negative 1; and 1 dot at 8, 16.
C
Image with description A dot plot with the x axis titled Number of years begins with 0 and ends at 8 with equal intervals of 2, such as 0, 2, 4, 6, and 8. The y axis titled Residual begins with negative 80 and ends at 20 with equal intervals of 20, such as negative 80, negative 60, negative 40, negative 20, 0, and 20. A horizontal line parallel to the x axis starts from the point where y is 0. There is 1 dot at approximately 1, 18; 1 dot at 2, 16; 1 dot at 3, 10; 1 dot at 4, 5; 1 dot at 5, negative 2; 1 dot at 6, negative 22, 1 dot at 7, negative 39; and 1 dot at 8, negative 70.
D
Image with description A dot plot with the x axis titled Number of years begins with 0 and ends at 8 with equal intervals of 2, such as 0, 2, 4, 6, and 8. The y axis titled Residual begins with negative 20 and ends at 80 with equal intervals of 20, such as negative 20, 0, 20, 40, 60, and 80. A horizontal line parallel to the x axis starts from the point where y is 0. There is 1 dot at approximately 1, negative 18; 1 dot at 2, negative 16; 1 dot at 3, negative 10; 1 dot at 4, negative 5; 1 dot at 5, 5; 1 dot at 6, 22, 1 dot at 7, 38, and 1 dot at 8, 75.