AnswersCMS 2026-2027 NC Math 1 CREDIT RECOVERYAnalyzing Residuals

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1
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Which is the residual value when x is equal to 2 ?

A
2
B
1
C
negative 2
D
negative 1
2
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Which represents the missing values of A and b ?

A
A is equal to 0 point 5 and b is equal to 6 point 0 8
B
A is equal to 0 point 5 and b is equal to negative 6 point 0 8
C
A is equal to 1 point 1 6 and b is equal to negative 0 point 1 2
D
A is equal to 1 point 1 6 and b is equal to 0 point 1 2
3

What does a residual value of negative 0 point 8 mean in reference to the line of best fit?

A
The line of best fit has a slope of 0 point 8 .
B
The given point is 0 point 8 units above the line of best fit.
C
The given point is 0 point 8 units below the line of best fit.
D
The line of best fit is not appropriate to the data.
4

Use the graphing calculator tool to plot the residual points. open paren 1 comma 0 point 8 6 close paren comma open paren 2 comma negative 0 point 2 5 close paren comma open paren 3 comma negative 1 point 6 6 close paren comma open paren 4 comma negative 2 point 3 4 close paren comma open paren 5 comma negative 4 point 1 close paren Does the residual plot show that the line of best fit is appropriate for the data?

A
Yes, the points have no pattern.
B
No, the points are in a linear pattern.
C
Yes, the points are evenly distributed about the x -axis.
D
No, the points are in a curved pattern.
5

Riva records the mass of various numbers of grapes in a bag. The line of best fit y=4.7⁢x+55 can be used to predict the mass, y , in grams, of a paper bag containing x grapes. Compute the residuals for the given numbers of grapes. Enter your answers in the boxes.

Answer:

Insufficient information: the grape counts and observed masses are not provided.

6

Which table of values represents the residual plot? Open image in full-screen view

A
Table with 4 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'Given'; Column 3, 'Predicted'; Column 4, 'Residual' Row 2: Column 1, '1'; Column 2, '2'; Column 3, '0 point 9 4'; Column 4, empty Row 3: Column 1, '2'; Column 2, '3 point 5'; Column 3, '2 point 4 1'; Column 4, empty Row 4: Column 1, '3'; Column 2, '4 point 7'; Column 3, '3 point 8 8'; Column 4, empty Row 5: Column 1, '4'; Column 2, '6 point 2'; Column 3, '5 point 3 5'; Column 4, empty Row 6: Column 1, '5'; Column 2, '8'; Column 3, '6 point 8 2'; Column 4, empty
B
Table with 4 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'Given'; Column 3, 'Predicted'; Column 4, 'Residual' Row 2: Column 1, '1'; Column 2, '2'; Column 3, '1 point 9 4'; Column 4, empty Row 3: Column 1, '2'; Column 2, '3 point 5'; Column 3, '3 point 4 1'; Column 4, empty Row 4: Column 1, '3'; Column 2, '4 point 7'; Column 3, '4 point 8 8'; Column 4, empty Row 5: Column 1, '4'; Column 2, '6 point 2'; Column 3, '6 point 3 5'; Column 4, empty Row 6: Column 1, '5'; Column 2, '8'; Column 3, '7 point 8 2'; Column 4, empty
C
Table with 4 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'Given'; Column 3, 'Predicted'; Column 4, 'Residual' Row 2: Column 1, '1'; Column 2, '2'; Column 3, 'negative 0 point 9 4'; Column 4, empty Row 3: Column 1, '2'; Column 2, '3 point 5'; Column 3, 'negative 2 point 4 1'; Column 4, empty Row 4: Column 1, '3'; Column 2, '4 point 7'; Column 3, 'negative 3 point 8 8'; Column 4, empty Row 5: Column 1, '4'; Column 2, '6 point 2'; Column 3, 'negative 5 point 3 5'; Column 4, empty Row 6: Column 1, '5'; Column 2, '8'; Column 3, 'negative 6 point 8 2'; Column 4, empty
D
Table with 4 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'Given'; Column 3, 'Predicted'; Column 4, 'Residual' Row 2: Column 1, '1'; Column 2, '2'; Column 3, 'negative 1 point 9 4'; Column 4, empty Row 3: Column 1, '2'; Column 2, '3 point 5'; Column 3, 'negative 3 point 4 1'; Column 4, empty Row 4: Column 1, '3'; Column 2, '4 point 7'; Column 3, 'negative 4 point 8 8'; Column 4, empty Row 5: Column 1, '4'; Column 2, '6 point 2'; Column 3, 'negative 6 point 3 5'; Column 4, empty Row 6: Column 1, '5'; Column 2, '8'; Column 3, 'negative 7 point 8 2'; Column 4, empty
7

Which residual plot shows that the line of best fit is a good model?

A
Image with description A scatter plot. The horizontal x axis and vertical y axis intersect at the origin, 0 comma 0. There are 12 diamond-shaped data points plotted on the plane. One point is located exactly at the origin 0 comma 0. Two points are located to the right of the y axis and just below the x axis in the fourth quadrant. The remaining 9 points are located to the right of the y axis and above the x axis in the first quadrant, forming a hill-like curve that rises and then falls back toward the x axis as they move further.
B
Image with description A scatter plot across the axes. The horizontal x axis and vertical y axis intersect at the origin, 0 comma 0. There are 11 diamond-shaped data points plotted on the plane. One point is located exactly at the origin 0 comma 0. Another point is located to the right of the y axis and just above the x axis in the first quadrant. The remaining 9 points are scattered to the right of the y axis and below the x axis in the fourth quadrant, showing a general downward pattern.
C
Image with description A scatter plot. The horizontal x axis and vertical y axis intersect at an unlabeled origin. There are 11 diamond-shaped data points plotted on the plane. One point is located exactly at the origin. Five points are located to the right of the y axis and above the x axis in the first quadrant. The remaining 5 points are located to the right of the y axis and below the x axis in the fourth quadrant. The points are scattered widely above and below the horizontal axis, showing no distinct pattern.
D
Image with description A scatter plot. The horizontal x axis and vertical y axis intersect at the origin, 0 comma 0. There are 12 diamond-shaped data points plotted on the plane. One point is located exactly at the origin 0 comma 0. Three points are located to the right of the y axis and just above the x axis in the first quadrant, with two near the origin and one near the far right. The remaining 8 points are located to the right of the y axis and below the x axis in the fourth quadrant, forming a valley-like curve that dips downward and then rises back toward the x axis.
8

What are the values of A and b ?

A
A is equal to negative 0 point 4 and b is equal to 0 point 1 5
B
A is equal to 8 point 6 and b is equal to 14 point 2 5
C
A is equal to 0 point 4 and b is equal to negative 0 point 1 5
D
A is equal to negative 8 point 6 and b is equal to negative 14 point 2 5
9

Which residual value is the farthest from the line of best fit?

A
2
B
8
C
0 point 1 9
D
0 point 7
10

Which point would be on the residual plot of the data?

A
open paren 2 comma 1 point 5 close paren
B
open paren 4 comma negative 0 point 6 close paren
C
open paren 1 comma negative 1 point 6 close paren
D
open paren 3 comma 4 point 5 close paren

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