Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line.

x

1010

77

1212

1010

1212

1313

55

44

1111

66

55   y

7.387.38

6.966.96

13.1513.15

7.247.24

7.797.79

9.249.24

5.815.81

5.465.46

8.178.17

6.576.57

5.715.71

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Part 1

Create a scatterplot of the data. Choose the correct graph below.

A.

05101520250510152025xy

A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (7.5, 10); (7, 7); (13, 12); (7, 10); (8, 12); (9, 13); (6, 5); (5.5, 4); (8, 11); (6.5, 6); (5.5, 5).

B.

05101520250510152025xy

A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (10, 9); (7, 7); (12, 7); (10, 6); (12, 7); (13, 8); (5, 8); (4, 8); (11, 6); (6, 6); (5, 13).

C.

05101520250510152025xy

A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (10, 7.5); (7, 7); (12, 13); (10, 7); (12, 8); (13, 9); (5, 6); (4, 5.5); (11, 8); (6, 6.5); (5, 5.5).

D.

05101520250510152025xy

A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (4, 6.5); (5, 7); (5, 8); (6, 13); (7, 7); (10, 8); (10, 9); (11, 6); (12, 5.5); (12, 5.5); (13, 7.5).

Part 2

Find the equation of the regression line.

ModifyingAbove y with caretyequals=enter your response hereplus+enter your response herex

​(Round the​ y-intercept two decimal places as needed. Round the slope to three decimal places as​ needed.)

Part 3

Identify a characteristic of the data that is ignored by the regression line.

A.

The data has a pattern that is not a straight line.

B.

There is no characteristic of the data that is ignored by the regression line.

C.

There is an influential point that strongly affects the graph of the regression line.

D.

There is no trend in the data.