Question

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 9 8 11 9 10 13 6 4 12 7 5 y 7.24 7.08 13.32 7.2 7.47 8.99 5.84 5.23 8.55 6.61 5.62 Create a scatterplot of the data. Choose the correct graph below. A. 0510152025 0510152025xy 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: (9, 7); (8, 7); (11, 13.5); (9, 7); (10, 7.5); (13, 9); (6, 6); (4, 5); (12, 8.5); (7, 6.5); (5, 5.5). B. 0510152025 0510152025xy 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, 13.5); (5, 7.5); (6, 7); (7, 9); (8, 8.5); (9, 5.5); (9, 7); (10, 5); (11, 6); (12, 6.5); (13, 7). C. 0510152025 0510152025xy 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, 9); (7, 8); (13.5, 11); (7, 9); (7.5, 10); (9, 13); (6, 6); (5, 4); (8.5, 12); (6.5, 7); (5.5, 5). D. 0510152025 0510152025xy 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: (9, 6); (8, 7); (11, 5); (9, 9); (10, 6); (13, 7); (6, 14); (4, 8); (12, 7); (7, 9); (5, 7). Find the equation of the regression line. ModifyingAbove y with caret equalsnothingplusnothing x (Round the constant two decimal places as needed. Round the coefficient to three decimal places as needed.) Identify a characteristic of the data that is ignored by the regression line. A. There is no trend in the data. B. There is no characteristic of the data that is ignored by the regression line. C. The data has a pattern that is not a straight line. D. There is an influential point that strongly affects the graph of the regression line. Click to select your answer(s).

Answer #1

Following is the scatter plot:

Following table shows the calculations:

X | Y | X^2 | Y^2 | XY | |

9 | 7.24 | 81 | 52.4176 | 65.16 | |

8 | 7.08 | 64 | 50.1264 | 56.64 | |

11 | 13.32 | 121 | 177.4224 | 146.52 | |

9 | 7.2 | 81 | 51.84 | 64.8 | |

10 | 7.47 | 100 | 55.8009 | 74.7 | |

13 | 8.99 | 169 | 80.8201 | 116.87 | |

6 | 5.84 | 36 | 34.1056 | 35.04 | |

4 | 5.23 | 16 | 27.3529 | 20.92 | |

12 | 8.55 | 144 | 73.1025 | 102.6 | |

7 | 6.61 | 49 | 43.6921 | 46.27 | |

5 | 5.62 | 25 | 31.5844 | 28.1 | |

Total | 94 | 83.15 | 886 | 678.2649 | 757.62 |

Sample size: n=11

Now,

Slope of the regression equation is

and intercept of the equation will be

So the regression equation will be

y'=2.70+0.569*x

Correct option:

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

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
88
1111
99
1010
1414
55
44
1313
88
55
y
7.337.33
6.736.73
12.8612.86
6.786.78
7.467.46
8.978.97
6.216.21
5.515.51
8.178.17
6.566.56
5.95.9
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...

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
5
12
4
10
7
9
6
14
13
11
8
y
10.29
21.86
7.42
20.07
15.11
18.72
12.86
22.42
22.29
21.11
17.07
y^= _+_x?

4. 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
y
12
8.86
13
8.11
7
8.45
10
9.54
8
9.10
9
9.45
6
7.54
11
9.34
4
4.86
3
3.11
5
6.34
Ŷ=____+____x
(Round to two decimal places as needed.)
Create a scatterplot of the data.
Identify a characteristic of the data that is ignored by the
regression...

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
15
12
5
6
11
9
10
7
14
8
13
y
18.82
18.41
6.82
9.39
17.67
15.27
16.62
11.66
18.99
13.61
18.86
^
y = ___ +___x (Round to two decimal places as needed.

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
9
9
11
10
10
14
5
4
11
6
6
y
7.25
6.73
12.84
7.29
7.63
8.55
6.36
5.24
7.93
6.67
5.74
1.)Create a scatterplot of the data. Choose the correct graph
below.
2.)Find the equation of the regression line.
Identify a characteristic of the data that is ignored...

Use the given data set to complete parts? (a) through? (c)
below.? (Use alphaequals?0.05.) x 10 8 13 9 11 14 6 4 12 7 5 y 9.14
8.13 8.75 8.77 9.26 8.11 6.13 3.11 9.13 7.27 4.74 LOADING... Click
here to view a table of critical values for the correlation
coefficient. a. Construct a scatterplot. Choose the correct graph
below. A. 0 4 8 12 16 0 2 4 6 8 10 x y A scatterplot has a
horizontal...

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 66 99 44 1010 1111 77 55
88 1313 1414 1212 y 8.748.74 12.4012.40 4.914.91 13.0513.05
13.4413.44 10.2410.24 6.966.96 11.4511.45 13.3613.36 12.9112.91
13.5413.54

Use the given data set to complete parts (a) through (c)
below. (Use
alphaαequals=0.05.)
x
1010
88
1313
99
1111
1414
66
44
1212
77
55
y
7.467.46
6.766.76
12.7412.74
7.117.11
7.827.82
8.848.84
6.086.08
5.385.38
8.168.16
6.436.43
5.735.73
LOADING...
Click here to view a table of critical values for the
correlation coefficient.
a. Construct a scatterplot. Choose the correct graph below.
A.
04812160481216xy
A scatterplot has a horizontal x-scale from 0 to 16 in
increments of 2 and a vertical...

Find the equation of the regression line for the given data.
Then construct a scatter plot of the data and draw the regression
line. (The pair of variables have a significant correlation.)
Then use the regression equation to predict the value of y for each
of the given x-values, if meaningful. The number of hours 6
students spent for a test and their scores on that test are shown
below.
Hours spent studying, x
1
2
2
4
5
6...

Find the equation of the regression line for the given data.
Then construct a scatter plot of the data and draw the regression
line. (The pair of variables have a significant correlation.)
Then use the regression equation to predict the value of y for each
of the given x-values, if meaningful. The table below shows the
heights (in feet) and the number of stories of six notable
buildings in a city.
Height comma xHeight, x
768
628
518
511
491...

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