Question

The following bivariate data set contains an outlier.

x | y |
---|---|

76.1 | 1194.8 |

67.6 | 1146.3 |

57.4 | 1189.2 |

61.8 | -4184.5 |

86.7 | 280.8 |

71.5 | -1445.2 |

74.1 | 325.8 |

75.3 | 955.7 |

70.5 | 399.8 |

52.4 | -1084.3 |

70.5 | 2936.8 |

54.2 | 2258.3 |

62.9 | 1020 |

52.5 | -80 |

189.6 | -25548.4 |

What is the correlation coefficient **with** the
outlier?

*r*_{w} =

What is the correlation coefficient **without** the
outlier?

please explain in ti-84 terms

Answer #1

Using TI 84 calculator

first, add the data sets in L1 and L2 list (STAT>EDIT>press enter)

Now, press 2nd then CATALOG then select Diagnostic on, press enter

it will show "DONE"

then press stat calc and select LinReg(ax+b)

select L1 and L2 data set

press calculate

**we get r = -0.9177 (with outlier)**

Again, go to L1 and L2 and remove the outlier

then

press 2nd then CATALOG then select Diagnostic on, press enter

it will show "DONE"

then press stat calc and select LinReg(ax+b)

select L1 and L2 data set

press calculate

**we get r = 0.1228 (without outlier)**

The following bivariate data set contains an outlier.
x
y
1.3
1400.5
49.2
1721.2
21.2
-1741.3
39.2
-2744.6
10.6
983
35
-2272.2
-29.2
389.7
36.4
-144.6
31.1
-680.3
17.6
-451
-22
-1490.3
38.9
-2441.5
22
-1419.7
31.8
549.3
284.4
15118.6
What is the correlation coefficient with the
outlier?
rw =
(Round to three decimal places)
What is the correlation coefficient without the
outlier?
rwo =
(Round to three decimal places)

The following bivariate data set contains an outlier.
x
y
39.2
1164.4
41.4
1016.4
33.1
-246.6
16.3
2630.6
44.1
1415.7
27.4
-60.4
34.6
-1089.7
30.9
-177
32.6
-5249.5
33.3
-659.9
60.1
1159.9
48.5
698.2
44.3
-308.8
37.8
-2586.1
191.5
1500.2
What is the correlation coefficient with the
outlier?
rw = [Round your answer to
three decimal places.]
What is the correlation coefficient without the
outlier?
rwo = [Round your answer to
three decimal places.]

Question 1:
The following bivariate data set contains an outlier.
x
y
51.7
82.9
51.3
75
52.5
71.4
52.5
74.2
43.6
66.6
37.1
81.8
52.8
63.4
58.4
59.8
61.7
49
35.9
79.9
62.7
76.6
43.4
69.3
35.5
86.9
50.6
57.3
144.3
200.6
What is the correlation coefficient with the
outlier?
rw =
What is the correlation coefficient without the
outlier?
rwo =
Would inclusion of the outlier change the evidence for or against a
significant linear correlation at 5% significance?...

Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
16.1
47.3
10.6
42.8
22.4
50.6
33.3
67.6
47.8
61.1
41.4
62.1
30.2
57.9
30.6
53.6
33
57.4
9.7
41.2
19.3
49.6
Verify that the correlation is significant at an α=0.05. If the
correlation is indeed significant, predict what value (on average)
for the explanatory variable will give you a value of 54 on the
response variable.
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Here is a bivariate data set.
x
y
50
-36
17
129
39
58
19
91
31
84
45
22
18
80
30
92
8
175
Find the correlation coefficient and report it accurate to four
decimal places.
r =

Here is a bivariate data set.
x
y
49.4
28
38.2
62.8
56.6
120.2
77.9
122.1
58.3
104.8
75.6
117.4
45.7
24
59.5
4.7
31.1
34.4
46.7
73
70.9
107.7
82.2
202.6
52.5
140.7
46.2
87.6
Find the correlation coefficient and report it accurate to three
decimal places.
r =

Given the following sample data set.
X= 2 3 5 6 6
Y= 10 9 7 4 2
a. Draw a scatter diagram of the data. (using Ti 84)
b. Compute the correlation coefficient r. Then use 0.05
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Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
31
131.5
32.7
88.1
45.9
52.1
51.8
47
65.8
30.1
58.4
36.4
84.5
-92.1
25.3
103.4
49.8
37.5
4.6
127.3
46.6
32.1
75.2
-12.4
Find the correlation coefficient and report it accurate to three
decimal places.
r =
What proportion of the variation in y can be explained by
the variation in the values of x? Report answer as a
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with y as the response variable.
x
y
69
25.6
87.1
99.4
80.3
77.2
100.4
148
38.1
4.6
99.7
116.2
82.7
74.6
98
100.3
78.5
65.9
93.4
117.5
82.7
106.4
85
52.3
Find the correlation coefficient and report it accurate to three
decimal places.
r =
What proportion of the variation in y can be explained by
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with y as the response variable.
x
y
48
41.8
39.2
67.4
34.7
68.4
42.9
50.2
49
50.6
45.6
57
58.7
29.7
40.5
68.4
47.4
34.7
45.7
50.9
38.9
47.7
40.9
53.6
Find the correlation coefficient and report it accurate to three
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r =
What proportion of the variation in y can be explained by
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percentage...

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