Question
In: Statistics and Probability
Add each of the following (X, Y) score pairs to the data in the table below....
Add each of the following (X, Y) score pairs to the data in the table below. (Add only the single data point in each part of this problem, so that there are always eight scores in the sample.) For each part, sketch a scatterplot of the data with the additional point included and compute the correlation between X and Y with the additional point included. Compare these correlations to the one you computed in section II question #1 above. Note how the correlation is affected by an extreme score.
-
a) (10, 10)
-
b) (10, -10) (Yes, the kid whose data were added in part b actually threw the discus in
the wrong direction, so that distance is negative.)
|
Distance jumped in feet (X) |
Distance of discus throw in feet (Y) |
|
3 |
1 |
|
1 |
3 |
|
4 |
5 |
|
1 |
1 |
|
3 |
4 |
|
5 |
1 |
|
1 |
2 |
Solutions
orchestra answered 2 years agoRelated Solutions
Consider the following data on x and y shown in the table below, x 2 4...
Consider the following data on x and y shown in the table
below,
x
2
4
7
10
12
15
18
20
21
25
y
5
10
12
22
25
27
39
50
47
65
Fit the model E(y)=β0+β1x to the data, and plot
the residuals versus x for the model on Minitab. Do you detect any
trends? If so, what does the pattern suggest about the model?
The following data on x = score on a measure of test anxiety and y =...
The following data on x = score on a measure of test
anxiety and y = exam score for a sample of n = 9
students are consistent with summary quantities given in a paper.
Higher values for x indicate higher levels of anxiety.
Compute the value of the correlation coefficient. (Give the answer
to four decimal places.)
r = ________
x
23
13
15
0
17
21
19
14
20
y
44
59
49
76
49
51
46
52...
(a) Suppose you are given the following x, y data pairs x 1 3 6 y...
(a) Suppose you are given the following x, y data pairs
x 1 3 6
y 5 5 8 Find the least-squares equation for these data. (Use 3
decimal places.) y hat = + x (b)
Now suppose you are given these x, y data pairs.
x 5 5 8
y 1 3 6
Find the least-squares equation for these data. (Use 3 decimal
places.) y hat = + x (c)
In the data for parts (a) and (b), did...
(a) Suppose you are given the following (x, y) data pairs. x 1 3 4 y...
(a) Suppose you are given the following (x, y)
data pairs.
x
1
3
4
y
4
3
7
Find the least-squares equation for these data (rounded to three
digits after the decimal).
ŷ = + x
(b) Now suppose you are given these (x, y) data
pairs.
x
4
3
7
y
1
3
4
Find the least-squares equation for these data (rounded to three
digits after the decimal).
ŷ = + x
(c) In the data for parts (a) and (b), did...
(a) Suppose you are given the following (x, y) data pairs. x 2 3 6 y...
(a) Suppose you are given the following (x, y)
data pairs.
x
2
3
6
y
4
3
9
Find the least-squares equation for these data (rounded to three
digits after the decimal).
ŷ = + x
(b) Now suppose you are given these (x, y) data
pairs.
x
4
3
9
y
2
3
6
Find the least-squares equation for these data (rounded to three
digits after the decimal).
ŷ = + x
(c) In the data for parts (a) and (b), did...
(a) Suppose you are given the following (x, y) data pairs. x 2 3 6 y...
(a) Suppose you are given the following (x, y) data pairs. x 2 3
6 y 4 3 9 Find the least-squares equation for these data (rounded
to three digits after the decimal). ŷ = (b) Now suppose you are
given these (x, y) data pairs. x 4 3 9 y 2 3 6 Find the
least-squares equation for these data (rounded to three digits
after the decimal). ŷ = d) Solve your answer from part (a) for x
(rounded...
(a) Suppose you are given the following (x, y) data pairs. x 1 2 5 y...
(a) Suppose you are given the following (x, y) data pairs. x 1 2
5 y 4 3 6 Find the least-squares equation for these data (rounded
to three digits after the decimal). ŷ = + x (b) Now suppose you are
given these (x, y) data pairs. x 4 3 6 y 1 2 5 Find the
least-squares equation for these data (rounded to three digits
after the decimal). ŷ = + x (c) In the data for parts...
for the quantitative variables x and y are given in the table below. These data are...
for the quantitative variables
x
and
y
are given in the table below. These data are plotted in the
scatter plot shown next to the table.
In the scatter plot, sketch an approximation of the
least-squares regression line for the data.
x
y
7.4
6.6
4.0
5.0
2.0
3.9
3.1
5.0
9.4
8.4
4.7
5.9
6.6
6.2
8.5
6.9
7.9
7.3
1.6
3.7
4.4
4.6
2.8
3.9
2.7
3.1
5.7
6.3
5.9
7.3
9.7
8.3
6.9
6.3
8.8
8.4
x...
The two data sets in the table below are dependent random samples. The population of (x−y)(x-y)...
The two data sets in the table below are dependent random
samples. The population of (x−y)(x-y) differences is approximately
normally distributed. A claim is made that the mean difference
(x−y)(x-y) is not equal to -23.5.
x
60
62
46
45
37
45
46
46
y
79
77
75
86
83
71
76
77
For each part below, enter only a numeric value
in the answer box. For example, do not type "z =" or
"t =" before your answers. Round...
The two data sets in the table below are dependent random samples. The population of (x−y)(x-y)...
The two data sets in the table below are dependent random
samples. The population of (x−y)(x-y) differences is approximately
normally distributed. A claim is made that the mean difference
(x−y)(x-y) is greater than 17.9.
x
67
79
68
52
56
78
78
78
y
30
50
32
49
31
51
37
35
For each part below, enter only a numeric value
in the answer box. For example, do not type "z =" or
"t =" before your answers. Round each...
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