Question
In: Statistics and Probability
Annual high temperatures in a certain location have been tracked for several years. Let XX represent...
Annual high temperatures in a certain location have been tracked
for several years. Let XX represent the year and YY the high
temperature. Based on the data shown below, calculate the
correlation coefficient (to three decimal places) between XX and
YY. Use your calculator!
| x | y |
|---|---|
| 4 | 18.52 |
| 5 | 20.9 |
| 6 | 20.58 |
| 7 | 23.36 |
| 8 | 26.94 |
| 9 | 28.52 |
| 10 | 32.4 |
| 11 | 35.18 |
| 12 | 37.76 |
| 13 | 39.24 |
| 14 | 43.52 |
| 15 | 44.4 |
| 16 | 47.08 |
| 17 | 50.86 |
r=
Solutions
Expert Solution
n = 14
| x | y | x*y |  |
 |
|
| 4 | 18.52 | 74.08 | 16 | 342.9904 | |
| 5 | 20.9 | 104.5 | 25 | 436.81 | |
| 6 | 20.58 | 123.48 | 36 | 423.5364 | |
| 7 | 23.36 | 163.52 | 49 | 545.6896 | |
| 8 | 26.94 | 215.52 | 64 | 725.7636 | |
| 9 | 28.52 | 256.68 | 81 | 813.3904 | |
| 10 | 32.4 | 324 | 100 | 1049.76 | |
| 11 | 35.18 | 386.98 | 121 | 1237.632 | |
| 12 | 37.76 | 453.12 | 144 | 1425.818 | |
| 13 | 39.24 | 510.12 | 169 | 1539.778 | |
| 14 | 43.52 | 609.28 | 196 | 1893.99 | |
| 15 | 44.4 | 666 | 225 | 1971.36 | |
| 16 | 47.08 | 753.28 | 256 | 2216.526 | |
| 17 | 50.86 | 864.62 | 289 | 2586.74 | |
| Total | 147 | 469.26 | 5505.18 | 1771 | 17209.78 |
Correlation coefficient (r) :
(Round to 4 decimal)
Correlatin coefficient = r = 0.9957
orchestra answered 1 year agoRelated Solutions
Annual high temperatures in a certain location have been tracked for several years. Let XX represent...
Annual high temperatures in a certain location have been tracked
for several years. Let XX represent the year and YY the high
temperature. Based on the data shown below, calculate the
correlation coefficient (to three decimal places) between XX and
YY. Use your calculator!
x
y
1
20.7
2
19.6
3
21.9
4
24.1
5
24.2
6
26.8
7
24.1
8
28.2
9
27.2
10
30.5
r=______
Annual high temperatures in a certain location have been tracked for several years. Let XX represent...
Annual high temperatures in a certain location have been tracked
for several years. Let XX represent the year and YY the high
temperature. Based on the data shown below, calculate the
regression line (each value to two decimal places).
y = x +
x
y
5
27.1
6
26.18
7
31.16
8
31.14
9
32.42
10
36.6
11
37.28
12
39.46
13
41.84
14
44.42
15
44.4
2. Annual high temperatures in a certain location have been tracked for several years. Let XX...
2. Annual high temperatures in a certain location have been
tracked for several years. Let XX represent the year and YY the
high temperature. Based on the data shown below, calculate the
regression line (each value to two decimal places).
Y = ____ x + _____
x
y
3
12.12
4
17.26
5
16.3
6
21.04
7
20.98
8
24.52
4. Annual high temperatures in a certain location have been
tracked for several years. Let XX represent the year and...
Annual high temperatures in a certain location have been tracked for several years. Let X represent...
Annual high temperatures in a certain location have been tracked
for several years. Let X represent the number of years after 2000
and Y the high temperature. Based on the data shown below,
calculate the linear regression equation using technology (each
constant to 2 decimal places).
x
y
2
34.82
3
33.28
4
34.84
5
35.1
6
33.26
7
35.42
8
34.18
9
34.54
10
34.4
11
35.86
12
35.12
13
37.88
The equation is?
Interpret the slope
For each...
Annual high temperatures in a certain location have been tracked for several years. Let X represent...
Annual high temperatures in a certain location have been tracked
for several years. Let X represent the year and Y the high
temperature. At the 0.01 significance level, does the data below
show significant (linear) correlation between X and Y?
x
y
5
36.63
6
35.9
7
35.77
8
38.64
9
30.51
10
29.68
11
30.35
12
21.42
13
19.99
14
18.26
15
12.03
16
15.8
Yes, significant correlation
No
Annual high temperatures in a certain location have been tracked for several years. Let X represent...
Annual high temperatures in a certain location have been tracked
for several years. Let X represent the number of years after 2000
and Y the high temperature. Based on the data shown below,
calculate the linear regression equation using technology (each
constant to 2 decimal places). x y 3 35.01 4 35.38 5 37.75 6 36.12
7 36.49 8 40.16 9 38.93 10 39.7 11 42.77 12 43.24 13 42.11 14 44.08
The equation is ˆ y = x +...
1)Annual high temperatures in a certain location have been tracked for several years. Let X represent...
1)Annual high temperatures in a certain location have been
tracked for several years. Let X represent the year and Y the high
temperature. Based on the data shown below, calculate the
regression line (each value to two decimal places).
y = _____________ x + ________________
x
y
3
10.42
4
10.96
5
13.8
6
17.14
7
16.98
8
21.22
9
23.96
10
23.9
11
27.14
12
30.28
13
30.22
14
34.06
15
37.1
16
36.74
17
41.08
18
41.62
2)...
Annual high temperatures in a certain location have been tracked for a sample of 13 years....
Annual high temperatures in a certain location have been tracked
for a sample of 13 years. Let X represent the year and Y the high
temperature (in C∘).
Years
Temperature in C∘C∘
2
9.5
3
9.35
4
11.2
5
11.35
6
10.6
7
12.95
8
13.7
9
13.45
10
12.2
11
12.65
12
15.9
13
15.55
14
14.3
1) Calculate the correlation coefficient. (Round to three
decimal places.)
r=
Let's test the significance of the correlation
coefficient at α=0.05 significance...
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