Look at the data below regarding the variables x = lowest barometric pressure as a cyclone approaches and y = maximum wind speed of the cyclone. Is the value of |r| large enough to conclude that lowest barometric pressure and wind speed of a cyclone are correlated? Use ? = 0.01. (Round your answer for r to four decimal places.)
Look at the data below regarding the variables x = lowest barometric pressure as a cyclone approaches and y = maximum wind speed of the cyclone. Is the value of |r| large enough to conclude that lowest barometric pressure and wind speed of a cyclone are correlated? Use ? = 0.01. (Round your answer for r to four decimal places.)
Look at the data below regarding the variables x = lowest barometric pressure as a cyclone approaches and y = maximum wind speed of the cyclone. Is the value of |r| large enough to conclude that lowest barometric pressure and wind speed of a cyclone are correlated? Use ? = 0.01. (Round your answer for r to four decimal places.)
Look at the data below regarding the variables x = lowest barometric pressure as a cyclone approaches and y = maximum wind speed of the cyclone. Is the value of |r| large enough to conclude that lowest barometric pressure and wind speed of a cyclone are correlated? Use ? = 0.01. (Round your answer for r to four decimal places.)
x 1004 975 992 935 970 928 y 40 100 65 145 70 151 r = ______ critical r = ______
Transcribed Image Text:The correlation coefficient r is a sample statistic. What does it tell us about the value of the population correlation coefficient p (Greek letter rho)? You do not know haow to build
the formal structure of hypothesis tests of p yet. However, there is a quick way to determine if the sample evidence based on a is strong enough to conclude that there is some
population correlation between the variables. In other words, we can use the value of r to determine ifp0. We do this by comparing the value Ir to an entry in the
correlation table. The value of a in the table gives us the prebability of concluding that pO when, in fact, and there is no population correlation. We have two choices
for a a 0.05 or a 0.01.
Cal Valas fer Coma Cdet
00s 00
0.0
1.00
100
13
23
041
ass
095
099
14
0.66
24
040
I5
044
25
092
16
050
061
26
a50
0.75
17
048
0.1
27
049
071
OAS
18
047
0.59
20
037
04
067
19
046
29
0.37
047
063
076
20
044
a56
30
0.56
046
0.60
0.75
21
043
055
12
071
22
0.42
054
Definition Definition Relationship between two independent variables. A correlation tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Expert Solution
Step 1
b)
The hypotheses are given below:
Null hypothesis:
H0: ρ= 0
Alternative hypothesis:
Ha: ρ ≠ 0.
Enter the values of x in columns A1:A6 in Excel.
Enter the values of y in columns B1:B6 in Excel.
The value of the sample correlation coefficient, r is -0.987 using the Excel formula “=CORREL(A1:A6,B1:B6)
