Annual high temperatures in a certain location have been tracked for a sample of 7 years. Let X represent the year and Y the high temperature (in C°). y 5 23.45 6 26.02 7 26.79 8 31.06 9 30.53 10 33.8 11 34.07 r = X Calculate the correlation coefficient. (Round to three decimal places.) Let's test the significance of the correlation coefficient at a = = 0.01 significance level. Ho: There is not a significant relationship between the year and high temperature, i.e., p = 0. Ha: There is a significant relationship between the year and high temperature, i.e., p = 0. a. Calculate the test statistic. Round to three decimal places. t = b. Calculate the p-value. Round to four decimal places. p-value =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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Annual high temperatures in a certain location have
been tracked for a sample of 7 years. Let X represent
the year and Y the high temperature (in C°).
x
5
6
7
8
9
10
11
r =
Calculate the correlation coefficient. (Round to three
decimal places.)
y
23.45
26.02
26.79
31.06
30.53
33.8
34.07
Let's test the significance of the correlation
coefficient at a = 0.01 significance level.
Ho: There is not a significant relationship between the
year and high temperature, i.e., p = 0.
Ha: There is a significant relationship between the
year and high temperature, i.e., p = 0.
a. Calculate the test statistic. Round to three
decimal places.
t
=
b. Calculate the p-value. Round to four decimal
places.
p-value =
Transcribed Image Text:Annual high temperatures in a certain location have been tracked for a sample of 7 years. Let X represent the year and Y the high temperature (in C°). x 5 6 7 8 9 10 11 r = Calculate the correlation coefficient. (Round to three decimal places.) y 23.45 26.02 26.79 31.06 30.53 33.8 34.07 Let's test the significance of the correlation coefficient at a = 0.01 significance level. Ho: There is not a significant relationship between the year and high temperature, i.e., p = 0. Ha: There is a significant relationship between the year and high temperature, i.e., p = 0. a. Calculate the test statistic. Round to three decimal places. t = b. Calculate the p-value. Round to four decimal places. p-value =
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