Annual high temperatures in a certain location have been tracked for a sample of 12 years. Let X represent the year and Y the high temperature (in C°). X y 2 23.34 3 25.81 4 30.68 5 34.65 6 35.92 7 37.09 8 41.46 9 43.53 10 49 11 | 50.37 12 | 5 13 53.24 55.11 Calculate the correlation coefficient. (Round to three decimal places.) r = 0.995 Let's test the significance of the correlation coefficient at a = 0.1 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 =
Annual high temperatures in a certain location have been tracked for a sample of 12 years. Let X represent the year and Y the high temperature (in C°). X y 2 23.34 3 25.81 4 30.68 5 34.65 6 35.92 7 37.09 8 41.46 9 43.53 10 49 11 | 50.37 12 | 5 13 53.24 55.11 Calculate the correlation coefficient. (Round to three decimal places.) r = 0.995 Let's test the significance of the correlation coefficient at a = 0.1 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 =
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 1AGP
Related questions
Question
![Annual high temperatures in a certain location have been
tracked for a sample of 12 years. Let X represent the year
and Y the high temperature (in C°).
X
y
2
23.34
3
25.81
4 30.68
5 34.65
6 35.92
7 37.09
8
41.46
9 43.53
10
49
11 | 50.37
12 | 5
13
53.24
55.11
Calculate the correlation coefficient. (Round to three
decimal places.)
r = 0.995
Let's test the significance of the correlation coefficient
at a = 0.1 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
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70f429ec-56f7-4b96-8a9a-8fbac7039dcc%2F1f88c03a-f1fc-4382-9389-339fec199500%2F65kthjq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Annual high temperatures in a certain location have been
tracked for a sample of 12 years. Let X represent the year
and Y the high temperature (in C°).
X
y
2
23.34
3
25.81
4 30.68
5 34.65
6 35.92
7 37.09
8
41.46
9 43.53
10
49
11 | 50.37
12 | 5
13
53.24
55.11
Calculate the correlation coefficient. (Round to three
decimal places.)
r = 0.995
Let's test the significance of the correlation coefficient
at a = 0.1 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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