Annual high temperatures in a certain location have been tracked for a sample of 11 years. Let X represent the year and Y the high temperature (in C°). 4 28.6 5 30.2 6 35.6 7 37.3 38.4 44.6 10 44.8 48.1 11 12 51.5 13 55.3 14 57.8 Calculate the correlation coefficient. (Round to three decimal piaces.) Let's test the significance of the correlation coefficient at a = 0.05 significance level. Hạ: There is not a significant relationship between the year and high temperature, i.e., p = 0. Hạ: There is a significant relationship between the year and high temperature, i.e., p £ 0.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question
Annual high temperatures in a certain location have been tracked for a sample of 11 years. Let X
represent the year and Y the high temperature (in C").
4
28.6
30.2
6
35.6
7
37.3
8
38.4
44.6
10
44.8
11
48.1
12
51.5
13
55.3
14
57.8
Calculate the correlation coefficient. (Round to three decimal places.)
Let's test the significance of the correlation coefficient at a = 0.05 significance level.
Họ: There is not a significant relationship between the year and high temperature, i.e., p = 0.
Hạ: 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 ploces.
p-value=
C. Make a decision.
O Do not reject the null hypothesis.
O Reject the null hypothesis.
d. Is there enough evidence to support that there is a significant relationship between the year and high
temperature?
O No
O Yes
Transcribed Image Text:Annual high temperatures in a certain location have been tracked for a sample of 11 years. Let X represent the year and Y the high temperature (in C"). 4 28.6 30.2 6 35.6 7 37.3 8 38.4 44.6 10 44.8 11 48.1 12 51.5 13 55.3 14 57.8 Calculate the correlation coefficient. (Round to three decimal places.) Let's test the significance of the correlation coefficient at a = 0.05 significance level. Họ: There is not a significant relationship between the year and high temperature, i.e., p = 0. Hạ: 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 ploces. p-value= C. Make a decision. O Do not reject the null hypothesis. O Reject the null hypothesis. d. Is there enough evidence to support that there is a significant relationship between the year and high temperature? O No O Yes
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman