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 =

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter9: Solving Quadratic Functions
Section: Chapter Questions
Problem 4CA
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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
=
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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