To examine the linear correlation between work experience and salary, data was collected from employees at a company. See the table below. Years of Salary Experience ($1000's) 48 8 47 9. 52 20 56 22 58 23 66 24 64 Does this result suggest that the correlation is statistically significant? Use a = 0.05. Important Note: Round your value for r to three decimals before computing the STS. DO NOT use the built- in LinRegTTest on a calculator because you might get marked wrong. When computing the P-value, use the rounded STS. 1. Select the correct statement: O If the correlation is found to be statistically significant, that means that changes in x cause changes in y O Even if the correlation is found to be statistically significant, that does not necessarily mean that changes in x cause changes in y The hypotheses are: Ho:r 2 0; Ha:r < 0 O Ho:p S 0; Ha:p> 0 O Ho:p = 0; Ha:p+ 0 O Ho:p 2 0; Ha:p < 0 Ho:r < 0; Ha:r > 0 %3D Ho:r = 0; Ha:r + 0 %3D
To examine the linear correlation between work experience and salary, data was collected from employees at a company. See the table below. Years of Salary Experience ($1000's) 48 8 47 9. 52 20 56 22 58 23 66 24 64 Does this result suggest that the correlation is statistically significant? Use a = 0.05. Important Note: Round your value for r to three decimals before computing the STS. DO NOT use the built- in LinRegTTest on a calculator because you might get marked wrong. When computing the P-value, use the rounded STS. 1. Select the correct statement: O If the correlation is found to be statistically significant, that means that changes in x cause changes in y O Even if the correlation is found to be statistically significant, that does not necessarily mean that changes in x cause changes in y The hypotheses are: Ho:r 2 0; Ha:r < 0 O Ho:p S 0; Ha:p> 0 O Ho:p = 0; Ha:p+ 0 O Ho:p 2 0; Ha:p < 0 Ho:r < 0; Ha:r > 0 %3D Ho:r = 0; Ha:r + 0 %3D
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Concept explainers
Correlation
Correlation defines a relationship between two independent variables. It 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.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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Transcribed Image Text:• Question 19
To examine the linear correlation between work experience and salary, data was collected from employees
at a company. See the table below.
Years of
Salary
Experience
($1000's)
5.
48
8
47
52
20
56
22
58
23
66
24
64
Does this result suggest that the correlation is statistically significant? Use a = 0.05.
Important Note: Round your value for r to three decimals before computing the STS. DO NOT use the built-
in LinRegTTest on a calculator because you might get marked wrong. When computing the P.value, use the
rounded STS.
1. Select the correct statement:
O If the correlation is found to be statistically significant, that means that changes in x cause changes
in y
O Even if the correlation is found to be statistically significant, that does not necessarily mean that
changes in x cause changes in y
The hypotheses are:
O Ho:r 2 0; Ha:r < 0
O Ho:p < 0; Ha:p> 0
O Ho:p = 0; Ha:p# 0
O Ho:p 2 0; Ha:p < 0
O Ho:r < 0; Ha:r > 0
O Ho:r = 0; Ha:r + 0
MacBook Air
000
600
F4
11
F8
>>
F9
F2
F3
F5
F6
F7
4.
Transcribed Image Text:2. This is a OleftO twoO right tailed test and the distribution used is
OT
Oz
The Degrees of Freedom are
ON/A; this is a Z-test
0 6
05
07
3. The STS (round to 3 decimals) is:
The P-value (round to 4 decimals) is:
4. The decision at a = 0.05 is:
O Do not reject Ho since P > a
O Reject Ho since P < a
O Reject Ho since P > a
Do not reject Ho since P < a
The conclusion is:
O There is sufficient evidence to conclude that there is not a statistically significant linear correlation
O There is insufficient evidence to conclude that there is not a statistically significant linear
correlation
O There is sufficient evidence to conclude that there is a statistically significant linear correlation
O There is insufficient evidence to conclude that there is a statistically significant linear correlation
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