The data below shows the annual salaries (in millions) and the number of viewers (in millions) of eight television actors and actresses. Construct a scatterplot, find the value of th linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between the two variables? Salary (x) Viewers (y) 10 4.1 12 5.6 35 1.9 3 4.5 98 15 6 17 10.2 9.8 13.7 of O 20 40 60 80 100 0 f 0 20 40 60 80 100 O 20 40 60 80 100 fof O 20 40 60 80 100 The linear correlation coefficient r is (Round to three decimal places as needed.) The test statistic t is (Round to three decimal places as needed.) The P-value is. (Round to three decimal places as needed.) Because the P-value is V than the significance level 0.05, there V sufficient evidence to support the claim that there is a linear correlation between annual salaries (i millions) and the number of viewers (in millions) for a significance level of a =0.05. Can the number of viewers be used to get a good sense of annual salaries? OA. Knowing the number of viewers is not helpful in getting a good sense for the annual salaries because there does not appear to be a linear correlation between the two variables. O B. Knowing the number of viewers is helpful in getting a good sense for the annual salaries, because there does not appear to be a linear correlation between the two variable O C. Knowing the number of viewers is not helpful in getting a good sense for the annual salaries because there appears to be a linear correlation between the two variables. O D. Knowing the number of viewers is helpful in getting a good sense for the annual salaries because there appears to be a linear correlation between the two variables.
The data below shows the annual salaries (in millions) and the number of viewers (in millions) of eight television actors and actresses. Construct a scatterplot, find the value of th linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between the two variables? Salary (x) Viewers (y) 10 4.1 12 5.6 35 1.9 3 4.5 98 15 6 17 10.2 9.8 13.7 of O 20 40 60 80 100 0 f 0 20 40 60 80 100 O 20 40 60 80 100 fof O 20 40 60 80 100 The linear correlation coefficient r is (Round to three decimal places as needed.) The test statistic t is (Round to three decimal places as needed.) The P-value is. (Round to three decimal places as needed.) Because the P-value is V than the significance level 0.05, there V sufficient evidence to support the claim that there is a linear correlation between annual salaries (i millions) and the number of viewers (in millions) for a significance level of a =0.05. Can the number of viewers be used to get a good sense of annual salaries? OA. Knowing the number of viewers is not helpful in getting a good sense for the annual salaries because there does not appear to be a linear correlation between the two variables. O B. Knowing the number of viewers is helpful in getting a good sense for the annual salaries, because there does not appear to be a linear correlation between the two variable O C. Knowing the number of viewers is not helpful in getting a good sense for the annual salaries because there appears to be a linear correlation between the two variables. O D. Knowing the number of viewers is helpful in getting a good sense for the annual salaries because there appears to be a linear correlation between the two variables.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 11CT
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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.
Question
Transcribed Image Text:The data below shows the annual salaries (in millions) and the number of viewers (in millions) of eight television actors and actresses. Construct a scatterplot, find the value of the
linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between the two variables?
Salary (x)
Viewers (y)
98
10
12
35
15
7
17
4.1
5.6
1.9
10.2
9.8
13.7
4.5
0 20 40 60 80 100
0 20 40 60 80 100
0 20 40 60 80 100
20 40 60 80 100
The linear correlation coefficient r is
(Round to three decimal places as needed.)
The test statistic t is
(Round to three decimal places as needed.)
The P-value is
(Round to three decimal places as needed.)
Because the P-value is
than the significance level 0.05, there
sufficient evidence to support the claim that there is a linear correlation between annual salaries (in
millions) and the number of viewers (in millions) for a significance level of a = 0.05.
Can the number of viewers be used to get a good sense of annual salaries?
O A. Knowing the number of viewers is not helpful in getting a good sense for the annual salaries because there does not appear to be a linear correlation between the two
variables.
O B. Knowing the number of viewers is helpful in getting a good sense for the annual salaries, because there does not appear to be a linear correlation between the two variables.
O C. Knowing the number of viewers is not helpful in getting a good sense for the annual salaries because there appears to be a linear correlation between the two variables.
O D. Knowing the number of viewers is helpful in getting a good sense for the annual salaries because there appears to be a linear correlation between the two variables.
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