The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a correlation? Use a significance level of a = 0.01. H Click the icon to view the ages of the award winners. Construct a scatterplot. Choose the correct graph below. OA. OB. Oc. OD. Best Actress (years) Rest Actress (years) Best Astress (years Best Astress (vears) The linear correlation coefficient is rO (Round to three decimal places needed.) Determine the null and alternative hypotheses. Họ: p H: p O (Type integers or decimals. Do not round.) The test statistic ist (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value of the linear correlation coefficient is V the significance level, there sufficient evidence to support the claim that there is a linear correlation between the ages of Best Actresses and Best Actors. Should we expect that there would be a correlation? O A. No, because Best Actors and Best Actresses typically appear in different movies, so we should not expect the ages to be correlated. O B. Yes, because Best Actors and Best Actresses are typically the same age OC. Yes, because Best Actors and Best Actresses typically appear in the same movies, so we should expect the ages to be correlated. OD. No, because Best Actors and Best Actresses are not typically the same age.
The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a correlation? Use a significance level of a = 0.01. H Click the icon to view the ages of the award winners. Construct a scatterplot. Choose the correct graph below. OA. OB. Oc. OD. Best Actress (years) Rest Actress (years) Best Astress (years Best Astress (vears) The linear correlation coefficient is rO (Round to three decimal places needed.) Determine the null and alternative hypotheses. Họ: p H: p O (Type integers or decimals. Do not round.) The test statistic ist (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value of the linear correlation coefficient is V the significance level, there sufficient evidence to support the claim that there is a linear correlation between the ages of Best Actresses and Best Actors. Should we expect that there would be a correlation? O A. No, because Best Actors and Best Actresses typically appear in different movies, so we should not expect the ages to be correlated. O B. Yes, because Best Actors and Best Actresses are typically the same age OC. Yes, because Best Actors and Best Actresses typically appear in the same movies, so we should expect the ages to be correlated. OD. No, because Best Actors and Best Actresses are not typically the same age.
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:Best Actress 29
29
30
58
33
32
47
30
63
22
45
54
Best Actor
43
37
37
45
52
46
57
52
39
55
43
32
Transcribed Image Text:The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two
variables. Should we expect that there would be a correlation? Use a significance level of a = 0.01.
Click the icon to view the ages of the award winners.
Construct a scatterplot. Choose the correct graph below.
O A.
OB.
OC.
O D.
70-
70-
70-
70-
20+
20
Best Actress (years)
20+
20
70
Best Actress (years)
20-
20
20+
20
Best Actress (years)
70
70
70
Best Actress (years)
The linear correlation coefficient is r=
(Round to three decimal places as needed.)
Determine the null and alternative hypotheses.
Ho: P
H1: p
(Type integers or decimals. Do not round.)
The test statistic is t=
(Round to two decimal places as needed.)
The P-value is.
(Round to three decimal places as needed.)
Because the P-value of the linear correlation coefficient is
the significance level, there
sufficient evidence to support the claim that there is a linear correlation between the ages of Best Actresses and Best Actors.
Should we expect that there would be a correlation?
O A. No, because Best Actors and Best Actresses typically appear in different movies, so we should not expect the ages to be correlated.
O B. Yes, because Best Actors and Best Actresses are typically the same age.
O C. Yes, because Best Actors and Best Actresses typically appear in the same movies, so we should expect the ages to be correlated.
O D. No, because Best Actors and Best Actresses are not typically the same age.
Best Actor (y
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