Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find theP-value using α=0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? Lemon Imports 229 265 358 484 532 Crash Fatality Rate 15.9 15.7 15.5 15.2 14.8
Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find theP-value using α=0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? Lemon Imports 229 265 358 484 532 Crash Fatality Rate 15.9 15.7 15.5 15.2 14.8
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2CYU
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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
Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot , find the value of the linear correlation coefficient r, and find theP-value using
α=0.05.
Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities?|
Lemon Imports
|
229
|
265
|
358
|
484
|
532
|
|
|
|
Crash Fatality Rate
|
15.9
|
15.7
|
15.5
|
15.2
|
14.8
|
|
Transcribed Image Text:Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. 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 lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities?
Lemon Imports
Crash Fatality Rate
229
265
358
484
532
15.9
15.7
15.5
15.2
14.8
What are the null and alternative hypotheses?
O A. Ho: p=0
H,: p>0
B. Ho:p=0
Hip#0
O C. Ho: p=0
H,:p<0
O D. Ho: p#0
H,:p=0
Construct a scatterplot. Choose the correct graph below.
O A.
В.
D.
Ay
17-
Ay
17-
Ay
17-
Ay
17-
16-
16-
16-
16-
15-
15-
15-
15-
X
X
14+
14-
14-
14-
200
400
600
200
400
600
200
400
600
200
400
600
The linear correlation coefficient is r=
(Round to three decimal places as needed.)
The test statistic is t= |.
(Round to three decimal places as needed.)
Find the p-value and then fill in the blanks below:
Because the P-value is
V than the significance level 0.05, there
sufficient evidence to support the claim that there is a linear correlation between lemon imports and crash fatality rates for a significance level of = 0.05.
Do the results suggest that imported lemons cause car fatalities?
A. The results suggest that an increase in imported lemons causes in an increase in car fatality rates.
B. The results suggest that an increase in imported lemons causes car fatality rates to remain the same.
C. The results do not suggest any cause-effect relationship between the two variables.
D. The results suggest that imported lemons cause car fatalities.
of
to
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