Lemon Imports 265 232 15.8 357 484 532 14.9 Crash Fatality Rate 15.7 15.4 15.3 17- 16- 16- 16- Q 16- Q 15- 15- 15- 15- 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.) The P-value is. (Round to three decimal places as needed.) Because the P-value is less than the significance level 0.05, there is sufficient evidence to support the claim that there is a linear correlation between lemon imports and crash fatality rates for a significance level of a =0.05. Do the results suggest that imported lemons cause car fatalities? O A. The results suggest that an increase in imported lemons causes car fatality rates to remain the same. OB. The results suggest that an increase in imported lemons causes in an increase in car fatality rates. O C. The results do not suggest any cause-effect relationship between the two variables. O D. The results suggest that imported lemons cause car fatalities.
Lemon Imports 265 232 15.8 357 484 532 14.9 Crash Fatality Rate 15.7 15.4 15.3 17- 16- 16- 16- Q 16- Q 15- 15- 15- 15- 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.) The P-value is. (Round to three decimal places as needed.) Because the P-value is less than the significance level 0.05, there is sufficient evidence to support the claim that there is a linear correlation between lemon imports and crash fatality rates for a significance level of a =0.05. Do the results suggest that imported lemons cause car fatalities? O A. The results suggest that an increase in imported lemons causes car fatality rates to remain the same. OB. The results suggest that an increase in imported lemons causes in an increase in car fatality rates. O C. The results do not suggest any cause-effect relationship between the two variables. O D. The results suggest that imported lemons cause car fatalities.
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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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: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
232
265
357
484
532
15.8
15.7
15.4
15.3
14.9
17-
171
16-
16-
16-
16-
15-
15-
15-
15-
O.
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.)
The P-value is
(Round to three decimal places as needed.)
Because the P-value is
less
than the significance level 0.05, there
is
sufficient evidence to support the claim that there is a linear correlation between lemon imports and crash fatality rates for a significance level of a = 0.05.
Do the results suggest that imported lemons cause car fatalities?
O A. The results suggest that an increase in imported lemons causes car fatality rates to remain the same.
B. The results suggest that an increase in imported lemons causes in an increase in car fatality rates.
O C. The results do not suggest any cause-effect relationship between the two variables.
D. The results suggest that imported lemons cause car fatalities.
Click to select your answer(s).
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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
232
265
357
484
532
15.8
15.7
15.4
15.3
14.9
OA. Ho: P=0
О В. Но: р30
Hy:p#0
H1:p>0
O C. Ho: p=0
O D. Ho: p#0
H:p=0
H:p<0
Construct a scatterplot. Choose the correct graph below.
O A.
В.
OC.
D.
Ay
17-
Ay
17-
17-
17-
16-
16-
16-
16-
15-
15-
15-
15-
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.)
The P-value is
(Round to three decimal places as needed)
Click to select your answer(s).
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8
9.
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