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 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 231 266 358 482 53
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 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 231 266 358 482 53
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.3: Logarithmic Functions And Their Graphs
Problem 137E
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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 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
|
231
|
266
|
358
|
482
|
532
|
|
|
|---|---|---|---|---|---|---|---|
|
Crash Fatality Rate
|
15.8
|
15.7
|
15.5
|
15.3
|
14.9
|
|
What are the null and alternative hypotheses?
A. H0: ρ = 0
H1: ρ ≠ 0
B. H0: ρ = 0
H1: ρ < 0
C. H0: ρ = 0
H1: ρ > 0
D. H0: ρ ≠ 0
H1: ρ = 0
Construct a scatterplot. Choose the correct graph below.
( Graphs are attached)
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 ___________ ( A. less, B. greater ) than the significance level 0.05, there ___________ ( A. is not, B. 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 α=0.05.
Do the results suggest that imported lemons cause car fatalities?
A. The results suggest that imported lemons cause car fatalities.
B. The results suggest that an increase in imported lemons causes in an increase in car fatality rates.
C. The results do not suggest any cause-effect relationship between the two variables.
D. The results suggest that an increase in imported lemons causes car fatality rates to remain the same.
Transcribed Image Text:Construct a scatterplot. Choose the correct graph below.
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