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Question #4 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.)

Question #4 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.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question #4

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.
**Construct a Scatterplot: Choose the Correct Graph** This exercise presents four options for constructing a scatterplot, labeled A through D. Each scatterplot displays points on a grid with an x-axis ranging from 0 to 600 and a y-axis ranging from 14 to 17. ### Scatterplot Details: - **Scatterplot A:** - Points are scattered approximately in a linear fashion, indicating a potential correlation. - **Scatterplot B:** - Points are scattered in a more dispersed manner, with no clear linear pattern. - **Scatterplot C:** - Points show a downward trend, implying a negative correlation between the variables. - **Scatterplot D:** - Points appear randomly distributed, indicating little to no apparent correlation. Each scatterplot is represented with a magnifying glass and an option to select it. Analyze the scatterplots to identify patterns or correlations, and choose which graph correctly represents the data or the desired outcome.
Transcribed Image Text:**Construct a Scatterplot: Choose the Correct Graph** This exercise presents four options for constructing a scatterplot, labeled A through D. Each scatterplot displays points on a grid with an x-axis ranging from 0 to 600 and a y-axis ranging from 14 to 17. ### Scatterplot Details: - **Scatterplot A:** - Points are scattered approximately in a linear fashion, indicating a potential correlation. - **Scatterplot B:** - Points are scattered in a more dispersed manner, with no clear linear pattern. - **Scatterplot C:** - Points show a downward trend, implying a negative correlation between the variables. - **Scatterplot D:** - Points appear randomly distributed, indicating little to no apparent correlation. Each scatterplot is represented with a magnifying glass and an option to select it. Analyze the scatterplots to identify patterns or correlations, and choose which graph correctly represents the data or the desired outcome.
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