Answered: Listed below are annual data for…

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

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.