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

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 ascatterplot, 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	264	359	482	534
Crash Fatality Rate	15.8	15.7	15.4	15.2	14.9

What are the null and alternative hypotheses?

H0:

ρ=0

H1:

ρ>0

H0:

ρ≠0

H1:

ρ=0

H0:

ρ=0

H1:

ρ≠0

H0:

ρ=0

H1:

ρ<0

Construct a scatterplot. Choose the correct graph below.

020040060014151617xy

A scatterplot has a horizontal x-scale from 0 to 600 in increments of 100 and a vertical y-scale from 14 to 17 in increments of 0.5. Five plotted points follow the pattern of a line rising from left to right passing through the points (230, 14.9); (260, 15.2); (360, 15.4); (480, 15.7); (530, 15.8). All coordinates are approximate.

020040060014151617xy

A scatterplot has a horizontal x-scale from 0 to 600 in increments of 100 and a vertical y-scale from 14 to 17 in increments of 0.5. Five plotted points generally follow the pattern of a line rising from left to right passing through the points (230, 15.8) and (530, 14.9). All coordinates are approximate.

020040060014151617xy

A scatterplot has a horizontal x-scale from 0 to 600 in increments of 100 and a vertical y-scale from 14 to 17 in increments of 0.5. Five plotted points follow the pattern of a curve falling from left to right passing through the points (230, 15.8) and (260, 15.7) to (360, 15.4) and then rising passing through the points (480, 15.7) and (530, 15.8). All horizontal coordinates are approximate.

020040060014151617xy

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