The data below shows the selling price (in hundred thousands) and the list price (in hundred thousands) of homes sold. 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 the two variables? Selling Price (x) 400 303 376 431 458 476 317 353 417 331 List Price (y) 415 315 389 436 488 476 322 365 434 342 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. A. 300400500300400500xy A scatterplot has a horizontal x-scale from 300 to 500 in intervals of 20 and a vertical y-scale from 300 to 500 in intervals of 20. Ten points are plotted with approximate coordinates as follows: (305, 330); (315, 370); (355, 415); (365, 350); (410, 450); (415, 380); (420, 425); (465, 485); (470, 405); (470, 455). B. 300400500300400500xy A scatterplot has a horizontal x-scale from 300 to 500 in intervals of 20 and a vertical y-scale from 300 to 500 in intervals of 20. Eleven points are plotted with approximate coordinates as follows: (305, 485); (330, 340); (350, 465); (360, 405); (390, 400); (400, 475); (410, 375); (415, 435); (430, 355); (430, 400); (455, 460). C. 300400500300400500xy A scatterplot has a horizontal x-scale from 300 to 500 in intervals of 20 and a vertical y-scale from 300 to 500 in intervals of 20. Eleven points are plotted with approximate coordinates as follows: (305, 485); (335, 460); (355, 365); (360, 450); (380, 425); (390, 400); (410, 375); (415, 435); (420, 390); (430, 355); (460, 345). D. 300400500300400500xy A scatterplot has a horizontal x-scale from 300 to 500 in intervals of 20 and a vertical y-scale from 300 to 500 in intervals of 20. Ten points are plotted with approximate coordinates as follows: (305, 315); (315, 320); (330, 340); (355, 365); (375, 390); (400, 415); (415, 435); (430, 435); (460, 490); (475, 475). The linear correlation coefficient r is nothing. (Round to three decimal places as needed.) The test statistic t is nothing. (Round to three decimal places as needed.) The P-value is nothing. (Round to three decimal places as needed.) Because the P-value is ▼ less greater than the significance level 0.05, there ▼ is is not sufficient evidence to support the claim that there is a linear correlation between selling price (in hundred thousands) and the list price (in hundred thousands) of homes sold for a significance level of α=0.05.

The data below shows the selling price (in hundred thousands) and the list price (in hundred thousands) of homes sold. 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 the two variables? Selling Price (x) 400 303 376 431 458 476 317 353 417 331 List Price (y) 415 315 389 436 488 476 322 365 434 342 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. A. 300400500300400500xy A scatterplot has a horizontal x-scale from 300 to 500 in intervals of 20 and a vertical y-scale from 300 to 500 in intervals of 20. Ten points are plotted with approximate coordinates as follows: (305, 330); (315, 370); (355, 415); (365, 350); (410, 450); (415, 380); (420, 425); (465, 485); (470, 405); (470, 455). B. 300400500300400500xy A scatterplot has a horizontal x-scale from 300 to 500 in intervals of 20 and a vertical y-scale from 300 to 500 in intervals of 20. Eleven points are plotted with approximate coordinates as follows: (305, 485); (330, 340); (350, 465); (360, 405); (390, 400); (400, 475); (410, 375); (415, 435); (430, 355); (430, 400); (455, 460). C. 300400500300400500xy A scatterplot has a horizontal x-scale from 300 to 500 in intervals of 20 and a vertical y-scale from 300 to 500 in intervals of 20. Eleven points are plotted with approximate coordinates as follows: (305, 485); (335, 460); (355, 365); (360, 450); (380, 425); (390, 400); (410, 375); (415, 435); (420, 390); (430, 355); (460, 345). D. 300400500300400500xy A scatterplot has a horizontal x-scale from 300 to 500 in intervals of 20 and a vertical y-scale from 300 to 500 in intervals of 20. Ten points are plotted with approximate coordinates as follows: (305, 315); (315, 320); (330, 340); (355, 365); (375, 390); (400, 415); (415, 435); (430, 435); (460, 490); (475, 475). The linear correlation coefficient r is nothing. (Round to three decimal places as needed.) The test statistic t is nothing. (Round to three decimal places as needed.) The P-value is nothing. (Round to three decimal places as needed.) Because the P-value is ▼ less greater than the significance level 0.05, there ▼ is is not sufficient evidence to support the claim that there is a linear correlation between selling price (in hundred thousands) and the list price (in hundred thousands) of homes sold for a significance level of α=0.05.

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

α=0.05.

Is there sufficient evidence to conclude that there is a linear correlation between the two variables?

Selling Price (x)	400	303	376	431	458	476	317	353	417	331
List Price (y)	415	315	389	436	488	476	322	365	434	342

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.

300400500300400500xy

A scatterplot has a horizontal x-scale from 300 to 500 in intervals of 20 and a vertical y-scale from 300 to 500 in intervals of 20. Ten points are plotted with approximate coordinates as follows: (305, 330); (315, 370); (355, 415); (365, 350); (410, 450); (415, 380); (420, 425); (465, 485); (470, 405); (470, 455).

300400500300400500xy

A scatterplot has a horizontal x-scale from 300 to 500 in intervals of 20 and a vertical y-scale from 300 to 500 in intervals of 20. Eleven points are plotted with approximate coordinates as follows: (305, 485); (330, 340); (350, 465); (360, 405); (390, 400); (400, 475); (410, 375); (415, 435); (430, 355); (430, 400); (455, 460).

300400500300400500xy

A scatterplot has a horizontal x-scale from 300 to 500 in intervals of 20 and a vertical y-scale from 300 to 500 in intervals of 20. Eleven points are plotted with approximate coordinates as follows: (305, 485); (335, 460); (355, 365); (360, 450); (380, 425); (390, 400); (410, 375); (415, 435); (420, 390); (430, 355); (460, 345).

300400500300400500xy

A scatterplot has a horizontal x-scale from 300 to 500 in intervals of 20 and a vertical y-scale from 300 to 500 in intervals of 20. Ten points are plotted with approximate coordinates as follows: (305, 315); (315, 320); (330, 340); (355, 365); (375, 390); (400, 415); (415, 435); (430, 435); (460, 490); (475, 475).

The linear correlation coefficient r is

nothing.

(Round to three decimal places as needed.)

The test statistic t is

nothing.

(Round to three decimal places as needed.)

The P-value is

nothing.

(Round to three decimal places as needed.)

Because the P-value is

▼

less

greater

than the significance level

0.05,

there

▼

is not

sufficient evidence to support the claim that there is a linear correlation between selling price (in hundred thousands) and the list price (in hundred thousands) of homes sold for a significance level of

α=0.05.

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