Fifty-fourwild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Results are shown in the accompanying display. Is there sufficient evidence to support the claim that there is a linear correlation between the weights of bears and their chest sizes? When measuring an anesthetized bear, is it easier to measure chest size than weight? If so, does it appear that a measured chest size can be used to predict the weight? Use a significance level ofα=0.05.Correlation ResultsCorrelation coeff, r:0.979514Critical r:±0.2680855P-value (two tailed):0.000 Determine the null and alternative hypotheses. H0:ρ(>,≠,=,<) ________ H1:ρ(>,≠,=,<) ________(Type integers or decimals. Do not round.) Identify the correlation coefficient, r.r=_____(Round to three decimal places as needed.) Identify the critical value(s).(Round to three decimal places as needed.) A.There is one critical value atr=______. B.There are two critical values atr=±__________. Is there sufficient evidence to support the claim that there is a linear correlation between the weights of bears and their chest sizes? Choose the correct answer below and, if necessary, fill in the answer box within your choice.(Round to three decimal places as needed.) A.Yes, because the absolute value of the test statisticnothingexceeds the critical value. B.No, because the absolute value of the test statisticnothingexceeds the critical value. C.Yes, because the test statisticnothingfalls between the critical values. D.No, because the test statisticnothingfalls between the critical values. E.The answer cannot be determined from the given information. When measuring an anesthetized bear, is it easier to measure chest size than weight? If so, does it appear that a measured chest size can be used to predict the weight? A.Yes, it is easier to measure a chest size than a weight because measuring weight would require lifting the bear onto the scale. The chest size could be used to predict weight because there is a linear correlation between the two. B.No, it is easier to measure weight than chest size because the chest is not a flat surface. C.Yes, it is easier to measure a chest size than a weight because measuring weight would require lifting the bear onto the scale. The chest size could not be used to predict weight because there is too much variance in the weight of the bears. D.Yes, it is easier to measure a chest size than a weight because measuring weight would require lifting the bear onto the scale. The chest size could not be used to predict weight because there is not a linear correlation between the two.

Answered: Fifty-four wild bears were…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 15PPS

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Fifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Results are shown in the accompanying display. Is there sufficient evidence to support the claim that there is a linear correlation between the weights of bears and their chest sizes? When measuring an anesthetized bear, is it easier to measure chest size than weight? If so, does it appear that a measured chest size can be used to predict the weight? Use a significance level of α=0.05.	Correlation Results
Correlation coeff, r:	0.979514
Critical r:	±0.2680855
P-value (two tailed):	0.000

Determine the null and alternative hypotheses.

H0:

ρ(>,≠,=,<) ________

H1:

(>,≠,=,<) ________

(Type integers or decimals. Do not round.)

Identify the correlation coefficient, r.

r=_____

(Round to three decimal places as needed.)

Identify the critical value(s).

(Round to three decimal places as needed.)

There is one critical value at

r=______.

There are two critical values at

r=±__________.

Is there sufficient evidence to support the claim that there is a linear correlation between the weights of bears and their chest sizes? Choose the correct answer below and, if necessary, fill in the answer box within your choice.

(Round to three decimal places as needed.)

Yes, because the absolute value of the test statistic

nothing

exceeds the critical value.

No, because the absolute value of the test statistic

nothing

exceeds the critical value.

Yes, because the test statistic

nothing

falls between the critical values.

No, because the test statistic

nothing

falls between the critical values.

The answer cannot be determined from the given information.

When measuring an anesthetized bear, is it easier to measure chest size than weight? If so, does it appear that a measured chest size can be used to predict the weight?

Yes, it is easier to measure a chest size than a weight because measuring weight would require lifting the bear onto the scale. The chest size could be used to predict weight because there is a linear correlation between the two.

No, it is easier to measure weight than chest size because the chest is not a flat surface.

Yes, it is easier to measure a chest size than a weight because measuring weight would require lifting the bear onto the scale. The chest size could not be used to predict weight because there is too much variance in the weight of the bears.

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