1) The data show the chest size and weight of several bears. Find the regressionequation, letting chest size be the independent(x) variable. Then find the best predicted weight of a bear with a chest size of 63 inches. Is the result close to the actual weight of 462 pounds? Use a significance level of 0.05.

Chest size(inches)

58

50

65

59

59

48

Weight(pounds)

414

312

499

450

456

260

What is the regressionequation?

y=______+________x(Round to one decimal place asneeded.)

What is the best predicted weight of a bear with a chest size of 63 inches?

The best predicted weight for a bear with a chest size of 63 inches is ________pounds. (Round to one decimal place asneeded.)

Is the result close to the actual weight of 462 pounds? ( choose right answer)

A.This result is exactly the same as t

B.This result is close to the actual weight of the bear.

C.This result is not very close to the actual weight of the bear.

D.This result is very close to the actual weight of the bear.

2)

Correlation Results

Correlationcoeff, r: 0.974757

Criticalr: 0.2680855

P-value (twotailed): 0.000

Determine the null and alternative hypotheses.

H0: equals

=

0

0

H1: not equals

0

0

(Type integers or decimals. Do notround.)

Identify the correlationcoefficient, r.

r=_______(Round to three decimal places asneeded.)

Identify the criticalvalue(s).

(Round to three decimal places asneeded.)

A.There is one critical value at r=______

B. 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 chestsizes? Choose the correct answer belowand, ifnecessary, fill in the answer box within your choice.

(Round to three decimal places asneeded.)

A. No, because the absolute value of the test statistic ______exceeds the critical value.

B. Yes, because the absolute value of the test statistic ______exceeds the critical value.

C. No, because the test statistic _____falls between the critical values.

D. Yes, because the test statistic ______falls between the critical values.

E. The answer cannot be determined from the given information.

When measuring an anesthetizedbear, is it easier to measure chest size thanweight? Ifso, does it appear that a measured chest size can be used to predict theweight?

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 not be used to predict weight because there is too much variance in the weight of the bears.

B. 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.

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 be used to predict weight because there is a linear correlation between the two.

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