1)Different hotels in a certain area are randomlyselected, and their ratings and prices were obtained online. Usingtechnology, with x representing the ratings and y representingprice, we find that the regression equation has a slope of 125 and ay-intercept of 398. Complete parts(a) and(b) below.

a. What is the equation of the regressionline? Select the correct choice below and fill in the answer boxes to complete your choice.

A.

y=

nothing

+

x

B.

y=

nothing

+

x

C.

y=

nothing

+

x

D.

y=

nothing

+

2)What is the difference between the following two regressionequations?

y=b0+b1xy=0+1x

Choose the correct answer below.

A.

The first equation is for apopulation; the second equation is for sample data.

B.

The first equation is for sampledata; the second equation is for a population

3)Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x=99, y=98, r=0.960, P-value=0.000, and

y=21.94+1.21x, where x represents the IQ score of the olderchild. Find the best predicted value of

y given that the olderchild has an IQ of 97? Use a significance level of 0.05.

LOADING...

Click the icon to view the critical values of the Pearson correlation coefficient r.

The best predicted value of

y is

nothing

.

(Round to two decimal places asneeded.)

4)Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line.

x

12

11

3

4

5

13

9

6

7

8

10

y

8.44

9.08

1.44

3.64

5.48

7.44

9.30

6.96

8.10

8.88

9.36

y=

nothing

+

nothing

x(Round to two decimal places asneeded.)

5)Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line.

x

10

8

12

9

12

13

5

4

11

7

5

y

7.34

6.67

12.72

6.92

7.97

9.17

6.19

5.14

8.18

6.58

5.86

Create a scatterplot of the data. Choose the correct graph below.

A.

0

5

10

15

20

25

0

5

10

15

20

25

x

y

A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (10, 5); (8, 6); (12, 7); (9, 6); (12, 7); (13, 8); (5, 7); (4, 8); (11, 9); (7, 13); (5, 8).

B.

0

5

10

15

20

25

0

5

10

15

20

25

x

y

A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (4, 7.5); (5, 6.5); (5, 7); (7, 6); (8, 12.5); (9, 8); (10, 9); (11, 6); (12, 5); (12, 6.5); (13, 8).

C.

0

5

10

15

20

25

0

5

10

15

20

25

x

y

A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (10, 7.5); (8, 6.5); (12, 12.5); (9, 7); (12, 8); (13, 9); (5, 6); (4, 5); (11, 8); (7, 6.5); (5, 6).

D.

0

5

10

15

20

25

0

5

10

15

20

25

x

y

A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (7.5, 10); (6.5, 8); (12.5, 12); (7, 9); (8, 12); (9, 13); (6, 5); (5, 4); (8, 11); (6.5, 7); (6, 5).

Click to select your answer and then click Check Answer.

2parts remaining

Clear AllCheck Answer

6)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 51 inches. Is the result close to the actual weight of 495 pounds? Use a significance level of 0.05.

Chest size(inches)

47

46

49

50

38

48

Weight(pounds)

487

496

546

518

397

510

LOADING...

Click the icon to view the critical values of the Pearson correlation coefficient r.

What is the regressionequation?

y=

nothing

+

nothing

x(Round to one decimal place asneeded.)

Enter your answer in the edit fields and then click Check Answer.

7)Find the regressionequation, letting the first variable be the predictor(x) variable. Using the listedactress/actor ages in variousyears, find the best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 32 years. Is the result within 5 years of the actual Best Actorwinner, whose age was 36 years?

Best Actress

29

32

28

58

34

35

46

29

64

21

44

52

Best Actor

45

36

36

46

48

48

60

52

40

53

42

32

Find the equation of the regression line.

y=

nothing

+(

nothing

)x

(Round the constant to one decimal place as needed. Round the coefficient to three decimal places asneeded.)

10.2

1)Different hotels in a certain area are randomlyselected, and their ratings and prices were obtained online. Usingtechnology, with x representing the ratings and y representingprice, we find that the regression equation has a slope of 125 and ay-intercept of 398. Complete parts(a) and(b) below.

a. What is the equation of the regressionline? Select the correct choice below and fill in the answer boxes to complete your choice.

A.

y=

nothing

+

x

B.

y=

nothing

+

x

C.

y=

nothing

+

x

D.

y=

nothing

+

x

Click to select and enter your answer(s) and then click Check Answe

2)What is the difference between the following two regressionequations?

y=b0+b1xy=0+1x

Choose the correct answer below.

A.

The first equation is for apopulation; the second equation is for sample data.

B.

The first equation is for sampledata; the second equation is for a population.

3)Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x=99, y=98, r=0.960, P-value=0.000, and

y=21.94+1.21x, where x represents the IQ score of the olderchild. Find the best predicted value of

y given that the olderchild has an IQ of 97? Use a significance level of 0.05.

LOADING...

Click the icon to view the critical values of the Pearson correlation coefficient r.

The best predicted value of

y is

nothing

.

(Round to two decimal places asneeded.)

4)Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x=99, y=98, r=0.960, P-value=0.000, and

y=21.94+1.21x, where x represents the IQ score of the olderchild. Find the best predicted value of

y given that the olderchild has an IQ of 97? Use a significance level of 0.05.

LOADING...

Click the icon to view the critical values of the Pearson correlation coefficient r.

The best predicted value of

y is

nothing

.

(Round to two decimal places asneeded.)

4)Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line.

x

12

11

3

4

5

13

9

6

7

8

10

y

8.44

9.08

1.44

3.64

5.48

7.44

9.30

6.96

8.10

8.88

9.36

y=

nothing

+

nothing

x(Round to two decimal places asneeded.)

5)se the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line.

x

10

8

12

9

12

13

5

4

11

7

5

y

7.34

6.67

12.72

6.92

7.97

9.17

6.19

5.14

8.18

6.58

5.86

Create a scatterplot of the data. Choose the correct graph below.

A.

0

5

10

15

20

25

0

5

10

15

20

25

x

y

A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (10, 5); (8, 6); (12, 7); (9, 6); (12, 7); (13, 8); (5, 7); (4, 8); (11, 9); (7, 13); (5, 8).

B.

0

5

10

15

20

25

0

5

10

15

20

25

x

y

A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (4, 7.5); (5, 6.5); (5, 7); (7, 6); (8, 12.5); (9, 8); (10, 9); (11, 6); (12, 5); (12, 6.5); (13, 8).

C.

0

5

10

15

20

25

0

5

10

15

20

25

x

y

A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (10, 7.5); (8, 6.5); (12, 12.5); (9, 7); (12, 8); (13, 9); (5, 6); (4, 5); (11, 8); (7, 6.5); (5, 6).

D.

6)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 51 inches. Is the result close to the actual weight of 495 pounds? Use a significance level of 0.05.

Chest size(inches)

47

46

49

50

38

48

Weight(pounds)

487

496

546

518

397

510

LOADING...

Click the icon to view the critical values of the Pearson correlation coefficient r.

What is the regressionequation?

y=

nothing

+

nothing

x(Round to one decimal place asneeded.)

7)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 51 inches. Is the result close to the actual weight of 495 pounds? Use a significance level of 0.05.

Chest size(inches)

47

46

49

50

38

48

Weight(pounds)

487

496

546

518

397

510

LOADING...

Click the icon to view the critical values of the Pearson correlation coefficient r.

What is the regressionequation?

y=

nothing

+

nothing

x(R

ound to one decimal place asneeded.)

11.1

1)The table below lists leading digits of 317inter-arrival Internet traffic times for acomputer, along with the frequencies of leading digits expected withBenford's law. When using these data to test forgoodness-of-fit with the distribution described byBenford's law, identify the null and alternative hypotheses.

Leading Digit

1

2

3

4

5

6

7

8

9

Benford's Law

30.1%

17.6%

12.5%

9.7%

7.9%

6.7%

5.8%

5.1%

4.6%

Leading Digits ofInter-Arrival Traffic Times

76

62

29

33

19

27

28

21

22

Choose the correct answer below.

A.

H0: p1=0.301 and p2=0.176 and p3=0.125 and ... and p9=0.046

H1: None of the proportions are equal to the given claimed value.

2)A random sample of 771 subjects was asked to identify the day of the week that is best for quality family time. Consider the claim that the days of the week are selected with a uniform distribution so that all days have the same chance of being selected. The table below showsgoodness-of-fit test results from the claim and data from the study. Test that claim using either the critical value method or theP-value method with an assumed significance level of =0.05.

Num Categories

7

Teststatistic, 2

6.889

Degrees of freedom

6

Critical 2

12.592

Expected Freq

110.1429

P-Value

0.3312

Determine the null and alternative hypotheses.

H0:

At least two days of the week have a different frequency of being selected.

All days of the week have a different chance of being selected.

All days of the week have an equal chance of being selected.

At least one day of the week has a different chance of being selected.

H1:

At least two days of the week have a different frequency of being selected.

All days of the week have a different chance of being selected.

At least one day of the week has a different chance of being selected.

All days of the week have an equal chance of being selected.

Click to select your answer(s) and then click Check Answer.

3)Conduct the hypothesis test and provide the test statistic and the criticalvalue, and state the conclusion.

A person randomly selected 100 checks and recorded the cents portions of those checks. The table below lists those cents portions categorized according to the indicated values. Use a 0.05 significance level to test the claim that the four categories are equally likely. The person expected that many checks for whole dollar amounts would result in a disproportionately high frequency for the firstcategory, but do the results support thatexpectation?

Cents portion of check

0-24

25-49

50-74

75-99

Number

56

17

15

12

Click here to view the chi-square distribution table.LOADING...

The test statistic is

nothing

.

(Round to three decimal places asneeded.

4)Conduct the hypothesis test and provide the test statistic and the criticalvalue, and state the conclusion.

A person drilled a hole in a die and filled it with a leadweight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of1, 2,3, 4,5, and6, respectively: 28, 30, 46, 42, 29, 25. Use a 0.01 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fairdie?

Click here to view the chi-square distribution table.LOADING...

The test statistic is

nothing

.

(Round to three decimal places asneeded.)

5)Conduct the hypothesis test and provide the test statistic and the criticalvalue, and state the conclusion.

A person drilled a hole in a die and filled it with a leadweight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of1, 2,3, 4,5, and6, respectively: 28, 30, 46, 42, 29, 25. Use a 0.01 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fairdie?

Click here to view the chi-square distribution table.LOADING...

The test statistic is

nothing

.

(Round to three decimal places asneeded.)

12.2

1)Researchers randomly select and weigh men and women. Their weights are entered in the tablebelow, so that each cell includes five weights. Is the result a balanceddesign? Why or whynot?

Age

Under 30

3040

Over 40

Female

114.8, 127.1,108.8, 106.7, 124.3

149.3, 127.1,110.2, 126.0, 149.9

160.1, 181.2,255.9, 163.1, 162.8

Male

144.2, 156.3,151.3, 161.9, 151.8

175.8, 204.6,169.8, 198.0, 166.1

169.1, 139.0,103.3, 172.9, 214.5

Choose the correct answer below.

A.

Yes; the sample values are categorized in two ways.

B.

No; each cell contains an odd number of sample values.

2)The accompanying data table lists results from car crash tests. Included in results from car crash tests are loads(pounds) on the left femur and rightfemur, and those values are shown in the table below. What characteristic of the data suggests that the appropriate method of analysis istwo-way analysis ofvariance? Thatis, what is"two-way" about the data entered in thetable?

LOADING...

Click on the icon to view the data table.

Choose the correct answer below.

A.

There are two possiblities for thefemur, either left or right.

B.

The data is measured inpounds, part of the imperialsystem, which is inherentlytwo-way.

C.

The load values are categorized using two different factors of femur(left orright) and size of car(small, midsize, orlarge).

D.

In thiscase, the appropriate method of analysis is nottwo-way analysis of variance.

Click to select your answer and then click Check Answer.

3)se the technologydisplay, which results from the head injury measurements from car crash dummies listed below. The measurements are in hic(head injurycriterion) units, and they are from the same cars used for the table below. Use a 0.10 significance level to test the given claim.

Test the null hypothesis that head injury measurements are not affected by an interaction between the type of car(foreign, domestic) and size of the car(small, medium,large). What do youconclude?

LOADING...

Click the icon to view the data table and technology display.

What are the null and alternativehypotheses?

A.

H0: Head injury measurements are not affected by an interaction between type of car and size of the car.

H1: Head injury measurements are affected by an interaction between type of car and size of the car.

B.

H0: Head injury measurements are affected by an interaction between type of car and size of the car.

H1: Head injury measurements are not affected by an interaction between type of car and

12.1

1)Samples of pages were randomly selected from three different novels. The Flesch Reading Ease scores were obtained from eachpage, and theTI-83/84 Plus calculator results from analysis of variance are given below. Use a 0.01 significance level to test the claim that the three books have the same mean Flesch Reading Ease score.

LOADING...

Click the icon to view theTI-83/84 Plus calculator results.

What is the conclusion for this hypothesistest?

A.

Reject H0. There is insufficient evidence to warrant the rejection of the claim that the three books have the same mean Flesch Reading Ease score.

B.

Reject H0. There is sufficient evidence to warrant rejection of the claim that the three books have the same mean Flesch Reading Ease score.

C.

Failtoreject H0. There is insufficient evidence to warrant the rejection of the claim that the three books have the same mean Flesch Reading Ease score.

D.

Failtoreject H0. There is sufficient evidence to warrant the rejection of the claim that the three books have the same mean Flesch Reading Ease score.

Click to select your answer and then click Check Answer.

2)A certain statistics instructor participates in triathlons. The accompanying table lists times(in minutes andseconds) he recorded while riding a bicycle for five laps through each mile of a3-mile loop. Use a 0.05 significance level to test the claim that it takes the same time to ride each of the miles. Does one of the miles appear to have ahill?

LOADING...

Click the icon to view the data table of the riding times.

Determine the null and alternative hypotheses.

H0:

mu 1 not equals mu 2 not equals mu 3

123

mu 1 greater than mu 2 greater than mu 3

1>2>3

At least one of the three population means is different from the others.

Atleastoneofthethreepopulationmeansisdifferentfromtheothers.

Exactly two of the population means are different from each other.

Exactlytwoofthepopulationmeansaredifferentfromeachother.

mu 1 equals mu 2 equals mu 3

1=2=3

H1:

mu 1 equals mu 2 equals mu 3

1=2=3

Exactly one of the three population means is different from the others.

Exactlyoneofthethreepopulationmeansisdifferentfromtheothers.

mu 1 not equals mu 2 not equals mu 3

123

mu 1 greater than mu 2 greater than mu 3

1>2>3

At least one of the three population means is different from the others.

Atleastoneofthethreepopulationmeansisdifferentfromtheothers.

Click to select your answer(s) and then click Check Answer.

3)The data found below measure the amounts of greenhouse gas emissions from three types of vehicles. The measurements are in tons peryear, expressed as CO2 equivalents. Use a 0.05 significance level to test the claim that the different types of vehicle have the same mean amount of greenhouse gas emissions. Based on theresults, does the type of vehicle appear to affect the amount of greenhouse gasemissions?

LOADING...

Click the icon to view the data.

What are the hypotheses for thistest?

A.

H0: 1=2=3

H1: 12

4)Refer to the accompanying datatable, which shows the amounts of nicotine(mg percigarette) inking-size cigarettes,100-mm mentholcigarettes, and100-mm nonmenthol cigarettes. Theking-size cigarettes arenonfiltered, while the100-mm menthol cigarettes and the100-mm nonmenthol cigarettes are filtered. Use a 0.05 significance level to test the claim that the three categories of cigarettes yield the same mean amount of nicotine. Given that only theking-size cigarettes are notfiltered, do the filters appear to make adifference?

LOADING...

Click the icon to view the data table of the nicotine amounts.

Determine the null and alternative hypotheses.

H0:

Exactly two of the population means are equal.

Exactlytwoofthepopulationmeansareequal.

Not all of the population means are equal.

Notallofthepopulationmeansareequal.

At least two of the population means are equal.

Atleasttwoofthepopulationmeansareequal.

mu 1 greater than mu 2 greater than mu 3

1>2>3

mu 1 not equals mu 2 not equals mu 3

123

mu 1 equals mu 2 equals mu 3

1=2=3

H1:

5)