Questions
The following sample observations were randomly selected: 1 2 3 4 5 X: 15 8 9...

The following sample observations were randomly selected:

1 2 3 4 5
X: 15 8 9 12 8
Y: 25 22 16 16 14

            
a. Not available in Connect.

b. Determine the regression equation. (Negative answer should be indicated by a minus sign. Do not round intermediate calculations. Round the final answers to 4 decimal places.)   

                                        
b =----  a =----

Y' = -----+-----  X

           
c. Determine the value of Y' when X is 26. (Do not round intermediate calculations. Round the final answer to 4 decimal places.)

In: Statistics and Probability

How to do survival analysis in excel with this data Life expectancy of males in years...

How to do survival analysis in excel with this data

Life expectancy of males in years from 2005 to 2015

Country 2005, LE-M (years) 2015, LE-M (years)
Afghanistan 55.8 61.1
Albania 72.3 75.6
Algeria 70.1 74.1
Angola 47.5 57.4
Antigua and Barbuda 71.5 73.3
Argentina 70.6 72.2
Armenia 69.1 70.6
Aruba 71.5 72.9
Australia 77.8 80.2
Austria 75.9 78.4
Azerbaijan 64.6 68.6
Bahamas 70 72
Bahrain 74.2 75.6
Bangladesh 66.2 69.8
Barbados 71.4 72.9
Belarus 62.3 66.5
Belgium 75.3 78
Belize 65.7 67.2
Benin 54.6 58.5
Bhutan 62.7 68.6
Bolivia (Plurin. State of) 60.1 65.3
Bosnia and Herzegovina 72 73.7
Botswana 47.3 59.8
Brazil 67.3 71
Brunei Darussalam 74.2 75.1
Bulgaria 68.8 70.8
Burkina Faso 50.5 58
Burundi 50.3 54.2
Cabo Verde 69.5 70.1
Cambodia 58.5 65.5
Cameroon 50.6 55.1
Canada 77.2 79.7
Central African Republic 42.5 47.8
Chad 46.8 50.5
Channel Islands 76 78.7
Chile 74.3 76.2
China 71.7 74.2
China, Hong Kong SAR 78.5 80.5
China, Macao SAR 78.2 80.3
Colombia 68 70.2
Comoros 58 61.2
Congo 51.1 61
Costa Rica 75.5 76.7
Côte d'Ivoire 45.9 50.4
Croatia 71.4 73.6
Cuba 75.3 77.1
Curaçao 71.2 74.5
Cyprus 76.3 77.7
Czechia 72.2 75.1
Dem. People's Rep. Korea 64.2 67.2
Dem. Rep. of the Congo 50.4 56.7
Denmark 75 78.1
Djibouti 55.9 60
Dominican Republic 68.1 70.2
Ecuador 70.7 72.8
Egypt 66.7 68.7
El Salvador 65 67.9
Equatorial Guinea 52.3 55.5
Eritrea 54.7 61.4
Estonia 66 71.9
Ethiopia 52.3 61.9
Fiji 65.5 66.9
Finland 74.9 77.7
France 75.8 78.8
French Guiana 72.8 76.1
French Polynesia 70.7 74
Gabon 58.3 63.1
Gambia 55.9 59.1
Georgia 68.9 68.5
Germany 75.6 77.9
Ghana 56.7 60.7
Greece 76.4 78
Grenada 68.5 70.8
Guadeloupe 74.3 76.8
Guam 73.6 76.4
Guatemala 65.7 69.2
Guinea 51.3 57.5
Guinea-Bissau 52 54.3
Guyana 62.6 64
Haiti 56.5 60.2
Honduras 68.6 70.4
Hungary 68.3 71.7
Iceland 78.8 80.6
India 62.7 66.2
Indonesia 64.9 66.6
Iran (Islamic Republic of) 70 74
Iraq 66.9 67
Ireland 75.3 78.7
Israel 77.4 80
Italy 77.3 79.9
Jamaica 70.1 73.1
Japan 78.3 80
Jordan 70.8 72.2
Kazakhstan 59.1 64.3
Kenya 51 63
Kiribati 61.6 62.4
Kuwait 72.6 73.5
Kyrgyzstan 63 66.4
Lao People's Dem. Rep. 59 63.9
Latvia 65.2 68.8
Lebanon 73.9 77.3
Lesotho 44.7 50.1
Liberia 51.6 59.8
Libya 69.1 68.8
Lithuania 65.7 68.5
Luxembourg 75.1 78.8
Madagascar 58.8 63
Malawi 45.7 58.2
Malaysia 71.2 72.6
Maldives 71.1 75.4
Mali 49.3 55.6
Malta 76.8 78.6
Martinique 75.5 77.8
Mauritania 58.6 61.2
Mauritius 68.9 70.7
Mayotte 73 76
Mexico 72.4 74
Micronesia (Fed. States of) 66.9 67.7
Mongolia 60.8 64.5
Montenegro 70.6 74
Morocco 68.5 73.7
Mozambique 47.9 54
Myanmar 60.9 63.7
Namibia 51.7 59.1
Nepal 62.9 67.4
Netherlands 76.2 79.4
New Caledonia 71.3 73.7
New Zealand 76.8 79.5
Nicaragua 68 71.4
Niger 50.8 57.6
Nigeria 46.1 51.2
Norway 76.8 79.5
Oman 71.4 74.5
Pakistan 62.5 65
Palau 66.3 68.1
Panama 73 74.3
Papua New Guinea 60.3 62.6
Paraguay 68.7 70.7
Peru 69 71.5
Philippines 64.4 65.4
Poland 70.4 72.9
Portugal 74.1 77.3
Puerto Rico 72.7 75.2
Qatar 75.6 76.9
Republic of Korea 73.6 77.9
Republic of Moldova 63.6 66.7
Réunion 73 76
Romania 67.9 71.4
Russian Federation 58.6 64.7
Rwanda 49.6 63.1
Saint Lucia 70.1 72.2
Saint Vincent & Grenadines 68.3 70.7
Samoa 67.2 71.1
Sao Tome and Principe 62 64.1
Saudi Arabia 71.5 72.7
Senegal 57.3 63.8
Serbia 69.4 71.8
Seychelles 67.9 68.7
Sierra Leone 40.1 49.7
Singapore 76.7 80.1
Slovakia 69.8 72.7
Slovenia 72.8 77.3
Solomon Islands 63.5 68.3
Somalia 50 53.3
South Africa 51.2 56.1
South Sudan 49.1 54.1
Spain 76.5 79.6
Sri Lanka 69.6 71.2
State of Palestine 69.5 71.1
Sudan 57.5 62.1
Suriname 64.8 67.8
Swaziland 44.2 51.6
Sweden 77.9 80
Switzerland 77.7 80.5
Syrian Arab Republic 71.4 64.4
Tajikistan 63.6 67.7
TFYR of Macedonia 71.3 73.2
Thailand 67.7 70.8
Timor-Leste 60 66.1
Togo 53 58.3
Tonga 68.8 69.6
Trinidad and Tobago 65.1 66.9
Tunisia 71.4 73
Turkey 68 71.5
Turkmenistan 60.3 63.9
Uganda 47.8 56.5
Ukraine 61.9 66.1
United Arab Emirates 74.1 76
United Kingdom 76.1 79
United Rep. of Tanzania 52 60.8
United States of America 74.5 76.5
United States Virgin Islands 74.9 76.7
Uruguay 71.6 73.3
Uzbekistan 64.5 68.1
Vanuatu 66.7 69.4
Venezuela (Boliv. Rep. of) 68.8 69.9
Viet Nam 68.9 70.7
Western Sahara 62.3 66.9
Yemen 59.7 62.8
Zambia 45.3 57.5
Zimbabwe 42.7 56.1

In: Statistics and Probability

The postanesthesia care area (recovery room) at St. Luke’s Hospital in Maumee, Ohio, was recently enlarged....

The postanesthesia care area (recovery room) at St. Luke’s Hospital in Maumee, Ohio, was recently enlarged. The hope was that the change would increase the mean number of patients served per day to more than 25. A random sample of 15 days revealed the following numbers of patients.

25 27 25 26 25 28 28 27 24 26 25 29 25 27 24

At the 0.01 significance level, can we conclude that the mean number of patients per day is more than 25?

  Click here for the Excel Data File

  1. What is the decision rule? (Round your answer to 3 decimal places.)
  1. Compute the value of the test statistic. (Round your answer to 3 decimal places.)
  1. What is your decision regarding H0?
  1. Estimate the p-value.

In: Statistics and Probability

Sports that involve a significant amount of running, jumping, or hopping put athletes at risk for...

Sports that involve a significant amount of running, jumping, or hopping put athletes at risk for Achilles Tendinopathy (AT), an inflammation and thickening of the Achilles tendon. A study in a medical journal looked at the diameter (in mm) of the affected and nonaffected tendons for patients who participated in these types of sports activities. Suppose that the Achilles Tendon diameters in the general population have a mean of 5.94 millimetres (mm) with a standard deviation of 1.92 mm. What average tendon diameters should we see 80% of the time in any random sample of 31 drawn from the general population?

In: Statistics and Probability

The company manufactures chocolate bars with nominal weight of 115 g per bar. In order to...

The company manufactures chocolate bars with nominal weight of 115 g per bar. In order to to avoid risk of short changing, the mean weight is set as 117 g and SD of 2 g.

Assuming that 40 chocolate bars are selected, 97% of the sample means will be between what value? ( give the upper and lower value)

In: Statistics and Probability

1) The proportion of people at shopping mall who wear red shirts is p = 0.18....

1) The proportion of people at shopping mall who wear red shirts is p = 0.18. What is the mean of the sampling distribution given a sample size of 50? What is the standard deviation? (Central Limit Throrem).

2) What is the probability given a random sample of 50 people at shopping mall that more than 20% of them are wearing red shirts?

3) CONF. INT Suppose you take a random sample of 50 people at shopping mall and find that 9 were wearing red shirts. Construct a 90% confidence interval for the true proportion.

4) CONF. INT] Suppose you take a random sample of 50 people at shopping mall and find that 4 were wearing red shirts. Construct a 95% confidence interval for the true proportion.

5) [CONF. INT] If the true proportion is p = 0.18, which of our confidence intervals contains it? Which don’t?

In: Statistics and Probability

There are 2 full boxes of numbered tickets. The numbers in box A have a mean...

There are 2 full boxes of numbered tickets. The numbers in box A have a mean = 10 and a standard deviation = 5. For box B,mean= 10,SD= 9.

A) If you draw 64 numbers (with replacement) from box A, you expect the SUM to be about _____. give or take about ______. (Show your work)

B) If you draw 100 numbers (with replacement) from box B, you expect the MEAN to be about___, give or take about ____. (Show your work.)

C) If you average 25 numbers from box A, and you average 64 numbers from box B, which do you expect to be closer to 10 ? Explain.

In: Statistics and Probability

A researcher is trying to predict test scores from student’s level of stress. What is the...

A researcher is trying to predict test scores from student’s level of stress. What is the standardized regression equation for the following data taken from 10 students? The average level of stress for students is 9.50 with a standard deviation of 2.76. The average test score for students is 12.50 with a standard deviation of 5.13. The correlation stress and test scores is 0.88.

a) ZY’ = 0.54 (ZX) b) ZY’ = 1.32 (ZX) c) ZY’ = .88 (ZX) d) ZY’ = 1.86 (ZX)

In: Statistics and Probability

A spinner has 8 equal sections numbered 1 to 8. what is the probability of th...

A spinner has 8 equal sections numbered 1 to 8. what is the probability of th spinner stopping on a number that is a multiple of 3 or is greater than 5?

In: Statistics and Probability

7.) The target temperature for a hot beverage the moment it is dispensed from a vending...

7.) The target temperature for a hot beverage the moment it is dispensed from a vending machine is 173◦F. A sample of 15 randomly selected servings from a newly manufactured vending machine gave a mean temperature of 170◦F with a standard deviation of 6.4◦F. Using our 6-step process, test that the mean tem- perature dispensed from this new machine differs from the target temperature.

In: Statistics and Probability

(1) What two plots might you use to check whether a given time series is stationary?...

(1) What two plots might you use to check whether a given time series is stationary? How are they used?
(2) What plot might you use to determine the order of an MA process? What plot might you use to determine the order of an AR process? How are they used?
(3) After fitting a time series model, what two plots might you use to assess whether the fitted model is appropriate? How are they used?

In: Statistics and Probability

How to do survival analysis in excel with this data Life expectancy of females in years...

How to do survival analysis in excel with this data

Life expectancy of females in years from 2005 to 2015

Country 2005, LE-F(years) 2015, LE-F(years)
Afghanistan 58.1 63.5
Albania 77.8 79.9
Algeria 72.9 76.5
Angola 52.5 63
Antigua and Barbuda 76.4 78.2
Argentina 78.1 79.8
Armenia 75.3 77
Aruba 76.4 77.8
Australia 82.8 84.4
Austria 81.7 83.5
Azerbaijan 70.3 74.6
Bahamas 76.2 78.1
Bahrain 75.9 77.5
Bangladesh 67.3 72.9
Barbados 76 77.7
Belarus 73.7 77.7
Belgium 81.4 83
Belize 71.6 72.7
Benin 57.7 61.4
Bhutan 63.1 68.9
Bolivia (Plurin. State of) 64.3 70.2
Bosnia and Herzegovina 77.5 78.8
Botswana 51 66.1
Brazil 75 78.4
Brunei Darussalam 77.5 78.4
Bulgaria 75.8 77.8
Burkina Faso 52.6 59.3
Burundi 53.7 58
Cabo Verde 72.8 74
Cambodia 63 69.6
Cameroon 52.3 57.7
Canada 82.1 83.8
Central African Republic 44.9 51
Chad 48.5 52.8
Channel Islands 80.5 82.4
Chile 80.3 81.3
China 74.7 77.2
China, Hong Kong SAR 84.5 86.4
China, Macao SAR 83.6 86.2
Colombia 75.4 77.4
Comoros 61.2 64.5
Congo 53.1 64.1
Costa Rica 80.2 81.7
Côte d'Ivoire 47.6 53.2
Croatia 78.4 80.4
Cuba 79.1 81.3
Curaçao 78.6 80.7
Cyprus 80.5 82.2
Czechia 78.8 81.2
Dem. People's Rep. Korea 71.5 74.1
Dem. Rep. of the Congo 53.3 59.5
Denmark 79.6 82.2
Djibouti 58.8 63.2
Dominican Republic 74.4 76.5
Ecuador 76.8 78.4
Egypt 71.4 73.1
El Salvador 74.1 77.1
Equatorial Guinea 54.9 58.4
Eritrea 58.8 65.6
Estonia 77.1 81.2
Ethiopia 55 65.5
Fiji 70.7 72.9
Finland 81.7 83.7
France 83.1 85
French Guiana 80.1 82.6
French Polynesia 76.1 78.6
Gabon 59.8 65.8
Gambia 58.1 61.6
Georgia 76.1 77
Germany 81.5 82.9
Ghana 58.3 62.6
Greece 81.9 83.3
Grenada 73.2 75.6
Guadeloupe 81.4 84
Guam 78.5 81.5
Guatemala 72.1 75.6
Guinea 51.3 58.4
Guinea-Bissau 53.3 57.7
Guyana 68.1 68.6
Haiti 60.1 64.4
Honduras 73.4 75.4
Hungary 76.7 78.9
Iceland 82.6 83.8
India 64.4 69.1
Indonesia 68.5 70.7
Iran (Islamic Republic of) 72.3 76.2
Iraq 71 71.4
Ireland 80.4 83
Israel 81.6 83.7
Italy 83.1 84.7
Jamaica 75.6 77.9
Japan 85.2 86.4
Jordan 73.8 75.5
Kazakhstan 70.4 73.9
Kenya 54.5 67.8
Kiribati 67.5 68.9
Kuwait 74.4 75.5
Kyrgyzstan 71 74.3
Lao People's Dem. Rep. 61.7 66.8
Latvia 76.2 78.7
Lebanon 77.4 80.9
Lesotho 46.4 54.7
Liberia 53.2 61.6
Libya 72.8 74.4
Lithuania 77.5 79.3
Luxembourg 81.4 83.5
Madagascar 61.3 66
Malawi 48.9 63.1
Malaysia 75.4 77.1
Maldives 73.9 77.4
Mali 50.6 56.9
Malta 80.2 82
Martinique 82.2 84.4
Mauritania 61.9 64.1
Mauritius 75.5 77.7
Mayotte 80.6 82.9
Mexico 77.4 78.9
Micronesia (Fed. States of) 68.2 69.9
Mongolia 67.7 72.7
Montenegro 76.2 78.8
Morocco 71.4 76
Mozambique 51.2 58.1
Myanmar 65 68.3
Namibia 55.9 64.3
Nepal 65.2 70.5
Netherlands 81 83.1
New Caledonia 77.2 79.3
New Zealand 81.3 83.1
Nicaragua 73.8 77.5
Niger 52 59.5
Nigeria 47.8 52.6
Norway 81.8 83.6
Oman 75.5 78.7
Pakistan 64.3 66.8
Palau 72.1 77.8
Panama 78.2 80.5
Papua New Guinea 65.1 67.5
Paraguay 72.9 74.9
Peru 74.3 76.8
Philippines 70.8 72.1
Poland 78.8 81
Portugal 81 83.5
Puerto Rico 80.9 83.2
Qatar 78.1 79.4
Republic of Korea 80.6 84.4
Republic of Moldova 71.6 75.2
Réunion 80.6 82.9
Romania 75.2 78.4
Russian Federation 72 75.9
Rwanda 51.5 67.1
Saint Lucia 74 77.6
Saint Vincent & Grenadines 73.3 74.9
Samoa 73.6 77.4
Sao Tome and Principe 65.6 68.2
Saudi Arabia 74.6 75.6
Senegal 60.6 67.5
Serbia 75.4 77.5
Seychelles 76.8 77.9
Sierra Leone 42.6 50.7
Singapore 81.8 84.5
Slovakia 77.8 79.8
Slovenia 80.4 83.3
Solomon Islands 66 71.1
Somalia 53.1 56.5
South Africa 56.7 63
South Sudan 51.3 56
Spain 83.3 85.3
Sri Lanka 77.1 78
State of Palestine 72.9 74.8
Sudan 61.3 65.1
Suriname 71.7 74.2
Swaziland 47.6 58.2
Sweden 82.3 83.7
Switzerland 83.1 84.8
Syrian Arab Republic 75.9 76.3
Tajikistan 69.6 73.5
TFYR of Macedonia 76.4 77.2
Thailand 74.9 78.4
Timor-Leste 63 69.5
Togo 54.7 59.8
Tonga 73.5 75.6
Trinidad and Tobago 72.5 73.8
Tunisia 76.3 77.1
Turkey 74.9 78.1
Turkmenistan 68.2 70.8
Uganda 52.1 60.7
Ukraine 73.4 76
United Arab Emirates 76.3 78.2
United Kingdom 80.6 82.8
United Rep. of Tanzania 55.4 64.8
United States of America 79.7 81.3
United States Virgin Islands 79.5 81.5
Uruguay 78.9 80.4
Uzbekistan 71 73.5
Vanuatu 70.3 73.6
Venezuela (Boliv. Rep. of) 77.2 78.2
Viet Nam 78.7 80.3
Western Sahara 65.8 70.3
Yemen 62.4 65.6
Zambia 48.5 61.9
Zimbabwe 45.5 59

In: Statistics and Probability

In an examination of holiday spending (known to be normally distributed) of a sample of 16...

In an examination of holiday spending (known to be normally distributed) of a sample of 16 holiday shoppers at a local mall, an average of $54 was spent per hour of shopping. Based on the current sample, the standard deviation is equal to $21. Find a 90% confidence interval for the population mean level of spending per hour.

In: Statistics and Probability

Structurally deficient highway bridges. Data on structurally deficient highway bridges is compiled by the Federal Highway...

Structurally deficient highway bridges. Data on structurally deficient highway bridges is compiled by the Federal Highway Administration (FHWA) and reported in the National Bridge Inventory (NBI). For each state, the NBI lists the number of structurally deficient bridges and the total area (thousands of square feet) of the deficient bridges. The data for the 50 states (plus the District of Columbia and Puerto Rico). For future planning and budgeting, the FHWA wants to estimate the total area of structurally deficient bridges in a state based on the number of deficient bridges

NumberSD

SDArea

1899

432.71

155

60.92

181

110.57

997

347.35

3140

5177.97

580

316.92

358

387.78

20

9.05

24

59.34

302

412.92

1028

344.86

142

39.8

349

135.43

2501

1192.43

2030

688.19

5153

1069.71

2991

527.47

1362

458.37

1780

1453.26

349

131.13

388

236.18

585

521.83

1584

804.15

1156

325.9

3002

692.75

4433

1187.42

473

90.94

2382

335.75

47

20.08

383

127.66

750

752.43

404

196.67

2128

1427.73

2272

1034.61

743

101.42

2862

965.16

5793

1423.25

514

393.96

5802

2404.61

164

237.96

1260

626.38

1216

209.33

1325

481.31

2186

1031.45

233

102.56

500

153.8

1208

483.68

400

502.03

1058

331.59

1302

399.8

389

143.46

241

195.43

a) Deplaned on scatterplot, can you use linear regression to predict SDArea based onNumberSD? Explain.

b) Develop a simple linear regression equation to predict SDArea based on NumberSD.

c) Is the model you found in (a) a good fit? Why or why not?

d) Predict the SDArea when the NumberSD is 1260 bridges. Find the corresponding residuals.

e) Build a 90% CI, confidence interval, for coefficient of NumberSD ( b1).

f) Repeat (e) with a 95% CI. What is the difference between your answer in (e) and (f)?

In: Statistics and Probability

The table below gives the number of parking tickets received in one semester and the GPA...

The table below gives the number of parking tickets received in one semester and the GPA for five randomly selected college students who drive to campus. Using this data, consider the equation of the regression line, yˆ=b0+b1x, for predicting the GPA of a college student who drives to campus based on the number of parking tickets they receive in one semester. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant.

Number of Tickets 0 1 2 6 8

GPA 3.1 2.7 2.5 2.3 1.6

Step 1 of 6:

Find the estimated slope. Round your answer to three decimal places.

Step 2 of 6:

Find the estimated y-intercept. Round your answer to three decimal places.

Step 3 of 6:

Determine the value of the dependent variable yˆy^ at x=0x=0.

Step 4 of 6:

According to the estimated linear model, if the value of the independent variable is increased by one unit, then the change in the dependent variable yˆy^ is given by?

Step 5 of 6:

Determine if the statement "All points predicted by the linear model fall on the same line" is true or false.

Step 6 of 6:

Find the value of the coefficient of determination. Round your answer to three decimal places.

In: Statistics and Probability