Suestion 29, using the large data set, (Question 13 in given for reference)QUESTION 13 IS JUST FOR REFERENCEXE 13. Internet and Nobel Laureates Listed below are numbers of Internet users per 100 peopleand numbers of Nobel Laureates per 10 million people (from Data Set 16 “Nobel Laureatesand Chocolate" in Appendix B) for different countries. Is there sufficient evidence to concludethat there is a linear correlation between Internet users and Nobel Laureates?L. 29. Internet and Nobel Laureates Repeat Exercise 13 using all of the paired Internet/Nobeldata listed in Data Set 16 “Nobel Laureates and Chocolate" in Appendix B.29. Internet and Nobel Laureates Use all of the paired Internet/Nobel data listed in DataSet 16 “Nobel Laureates and Chocolate" in Appendix B.COUNTRY CHOCOLATENOBELPOPULATIONINTERNETAustralia4.55.52279.5Austria10.224.379.8Belgium4.48.61178Brazil2.90.119745Canada3.96.13483China0.70.1134438.3Denmark8.525.3690Finland7.37.689.4France6.396579.6Germany11.612.78283Greece2.51.91153Ireland8.812.776.8Italy3.73.36156.8Japan1.81.512879.1Netherlands4.511.41792.3Norway9.425.594Poland3.63.13964.9Portugal21.91157.8Spain3.61.74667.6Sweden6.431.994Switzer land11.931.5885.2UK9.718.96386.8USA5.310.831277.9CalculationHypothesis TestProblem TypeDisrtibutionNull H_0:Alternative H_1:NotationOur CartionaonLinear Correlation Two tailStudent (t)Hypothesisrho=rho negGivenSignificancealphaSample Sizen=Point EstimateCritical Values Critical Valuetalpha/2#NUM!#NUM!Test Statistic Standard ErrorSE#NUM!Test Statistictest#NUM!CondussionReject the null,O oor

The objective is to test for correlation between two variables. Correlation indicates the…

Answered: X: 13. Internet and Nobel Laureates…

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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11) a) Create a scatterplot for the following data comparing the number of employees working at Leon's Pet Rock Shoppe and the total time it takes to do inventory: Inventory time Employees (in hours) 2 5 10 4 Time 2 7 3 3 Employees b) Is this an example of a strong positive correlation, a strong negative correlation, or a very weak correlation?
24. A sports medicine major wanted to conduct an experiment to determine if there is a correlation between the members of the soccer team's leg strength and the time it takes for them to sprint 40 yards. He sets up the following test and records the data: Every day for a week, he counts how mnany times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The table shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fir? How many seconds should he expect a player to take to run -0 yards if that player can do 22 leg-press repetitions Round any values to the nearest tenth, if necessary Leg Press (reps) 32 7 11 23 28 15 12 40-vard Dash (s) S.6 14.6 7.1 S.3 11 9 13 4 9.5 53°F a
15. Commercial real estate prices and rental rates suffered substantial declines in 2008 and 2009 (Newsweek, July 27, 2009). These declines were particularly severe in AsiaB annual lease rates in Tokyo, Hong Kong, and Singapore declined by 40% or more. Even with such large declines, annual lease rates in Asia were still higher than those in many cities in Europe. Annual lease rates for a sample of 30 commercial properties in Hong Kong showed a mean of $1,114 per square meter with a standard deviation of $230.
5. In the United States, there is a strong relationship between education and smoking: well-educated people are less likely to smoke. Does a similar relationship hold in France? To find out, researchers recorded the level of education and smoking status of a random sample of 459 French men aged 20 to 60 years.36 The two-way table below displays the data. Is there convincing evidence of an association between smoking status and educational level among French men aged 20 to 60 years? Smoking Status Nonsmoker Former Moderate Heavy Primary School 56 54 41 36 Education Secondary School 37 43 27 32 University 53 28 36 16
a) Studies have shown that a positive association exists between educational level and annual salary; in other words, people with more education tend to make more money. i. Does this finding mean that more education causes a person to make more money? Explain your answer. ii. Do you think there is a causal relationship between educational level and annual salary? Explain your answer.
6. Accidents on highways are one of the main causes of death or injury in developing countries and the weather conditions have an impact on the rates of death and injury. In foggy, rainy, and sunny conditions, 1/4, 1/8, and 1/21 of the accidents result in death, respectively. Sunny conditions occur 60% of the time, while rainy and foggy conditions each occur 20% of the time. Given that an accident without deaths occurred, what is the conditional probability that it was foggy at the time?
4. Straight As now, healthy later A study by Pamela Herd of the University of Wisconsin-Madison found a link between high-school grades and health. Analyzing data from the Wisconsin Longitudinal Study, which has tracked the lives of thousands of Wisconsin high-school graduates from the class of 1957, Herd found that students with higher grade-point averages were more likely to say they were in excellent or very good health in their early 60s. Does this mean people will live healthier lives if they increase their GPA? Explain.47
1.76 Peace Corps Volunteers. The Peace Corps is an indepen- dent U.S. government agency that provides trained volunteers for countries requesting assistance. According to Peacecorps.org, as of September 2012, volunteers currently serve in about 76 different host countries. The average age of a volunteer is about 28 years old. The following table reports the percentage of total volunteers serving by geographic region. Percent of volunteers Region Africa 43% Latin America 21% Eastern Europe/Central Asia 15% Asia 10% Caribbean 4% North Africa/Middle East 4% Pacific Islands 3% a. Use the table to design a procedure for obtaining a stratified sam- ple (with proportional allocation) of 50 Peace Corps volunteers. b. If stratified random sampling with proportional allocation is used to select the sample of 50 Peace Corps volunteers, how many would be selected from the Caribbean?
3. The table below shows the expected years of schooling and gross domestic product (GDP) of the Southeast Asian countries in 2017. Use this information to answer the following: 1. Determine the correlation between the expected years of schooling and GDP. II. Based on the result, what can you conclude about the relationship between the expected years of schooling and GDP? Country Expected Years of Schooling GDP per capita (in international-$) Brunei 14.5 71809.3 Cambodia 11.7 3645.1 Indonesia 12.8 11188.7 Laos 11.2 6397.4 Malaysia 13.7 26808.2 Myanmar 10 5591.2 Philippines 12.6 7599.2 Singapore 16.2 85535.4 Thailand 14.7 16277.7 Vietnam 12.7 6171.9 Source: https://ourworldindata.org/grapher/expected-years-of-schooling-vs-qdp-per-capita
10. The most common species of sweat bees are green, red, and yellow. For each color, we select a sample of 100 of bees of this color and record their length (in inches). We then create 3 data sets of 100 observations each, called "green", "red" and "yellow". Below are the boxplots and histograms for these data sets. The labels of the variables are missing from the histograms, but are included in the boxplots. Our task is to identify the missing labels. Which one of the following statements is correct? HAE 1141 (a) green (b) red (c) yellow 00 0.5 1.0 1.5 2.0 0.5 1.0 1.5 20 0.0 05 1.0 1.5 (d) (e) (f) A) Histogram (d) is for green, (e) is for red, and (f) is for yellow. B) Histogram (f) is for green, (e) is for red, and (d) is for yellow. C) Histogram (e) is for green, (f) is for red, and (d) is for yellow. D) Histogram (f) is for green, (d) is for red, and (e) is for yellow. E) Histogram (d) is for green, (f) is for red, and (e) is for yellow. 9 2.0
10. The most common species of sweat bees are green, red, and yellow. For each color, we select a sample of 100 of bees of this color and record their length (in inches). We then create 3 data sets of 100 observations each, called "green", "red" and “yellow". Below are the boxplots and histograms for these data sets. The labels of the variables are missing from the histograms, but are included in the boxplots. Our task is to identify the missing labels. Which one of the following statements is correct? (a) green (b) red (c) yellow 0.0 0.5 1.0 1.5 2.0 0.0 0.5 1.0 1.5 2.0 0.0 0.5 1.0 1.5 2.0 (d) (e) (f) A) Histogram (d) is for green, (e) is for red, and (f) is for yellow. B) Histogram (f) is for green, (e) is for red, and (d) is for yellow. C) Histogram (e) is for green, (f) is for red, and (d) is for yellow. D) Histogram (f) is for green, (d) is for red, and (e) is for yellow. E) Histogram (d) is for green, (f) is for red, and (e) is for yellow. Frequency O'Z 02 4 Frequency OL Frequency…
3. Some sports psychologists believe that an athlete's motivation is related to how many hours they will devote to training in a 2-week period. To see if this is true, a sports trainer measures the motivation (M) and training hours (TH) of a random sample of 8 Olympic-class athletes and obtains the following data: M TH 57 40 74 46 42 38 48 36 75 54 62 42 665 76 550 69 25 a) Is there a significant correlation between M and TH in this sample (a≤.05)? (8 points) b) If another athlete obtained an M score of 70, what would his or her predicted TH score be and what are the 90% bounds to the error of this prediction? (10 points)

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