STATISTICS AND PROBABILITY- UNDERSTANDING BIVARIATE DATA

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A. Cite three examples of two variables that are negatively correlated and three bivariate data that are positively correlated. Explain\fB. Construct the scatter plots and a trend line for the following data and identify the direction and the strength of the correlation 1. Age of a tree in years 2 2.7 3 3.5 15 6.8 8 9.1 9.5 10 Height of the tree in ft 3 3 5 6 6 7 9 11 12 14 2. Age of smartphone in months 1 3 5 9 12 15 17 19 24 36 Battery life in percent (%) 100 99 99 98 98 97 97 96 94 91 3. Intelligence Qoutient 140 120 75 90 101 93 90 80 84 103 Grade in Mathematics 99 89 79 80 90 92 88 86 85 91 C. Determine the relationship of the bivariate data if it is positive or negative. 1. If the number of mosquitos increases, the number of dengue patients increases 2. As a jewelry ages, the higher its price. 3. The slower the internet, the more time spent online. 4. The more workers are hired to build a school, the sooner the job is done.5. As the price increases, the demand of a person to buy goods and services decreases. D. Determine the two variables if they are correlated or not. Tell the direction of the association if they are correlated. Evaluate whether the correlation is most likely weak orstrong. 1. Corruption rate and Gross National Product 2. Level of Technology of a Country and Production of Goods 3. Price and Age of Cellphone 4. General Weighted Average in College and Yearly Income of an Employee 5. Annual Electricity Bill and Annual Water Bill in Houses