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Exam (elaborations)

MAT232 Statistical Literacy Week 5 Assignment 2023.

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MAT232 Statistical Literacy Week 5 Assignment 2023. Assignment: Week 5 - Assignment For the following pair of variables, state whether you believe the two variables are correlated. If you believe they are correlated, state whether the correlation is positive or negative. Explain your reasoning. The age of the pilot and the altitude of the aircraft Choose the correct answer below. A. Positive correlation because older pilots tend to fly at higher altitudes B. The variables are not correlated. C. Negative correlation because younger pilots tend to fly at higher altitudes For the following pair of variables, state whether you believe the two variables are correlated. If you believe they are correlated, state whether the correlation is positive or negative. Explain your reasoning. The IQ scores and hat sizes of randomly selected adults Choose the correct answer below. A. The variables are not correlated B. Positive correlation because adults with larger hats tend to have higher IQs C. Negative correlation because adults with larger hats tend to have higher IQs 3/4/2021 Week 5 - Assignment2/14 3. 1: Data Table Consider the following table showing speed limits and death rates from automobile accidents in selected countries. Complete parts a and b. Click the icon to view the table. 1 a. Construct a scatter diagram of the data. Choose the correct graph below. A. 50 65 80 0 3 6 Speed limit (mph) Death rate B. 50 65 80 0 3 6 Death rate Speed limit (mph) C. 50 65 80 0 3 6 Speed limit (mph) Death rate b. Calculate the correlation coefficient of the data. Briefly characterize the correlation in words (for example, moderate positive correlation, weak negative correlation). r = 0.59 (Round to two decimal places as needed.)   Characterize the correlation in words. There is a moderate positive correlation.     Country Death rate (per 100 million vehicle-miles) Speed limit (miles per hour) 1 3.1 54 2 3.4 54 3 3.5 54 4 3.6 69 5 4.2 54 6 4.4 59 7 4.8 54 8 5.0 64 9 5.2 59 10 6.2 74 3/4/2021 Week 5 - Assignment3/14 4. 2: Data Table Consider the following table showing January mean monthly precipitation and mean daily high temperature for ten cities. Complete parts a through c. Click the icon to view the table. 2 a. Construct a scatter diagram for the data. Choose the correct graph below. A. 0 3 6 0 50 100 High temperature (F) Precipitation (inches) B. 0 3 6 0 50 100 Precipitation (inches) High temperature (F) C. 0 3 6 0 50 100 Precipitation (inches) High temperature (F) b. Calculate the correlation coefficient and briefly characterize the correlation in words. r = − 0.30 (Round to two decimal places as needed.) There is a weak negative correlation. c. Can you draw any general conclusions about January temperatures and precipitation from these data? A. Precipitation and mean high temperature are fairly uncorrelated. B. Precipitation and mean high temperature are fairly correlated.

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