Using JMP, calculate correlation coefficient (r) and coefficient of determination (r) for each association and determine...

Transcribed Image Text:

Using JMP, calculate correlation coefficient (r) and coefficient of determination (r) for each association and determine the values in the below table. Refer to the textbook 12.3. (15%) Variables Correlation coefficient (r) Coefficient of determination () Year and number of wildfires Year and total burned area Year and burned area per fire Based on the visual assessments and correlation coefficient in questions 2 and 3, select one of the three associations which is both strong and linear? Circle one. (5%) A. Association between year and number of wildfires B. Association between year and burned area C. Association between year and burned area per fire Using JMP, calculate the regression equation for the association you have selected in question 4. Note that year is the independent variable. Write down the equation. Refer to the textbook 12.3. (15%) 5. Interpret the slope of the regression equation you have reported in Question 5 in words. Note that reporting the value of the slope is not sufficient. You need to describe what the value implies. Refer to the textbook 12.3. (10%) Based on the coefficient of determination you calculated in Question 3, what percentage in the variability in the dependent variable is explained by year? Refer to the textbook 12.3. (10%) % Based on your analysis from Questions 1 to 7, what would you report to your supervisor? Is there any trend in number of wildfires, area burned, and/or area burned per wildfire between 2000 to 2019? Describe your conclusion in words. (15%) Date 2000 2001 2002 2003 2004 2005 Number of Acres Burn Acres Burned per Fire 9,135 606,869 66.4 6,961 367,544 52.8 13,942 1,702,508 122.1 5,744 361,081 62.9 6,554 1,142,287 4,684 1,331,249 2006 15,403 1,196,351 2007 9,654 2008 9,536 2009 6,614 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 502,835 672,117 493,268 4,027 812,459 6,567 1,345,060 5,415 1,363,293 4,046 1,252,719 4,463 172,860 6,430 1,868,614 5,230 526,926 5.336 600,373 5,112 812.501 5.657 1.331.968 5.939 1.035.963 174.3 284.2 77.7 52.1 70.5 74.6 201.8 204.8 251.8 309.6 38.7 290.6 100.8 112.5 158.9 235.5 174.4 Using JMP, calculate correlation coefficient (r) and coefficient of determination (r) for each association and determine the values in the below table. Refer to the textbook 12.3. (15%) Variables Correlation coefficient (r) Coefficient of determination () Year and number of wildfires Year and total burned area Year and burned area per fire Based on the visual assessments and correlation coefficient in questions 2 and 3, select one of the three associations which is both strong and linear? Circle one. (5%) A. Association between year and number of wildfires B. Association between year and burned area C. Association between year and burned area per fire Using JMP, calculate the regression equation for the association you have selected in question 4. Note that year is the independent variable. Write down the equation. Refer to the textbook 12.3. (15%) 5. Interpret the slope of the regression equation you have reported in Question 5 in words. Note that reporting the value of the slope is not sufficient. You need to describe what the value implies. Refer to the textbook 12.3. (10%) Based on the coefficient of determination you calculated in Question 3, what percentage in the variability in the dependent variable is explained by year? Refer to the textbook 12.3. (10%) % Based on your analysis from Questions 1 to 7, what would you report to your supervisor? Is there any trend in number of wildfires, area burned, and/or area burned per wildfire between 2000 to 2019? Describe your conclusion in words. (15%) Date 2000 2001 2002 2003 2004 2005 Number of Acres Burn Acres Burned per Fire 9,135 606,869 66.4 6,961 367,544 52.8 13,942 1,702,508 122.1 5,744 361,081 62.9 6,554 1,142,287 4,684 1,331,249 2006 15,403 1,196,351 2007 9,654 2008 9,536 2009 6,614 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 502,835 672,117 493,268 4,027 812,459 6,567 1,345,060 5,415 1,363,293 4,046 1,252,719 4,463 172,860 6,430 1,868,614 5,230 526,926 5.336 600,373 5,112 812.501 5.657 1.331.968 5.939 1.035.963 174.3 284.2 77.7 52.1 70.5 74.6 201.8 204.8 251.8 309.6 38.7 290.6 100.8 112.5 158.9 235.5 174.4