Question

In: Statistics and Probability

listed below are the numbers of forest fires (in thousands) and the acres that were burned...

listed below are the numbers of forest fires (in thousands) and the acres that were burned (in hundred thousands) during a year.

x 70 65 58 48 83 65 56 42

y 28 41 22 27 53 19 30 18

find the value of the linear correlation coefficient r and use a significance level of a=0.05 to determine whether there is a significant linear correlation between the two variables.

Find the best predicted value (including units) for the number of acres burned given that there were 60 thousand fires.

Solutions

Expert Solution


Related Solutions

Listed below are the numbers of forest fires (in thousands) and the acres that were burned...
Listed below are the numbers of forest fires (in thousands) and the acres that were burned (in hundred thousands) during a year. Fires, x 72 69 58 47 84 62 57 45 Acres, y 62 41 19 26 51 15 30 15 a) Find the value of the linear correlation coefficient r and use a significance level of α = 0.05 to determine whether there is a significant linear correlation between the two variables. b) Find the best predicted value...
The average number of acres burned by forest and range fires in a large New Mexico...
The average number of acres burned by forest and range fires in a large New Mexico county is 4,300 acres per year, with a standard deviation of 750 acres. The distribution of the number of acres burned is normal. [4 decimal places] What is the probability that between 2,500 and 4,200 acres will be burned in any given year? * 2 points Your answer What is the probability that less than 4000 acres were burned? * 2 points Your answer...
Numbers (in thousands) of forest fires over the year and the number (in hundred thousands) of...
Numbers (in thousands) of forest fires over the year and the number (in hundred thousands) of aces burned for 7 recent years are shown. Number of fires (x): 72 69 58 47 84 62 57 Number of acres burned (y): 73 70 59 48 85 63 58 The correlation coefficient for the data is r = 1 and standard deviation = 0.05. Should the regression analysis be done? Find the equation of the regression line. Round to three decimal places....
An environmentalist wants to determine the relationship between the number of fires, in thousands, and the number of acres burned, in hundreds of thousands.
  An environmentalist wants to determine the relationship between the number of fires, in thousands, and the number of acres burned, in hundreds of thousands. Based on this data, decide if the correlation is significant at alpha = 0.05. Number of fires x 73 74 58 48 80 65 54 49 Number of acres burned y 64 46 22 23 51 12 29 10 1. Draw a scatter plot of the data. 2. Showing all work calculate r. 3. Showing...
A) Listed below are numbers of registered pleasure boats in Florida measured in tens of thousands...
A) Listed below are numbers of registered pleasure boats in Florida measured in tens of thousands (the x-values) and the numbers of manatee fatalities from encounters with boats in Florida (the y-values) for each of several recent years. Find the linear correlation coefficient (r). [Round to 3 decimal places] x y xy x2 y2 99 92 9108 9801 8464 99 73 7227 9801 5329 97 90 8730 9409 8100 95 97 9215 9025 9409 90 83 7470 8100 6889 90...
The number of fires in a certain forest follows a Poisson process at a rate of...
The number of fires in a certain forest follows a Poisson process at a rate of 0.40 per week. A) What is the probability that there are no more than 3 fires in a given week? B) What is the the probability that the time between fires is at least 3 weeks?
Design a Spatial Decision Support System (SDSS) to manage forest fires.
Design a Spatial Decision Support System (SDSS) to manage forest fires.
An environmentalist wants to determine the relationship between the number of fires, in thousands, and the...
An environmentalist wants to determine the relationship between the number of fires, in thousands, and the number of acres burned, in hundreds of thousands. Based on this data, decide if the correlation is significant at alpha = 0.05. Number of fires x 73 74 58 48 80 65 54 49 Number of acres burned y 64 46 22 23 51 12 29 10 5. When x = 61 what is y and what does it mean I this context. 6....
An environmentalist wants to determine the relationship between the number of fires in thousands, and the...
An environmentalist wants to determine the relationship between the number of fires in thousands, and the number of acres burned in hundreds of thousands. Based on the data, decide in the correlation is significant at alpha = 0.05. Number of fires (x) - 73 | 74 | 58 | 48 | 80 | 65 | 54 | 49 Number of acres burned (y) - 64 | 46 | 22 | 23 | 51 | 12 | 29 | 10 Determine...
An environmentalist wants to determine the relationship between the number of fires in thousands, and the...
An environmentalist wants to determine the relationship between the number of fires in thousands, and the number of acres burned in hundreds of thousands. Based on the data, decide in the correlation is significant at alpha = 0.05. Number of fires (x) - 73 | 74 | 58 | 48 | 80 | 65 | 54 | 49 Number of acres burned (y) - 64 | 46 | 22 | 23 | 51 | 12 | 29 | 10 Find...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT