(a) Find the regression equation, letting the first variable be the independent (x) variable. Find the indicated predicted values . (b) Find the best predicted value for the number of acres burned given that there were 80 fires. Fires 73 69 58 48 84 62 57 45 70 63 48 Acres burned 6.2 4.2 1.9 2.7 5.0 1.6 3.0 1.6 1.5 2.0 3.7
Added by Marcus G.
Step 1
First, we need to find the mean of both variables (Fires and Acres burned). Mean of Fires (x̄) = (73 + 69 + 58 + 48 + 84 + 62 + 57 + 45 + 70 + 63 + 48) / 11 = 677 / 11 = 61.55 Mean of Acres burned (ȳ) = (6.2 + 4.2 + 1.9 + 2.7 + 5.0 + 1.6 + 3.0 + 1.6 + 1.5 + 2.0 Show more…
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Forest Fires and Acres Burned Numbers over the Years: Number of fires: 72 Number of acres burned: 1562 Send data to Excel 58 42 47 84 62 19 51 62 The correlation coefficient for the data is y = 0.317 and a = 0.01. The regression analysis should not be done. The regression analysis should be done. Find the equation of the regression line: y = a + bx
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Use the same data as for the corresponding exercises in Section $10-1 .$ For each exercise, find the equation of the regression line and find the $y^{\prime}$ value for the specified $x$ value. Remember that no regression should be done when $r$ is not significant. Forest Fires and Acres Burned Number of fires and number of acres burned are as follows: $$ \begin{array}{l|cccccccc} \text { Fires } x & 72 & 69 & 58 & 47 & 84 & 62 & 57 & 45 \\ \hline \text { Acres } y & 62 & 42 & 19 & 26 & 51 & 15 & 30 & 15 \end{array} $$ Find $y^{\prime}$ when $x=60$ fires.
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Text: Forest Fires and Acres Burned Numbers (in thousands) of forest fires over the year and the number (in hundred thousands) of acres burned for 7 recent years are shown. Number of fires (x): 69 58 47 84 62 57 72 Number of acres burned (y): 64 53 42 79 57 52 67 The correlation coefficient for the data is r=1 and α=0.05. Should regression analysis be done? The regression analysis should not be done. The regression analysis should be done. Find the equation of the regression line. y' = a + bx a = Find y' when x = 50 y' =
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