Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (Each pair of variables has a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The caloric content and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below. Calories, x 160 170 130 130 340 370 Sodium, y 430 480 Find the regression equation (Round to three decimal places as needed.) 80 250 190 520 (a)x= 180 calories (c) x 150 calories (b) x = 90 calories (d) x-220 calories

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A: Given heat equation, ∂u∂t=4∂2u ∂x2u(0,t)=0u(8,t)=0u(x,0)=4x-12x2=f(x,y)  Here length l=8 and c2=4

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A:

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A: Function f(x,y)  take maximum and minimum value at its critical points

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A: see the image attached below

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A:

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