14 flx) =2 +1 car can trave gasoline. Ala expenditure c costs $4 per g determine...
7. Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg) At the 5% level of significance, test the claim is that heavier cars use more gasoline. Remember that a claim of correlation would be that X 29 46 29 47 23 40 34 52 Y 30 21 22 14 29 27 22 34 a....
1) 2) 4 3 2+ 1 -5 14 -3 -2 -1 2 3 -1 -2 -3 -4 -5+ The graph above and below) is the DERIVATIVE graph of a function f f is defined on the domain (-5,5) A. On what interval(s) is the function f increasing? use ( , ) and U to combine more than one interval B. On what interval(s) is the function f decreasing? use ( , ) and U to combine more than one interval...
1 Suppose V is the plane in R3 that contains the ponts a, b and g, where a (1,2,3), b-(1,-2,1) and c-(0,1,2) Suppose L is the lne in R3 that contains the pont a and is perpendicular to the plane V (a) Fınd an equation for V (b) Find an equation for L 2 Consıder the R2 - R function f defined by f (,y) (0,0) 2 (a) Write down the largest possıble doman Df of f (b) Prove from...
1. Consider the function. (a) Draw the level curves of this function for levels c = 0, 1, 2. Please clearly label each level curve with the appropriate value of c. (b) Use the previous answer to sketch the graph (c) Find all first and second order derivatives of this function. (Please label all your derivatives clearly.) (d) Find the equation of the tangent plane to 2.. Let (a) Show that does not exist. (b) Show that does exist and...
Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). x 30 43 31 47 23 40 34 52 y 30 21 22 13 29 17 21 14 Complete parts (a) through (e), given Σx = 300, Σy = 167, Σx2 = 11,908, Σy2 = 3761, Σxy = 5885, and r ≈ −0.888. (a) Draw...
question #6 1. Sketch the following surfaces: (a) z-+y2/9 (b) a2 =y2 +22 (c) 2/4+(y-1)2+(z+1)/9 1 (d) r2+y-22+1 0 (e) -y2+-1 0. 2. Find an equation for the surface consisting of all points that are- point (1,-3, 5) and the plane r = 3. 3. Sketch the curve F(t)<t cos(t), t sin (t), t > 4. Find a vector equation that represents the curve of the intersec r2y =9 and the plane y + z = 2. 5. Find a...
1. Suppose the a function g(x) is defined according to the formula f(c) 3(x + 2) +2 for – 3 <x< -2 (x+2)+1 for-2<x< -1 (+2)+1 for - 1<x<1 2 for r=1 for > 1 y 3+ 21 11 1 -2 1 2 (a) Compute f(a) for each of a = -2, -1,0,1,2. (b) Determine lim f(x) and lim f(x) for each of a = -2,-1,0,1,2. (c) Determine lim f(a) for each of a = -2,-1,0,1,2. If the limit fails...
Given are five observations for two variables, r and y. 3 4 5 1 2 7 6 11 14 4 The estimated regression equation is y = 1.2 + 2.4r Compute the mean square error using the following equation (to 3 decimals). a. SSE s2=MSE n- 2 decimals). b. Compute the standard error of the estimate using the following equation (to SSE VMSE Vn-2 SE c. Compute the estimated standard deviation bi using the following equation (to 3 decimals). Sp...
he follo 2. Do heavier cars really use more gasoline? Suppose that a car is chosen at random. Let x be the weight of the car (in pounds), and let y be the miles per gallon (mpg). The following information is based on data taken from Consumer Reports (vol. 62, no. 4). cystolic 3400 5200 21 14 - Weight of Car (in pounds) 2700 4400 3200 4700 2300 4000 y-Miles per Gallon 30 19 24 13 29 17 . Find...
Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). x 29 44 33 47 23 40 34 52 y 32 20 26 13 29 17 21 14 Complete parts (a) through (e), given Σx = 302, Σy = 172, Σx2 = 12,064, Σy2 = 4036, Σxy = 6066, and r ≈ −0.902. (a) Draw...