Question 24 1 pts Marching cubes is a method for computing the contour of a bivariate function. O True O False Question 25 1 pts Marching squares is a method for computing the contour of a bivariate function. O True O False Question 26 1 pts Height maps are an effective tool for visualizing trivariate functions. O True O FalseQuestion 24 1 pts Marching cubes is a method for computing the contour of a bivariate function. O True O False Question 25 1 pts Marching squares is a method for computing the contour of a bivariate function. O True O False Question 26 1 pts Height maps are an effective tool for visualizing trivariate functions. O True O FalseWhich of the following is an advantage to using non-parametric tests over parametric tests? There are no advantages to using non-parametric tests. Parametric tests are always better for every study. Non-parametric tests compare the means of the groups tested, whereas parametric tests do not. Non-parametric tests have higher statistical power than parametric tests. Non-parametric test do not require the assumptions of normality and equal variance to be met whereas parametric test do.Which of the following is an advantage to using non-parametric tests over parametric tests? There are no advantages to using non-parametric tests. Parametric tests are always better for every study. Non-parametric tests compare the means of the groups tested, whereas parametric tests do not. Non-parametric tests have higher statistical power than parametric tests. Non-parametric test do not require the assumptions of normality and equal variance to be met whereas parametric test do.QUESTION & Consider the following bivariate function: f (x,*2 ) = 2x x, +1, x, >0, x, >0 Which of the following equations describes the level curves, or contours, for this function? O xX, = c, c>1 O 1= - , C> O C 1 =- O 1 = -, c>1QUESTION & Consider the following bivariate function: f (x,*2 ) = 2x x, +1, x, >0, x, >0 Which of the following equations describes the level curves, or contours, for this function? O xX, = c, c>1 O 1= - , C> O C 1 =- O 1 = -, c>1Q6. What are non-parametric tests? Use sign rank test to solve the given samples. Set 1 Set 2 443 57 421 352 436 587 376 415 458 458 408 424 422 463 431 583 459 432 369 379 11 360 370 12 431 584 13 403 422 14 436 587 15 376 415 16 370 419 17 443 57 (10)Q6. What are non-parametric tests? Use sign rank test to solve the given samples. Set 1 Set 2 443 57 421 352 436 587 376 415 458 458 408 424 422 463 431 583 459 432 369 379 11 360 370 12 431 584 13 403 422 14 436 587 15 376 415 16 370 419 17 443 57 (10)2. Contour of bivariate Gaussian. Sketch the contour defined by f(x, y) = 0.06, where f(x, y) is the bivariate normal density with (a) Ax = 1, My = 2,02 = 03 = 1 and pry = 0. (b) Hz = 0, My = 0, 03 = of = 1 and Pry = 0.2. (c) #x = 0, My = 0,02 = 07 = 1 and Pxy = 0.8. (d) Ax = 0, My = 0,02 = 4, 0% = 1 and pry = 0.8. Here, o2 := VarX, o2 := VarY, and the correlation coefficient is defined as Pry := E(X -HI) ( Y-Hy) What is the distribution of X - Y, when (X, Y) has each of the bivariate distributions given above?2. Contour of bivariate Gaussian. Sketch the contour defined by f(x, y) = 0.06, where f(x, y) is the bivariate normal density with (a) Ax = 1, My = 2,02 = 03 = 1 and pry = 0. (b) Hz = 0, My = 0, 03 = of = 1 and Pry = 0.2. (c) #x = 0, My = 0,02 = 07 = 1 and Pxy = 0.8. (d) Ax = 0, My = 0,02 = 4, 0% = 1 and pry = 0.8. Here, o2 := VarX, o2 := VarY, and the correlation coefficient is defined as Pry := E(X -HI) ( Y-Hy) What is the distribution of X - Y, when (X, Y) has each of the bivariate distributions given above