Matlab Code
x=-5:0.1:5;
y=-10*x+20;
plot(x,y,'r')
hold on
x=-5:0.1:5;
y=24-6*2.^x;
plot(x,y,'b')
plot(0,22,'g*',1,6,'m*',2,2,'k*')
Output
6. Start with the three points (a) Find the least squares line through the points. (b) Find the best curve of the form. I, C + D2r through the points. (c) Sketch the points, the least squares lin...
2. This problem finds the curve C ++D = b which gives the best least squares fit to the points: t= -2, b=0 t = -1, b=0 t= 0, b=1 t= 1, b=1 t= 2, b=1 (a) (10 points) Write down the 5 equations Ax = b that would be satisfied if the curve went through all 5 points. (b) (10 points) Find the least squares solution = (Ĉ, Ð). (c) (10 points) Find the projection p of b onto...
Projections and Least Squares 3. Consider the points P (0,0), (1,8),(2,8),(3,20)) in R2, For each of the given function types f(x) below, . Find values for A, B, C that give the least squares fit to the set of points P . Graph your solution along with P (feel free to graph all functions on the same graph). . Compute sum of squares error ((O) -0)2((1) 8)2 (f(2) -8)2+ (f(3) - 20)2 for the least squares fit you found (a)...
(a) Sketch the line that appears to be the best fit for the given points. (b) Find the least squares regression line. y(x)= (c) Calculate the sum of squared error. 11. [-13.22 Points] DETAILS LARLINALG8 2.6.017. Consider the following. 5 (1,5) 4 (2, 4) 3 2 (2, 2) (3, 1) - Х - 1 2 3 4 -14 (a) Sketch the line that appears to be the best fit for the given points.
(1 point) Find the least-squares regression line ý = b + b 2 through the points (-2,0), (1,7), (6, 15), (7, 20), (9, 24). For what value of I is ŷ = 0?
Find the equation y = Bo + B,x of the least-squares line that best fits the given data points. (1,1), (2,1), (3,2), (4,2) The line is y=+x. (Type integers or decimals.) Find the equation y = B.+Byx of the least-squares line that best fits the given data points. (5,6), (6,4), (8,2), (9,0) The line is y=+x. (Type integers or decimals.) Find the equation y = Be + Box of the least-squares line that best fits the given data points. (-1,0),...
only (c) please Find the least squares fit to the data x0 12 (a) By a linear function. Plot your linear function along with the data on a coordinate system. (b) By a quadratic polynomial. Sketch the graph. c) By a function of the form ya2 b2*. 2-1 Find the least squares fit to the data x0 12 (a) By a linear function. Plot your linear function along with the data on a coordinate system. (b) By a quadratic polynomial....
(2 points) Find the least squares regression line ý = b + b through the points (-2,0), (2,9), (5,15), (7,20),(10,26). For what value of cis y = 0? =
This problem uses least squares to find the curve \(y=a x+b x^{2}\) that best fits these 4 points in the plane:$$ \left(x_{1}, y_{1}\right)=(-2,2), \quad\left(x_{2}, y_{2}\right)=(-1,1), \quad\left(x_{1}, y_{3}\right)=(1,0), \quad\left(x_{4}, y_{4}\right)=(2,2) . $$a. Write down 4 equations \(a x_{i}+b x_{i}^{2}=y_{i}, i=1,2,3,4\), that would be true if the line actually went through a11 four points.b. Now write those four equations in the form \(\mathbf{A}\left[\begin{array}{l}a \\ b\end{array}\right]=\mathbf{y}\)c. Now find \(\left[\begin{array}{l}\hat{a} \\ \hat{b}\end{array}\right]\) that minimizes \(\left\|A\left[\begin{array}{l}a \\ b\end{array}\right]-\mathbf{y}\right\|^{2}\).
down options for Part (h) are: (d) or (b)Complete parts (a) through (h) for the data below. x2030405060y7975706250 (b) Find the equation of the line containing the points (30,75) and (60,50). (c) Graph the line found in part (b) the scatter diagram. Choose the correct graph below. (d) By hand, determine the least-squares regression line. (e) Graph the least-squares regression line on the scatter diagram. (f) Compute the sum of the squared residuals for the line found in part (b) (g) Compute the sum of the squared...
(2 points) Find the least-squares regression line y = bo +b x through the points (-2,0), (2,9), (6, 13), (8, 20), (10,27). For what value of x is 9 = 0?