X | Y | X⋅Y | X⋅X |
0 | 0 | 0 | 0 |
1 | 1 | 1 | 1 |
3 | 2 | 6 | 9 |
4 | 5 | 20 | 16 |
Find the sum of every column:
3. Find the line y = a + ber that best fits the measurements y=0,1,2,5 at...
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),...
Find the line y = a + bx which best fits the data points (x, y): (0, 1), (1, 1), (1, 2) in the least squares sense. must use matrix
Find the equation y = B. +B,x of the least-squares line that best fits the given data points. (0,1),(1,1)(2,2), (3,2) The line is y=0+(x (Type integers or decimals.)
The regression line that best fits the following data is Y = 0.43X + 3.03. Use the regression line to predict the value of Y when X = 6. X Y 2 4 5 5 7 6 9 7 a. 6.23 b. 4.32 c. 5.61 d. 3.45
can you do it step by step to understand Find the least-squares line y P0 + Pzx that best fits the given data 1 Given: The data points (-3, 2), (-2, 5), (0, 5), (2, 2), (3,7) Suppose the errors in measuring the y-values of the last two data points are greater than for the other points. Weight these data points half as much as the rest of the data 1-3 1-2 | [β1 β2 A) y 0.9 1.54x B)...
Find the volume of the solid of revolution using the method that best fits. Y = X?, X = y2 about y=1
3. Find the best straight-line fit (least squares) to the measurements t -2, b 4 at at t =-1 b 1 at t0 b 0 at t = 2. Then find the projection p of 3 b 0 onto the column space of A = 1 10 1 2
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 \(\left\|A\left[\begin{array}{l}a \\ b\end{array}\right]-\mathbf{y}\right\|^{2}\).