Question

HW11.7. Find the Least Squares Fit Line Your goal here is to find the least squares line $y(x) = \tilde{m}x + \tilde{b}$ for the following data: $(0, -1), (1, 0), (2, 2), (0, 0), (0, 0), \text{and } (1, 0)$ Feel free to use a calculator! The normal equation for determining the approximating parameters $\tilde{b}$ and $\tilde{m}$ are: Then the least squares line is: y(x) = num x + num

          HW11.7. Find the Least Squares Fit Line
Your goal here is to find the least squares line $y(x) = \tilde{m}x + \tilde{b}$ for the following data:
$(0, -1), (1, 0), (2, 2), (0, 0), (0, 0), \text{and } (1, 0)$
Feel free to use a calculator!
The normal equation for determining the approximating parameters $\tilde{b}$ and $\tilde{m}$ are:
Then the least squares line is:
y(x) = num x + num

HW11.7. Find the Least Squares Fit Line
Your goal here is to find the least squares line y(x) = m̃x + b̃ for the following data:
(0, -1), (1, 0), (2, 2), (0, 0), (0, 0), and (1, 0)
Feel free to use a calculator!
The normal equation for determining the approximating parameters b̃ and m̃ are:
Then the least squares line is:
y(x) = num x + num

Added by Gregory B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Vincenzo Zaccaro

Step 1

The x-values are -1, 1, 2, 0, 0, and 1. The mean of the x-values is ( -1 + 1 + 2 + 0 + 0 + 1 ) / 6 = 0.5. The y-values are 6, 8, 10, 6, 6, and 8. The mean of the y-values is ( 6 + 8 + 10 + 6 + 6 + 8 ) / 6 = 7. Show more…

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HW11.7. Find the Least Squares Fit Line Your goal here is to find the least squares line y(x) = mx + 6 for the following data: -1, 1, 2, 0, 0, and 1 Feel free to use a calculator! The normal equation for determining the approximating parameters m and c are: Then the least squares line is: y(x) = numx + num Save & Grade: 10 attempts left Save only Additional attempts available with new variants