We can see a right triangle here.
Diagonal is a hypotenuse of the right triangle. Two legs are equal 102 yards each.
We can use Pythagorean theorem
hypotenuse² = leg² + leg² = 2leg²
hypotenuse² = 2leg²
√hypotenuse² = √(2leg²)
hypotenuse = leg*√2
hypotenuse = 102*√2≈144.25 yards
the diagonal ≈144.25 yards
Answer:
a. the line that makes the sum of the squares of the vertical distances of the data points from the line (the sum of squared residuals) as small as possible.
Step-by-step explanation:
If we have N points
and we want to adjust a model 
We can define the error associated to this like that:
![E(a,b) = \sum_{n=1}^N [y_n -(ax_n +b)]^2](https://tex.z-dn.net/?f=%20E%28a%2Cb%29%20%3D%20%5Csum_%7Bn%3D1%7D%5EN%20%5By_n%20-%28ax_n%20%2Bb%29%5D%5E2)
So as we can see here we are adding the square distances between the real and the adjusted values in order to minimize the error for this reason the correct answer is:
a. the line that makes the sum of the squares of the vertical distances of the data points from the line (the sum of squared residuals) as small as possible.
For this case we need to calculate the slope with the following formula:
Where:
And we can find the intercept using this:
Answer:
3x - y = -1
Step-by-step explanation:
Standard form of equation is Ax + By = C
y - y1 = m (x -x1)
y - 7 = 3 (x - 2)
y - 7 = 3x - 6
3x - y = -7 +6
3x - y = -1