Well, your ratio given is 18 to 4. so multiply both numbers (18 and 4) by some number and you will have an equivalent ratio.
example: if you had 2 times as many people, then an equivalent ratio would be 18*2 to 4*2 = 36 to 8
A notation for representing an interval as a pair of numbers. The numbers are the endpoints of the interval. Parentheses and/or brackets are used to show whether the endpoints are excluded or included.
For example, [3, 8) is the interval of real numbers between 3 and 8, including 3 and excluding 8.
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Answer:
m = 4/3
Step-by-step explanation:
To find the slope of a line use the formula, where "m" means slope:
*You don't need to show this part on paper*
Choose which point you want to be point 1 and point 2. Remember the points are written (x, y).
Point 1: (-2, 1) x₁ = -2 y₁ = 1
Point 2: (4, 9) x₂ = 4 y₂ = 9
Substitute the coordinates into the formula:
*Show this part on paper*
Simplify
Reduce by dividing by 2
Slope
The slope of the line is 4/3
The purpose of the tensor-on-tensor regression, which we examine, is to relate tensor responses to tensor covariates with a low Tucker rank parameter tensor/matrix without being aware of its intrinsic rank beforehand.
By examining the impact of rank over-parameterization, we suggest the Riemannian Gradient Descent (RGD) and Riemannian Gauss-Newton (RGN) methods to address the problem of unknown rank. By demonstrating that RGD and RGN, respectively, converge linearly and quadratically to a statistically optimal estimate in both rank correctly-parameterized and over-parameterized scenarios, we offer the first convergence guarantee for the generic tensor-on-tensor regression. According to our theory, Riemannian optimization techniques automatically adjust to over-parameterization without requiring implementation changes.
Learn more about tensor-on-tensor here
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