Evaluations — Input View

Evaluations for input

2 rows

Input	Output
Suppose we have a training set with m=3 examples,plotted below.Our hypothes is representation is $h_{\theta}(x) = \theta_1x$ , with parameter $\theta_1$ . The cost function $J(\theta_1)$ is $J(\theta_1)$ = ${1\over2m}\sum\nolimits_{i=1}^m(h_\theta(x^i) - y^i)^2$ . What is $J(0)$ ?<image 1> (A) 0 (B) 1/6 (C) 1 (D) 14/6 Answer with the option's letter from the given choices directly. No punctuation.	Nous: Hermes 2 Vision 7B (alpha) mmmu / Computer_SciencePublic 210 775 411 888 1234 422 2472 3813 6589 110.9833765 0 0:00:00 Expected Answer: D Difficulty: Medium Subfield: Artificial Intelligence
Suppose we have a training set with m=3 examples,plotted below.Our hypothes is representation is $h_{\theta}(x) = \theta_1x$ , with parameter $\theta_1$ . The cost function $J(\theta_1)$ is $J(\theta_1)$ = ${1\over2m}\sum\nolimits_{i=1}^m(h_\theta(x^i) - y^i)^2$ . What is $J(0)$ ?<image 1> (A) 0 (B) 1/6 (C) 1 (D) 14/6 Answer with the option's letter from the given choices directly. No punctuation.	Google: Gemini Pro Vision 1.0 mmmu / Computer_SciencePublic (A) Expected Answer: D Difficulty: Medium Subfield: Artificial Intelligence

Input

Output

Suppose we have a training set with m=3 examples,plotted below.Our hypothes is representation is $h_{\theta}(x) = \theta_1x$ , with parameter $\theta_1$ . The cost function $J(\theta_1)$ is $J(\theta_1)$ = ${1\over2m}\sum\nolimits_{i=1}^m(h_\theta(x^i) - y^i)^2$ . What is $J(0)$ ?<image 1>