Solution

The correct answer is 507

Key Points

A linear neuron is a basic type of artificial neuron or node in a neural network that performs a linear transformation on its inputs. It is a fundamental building block in the field of neural networks. The output of a linear neuron is computed by taking a weighted sum of its input values and applying a constant factor called the bias or constant of proportionality.

To calculate the output of the neuron, you can use the formula for a linear neuron:

\(\text{Output} = \text{Constant of Proportionality} \times \left(\sum_{i=1}^{n} (\text{Weight}_i \times \text{Input}_i)\right) \)

• In this case:
  • Constant of Proportionality = 3
  • Weights = [1, 2, 3, 4]
  • Inputs = [5, 7, 10, 30]
• So, the output would be:
  • \( \text{Output} = 3 \times (1 \times 5 + 2 \times 7 + 3 \times 10 + 4 \times 30)\)
• Now, calculate the values:
  • \(\text{Output} = 3 \times (5 + 14 + 30 + 120)\)
  • \(\text{Output} = 3 \times 169\)
  • \(\text{Output} = 507\)

Therefore, the correct answer is: 4) 507