It seems like I can’t do more advanced data analysis right now. Please try again later. However, I can still help solve the math problem from the image based on the description.

Let's proceed with determining the value of $y$ when $x = 3$ for the equation $y = x^2 + 5$:

Step-by-step:

1. Start with the equation:
   $y = x^2 + 5$

2. Substitute $x = 3$:
   $y = 3^2 + 5$

3. Calculate $3^2$ which is $9$:
   $y = 9 + 5$

4. Add $9 + 5$:
   $y = 14$

Therefore, the value of $y$ when $x = 3$ is $14$.

Would you like more details or have any questions?

Related questions:

1. How does substituting values into an equation work?
2. What is the general method for solving quadratic equations?
3. How do you graph $y = x^2 + 5$?
4. What does $y = x^2 + 5$ represent geometrically?
5. How can you find the vertex of the parabola represented by $y = x^2 + 5$?

Tip:

Always perform operations in the correct order: first exponents, then multiplication/division, and finally addition/subtraction (PEMDAS).