Which model is represented by the following graph?

Step 1: Understanding the graph.
The given graph shows a straight line representing a relationship between a dependent and independent variable. This is characteristic of a simple linear regression model, which models a linear relationship between two variables.
Step 2: Analysis of options.
- (A) Logistic regression model: Incorrect, logistic regression deals with binary outcomes and produces a sigmoid curve, not a straight line.
- (B) Simple Linear regression model: Correct, this is the model for a straight-line relationship between variables.
- (C) Multiple linear regression model: Incorrect, multiple linear regression involves more than one independent variable, but the graph here shows a single independent variable.
- (D) k nearest neighbor model: Incorrect, the k-nearest neighbor model would not produce a straight line; it is non-parametric.
Step 3: Conclusion.
The correct answer is (B) Simple Linear regression model.
Find the least upper bound and greatest lower bound of \( S = \{X, Y, Z\} \) if they exist, of the poset whose Hasse diagram is shown below:
Suppose \( D_1 = (S_1, \Sigma, q_1, F_1, \delta_1) \) and \( D_2 = (S_2, \Sigma, q_2, F_2, \delta_2) \) are finite automata accepting languages \( L_1 \) and \( L_2 \), respectively. Then, which of the following languages will also be accepted by the finite automata:
(A) \( L_1 \cup L_2 \)
(B) \( L_1 \cap L_2 \)
(C) \( L_1 - L_2 \)
(D) \( L_2 - L_1 \)
Choose the correct answer from the options given below: