Final answer:
The student's question pertains to solving quadratic equations using methods such as the quadratic formula and completing the square, and analyzing linear equations for data prediction.
Step-by-step explanation:
The student is asking for help with solving algebraic expressions and equations. These equations are typically quadratic in nature and require specific methods to solve, such as factoring, completing the square, or using the quadratic formula. The question also includes finding the line of best fit for data, which is a common topic in algebra and statistics.
For example, to solve an equation of the form ax² + bx + c = 0, one would use the quadratic formula: x = (-b ± √(b²-4ac)) / (2a). This formula provides the solutions for x in any quadratic equation. Completing the square is another method used to rewrite an equation in perfect square form, which can then be solved more easily.
Linear equations, such as ŷ = -173.51 + 4.83x, represent lines on a graph and are used to make predictions based on data. The values of r² and r (the coefficient of determination and correlation coefficient, respectively) indicate the strength and direction of the relationship between variables.