A researcher fits a quadratic regression model $\hat{y}=2+0.5x-0.1x^2$ to the following data:

What is the sum of squares of residuals for this model?

An analyst fits two models to predict monthly energy usage: a linear model and a quadratic model. The linear model yields $S{S}_{res}=210$, while the quadratic model yields $S{S}_{res}=175$. Which model is preferred according to the sum of squares criterion?

Given the quadratic regression output a = -0.5, b = 4, c = 1, determine the parabola's concavity and compute the vertex coordinates (x_v, y_v).

Which description correctly states the role of the coefficient a in y = ax^2 + bx + c?

Which of the following describes the correct TI-84 steps to run a quadratic regression and automatically store the resulting equation in Y1 for graphing?