Professor Grant Alexander wanted to find a linear model that relates the number of hours a student plays video games each week, h, to the cumulative grade-point average, G, of the student. He obtained a random sample of 10 full-time students at his college and asked each student to disclose the number of hours spent playing video games and the student’s cumulative grade-point average. "

$$\begin{matrix} \text{Hours of} & \text{Grade-point}\\ \text{Video Games} & \text{Average, $G$}\\ \text{per Week, $h$} & \text{ }\\ \hline \text{0} & \text{3.49}\\ \text{0} & \text{3.05}\\ \text{2} & \text{3.24}\\ \text{3} & \text{2.82}\\ \text{3} & \text{3.19}\\ \text{5} & \text{2.78}\\ \text{8} & \text{2.31}\\ \text{8} & \text{2.54}\\ \text{10} & \text{2.03}\\ \text{12} & \text{2.51}\\ \end{matrix}$$

Predict the grade-point average of a student who plays video games for 8 hours each week.

The graph of the equation $x ^ { 2 / 3 } + y ^ { 2 / 3 } = 1$, is called a four-cusped hypocreloid. (a) Use the Theorem of the Symmetry Test to confirm that this graph is symmetric about the $x$ -axis, the $y$ -axis, and the origin. (b) Find a function $f$ whose graph in the first quadrant coincides with the four-cusped hypocycloid, and use a graphing utility to confirm your work. (c) Repeat part (b) for the remaining three quadrants.

Evaluate $-16^{-3/4}$

Characterize the following compounds as soluble or insoluble in water:

$$\\$$

(a)

$$\mathrm{Ca_3(PO_4)_2}$$

(b)

$$\mathrm{Mn(OH)_2}$$

(c)

$$\mathrm{AgClO_3}$$

(d)

$$\mathrm{K_2S}$$

Use a graphing calculator to find $f^{\prime}(2), f^{\prime}(16)$ ,and $f^{\prime}(-3)$ for the following when the derivative exists.

$$f(x)=6 x^{2}-4 x$$

Solve and check each equation. 9(5x-2)=45

Identify four viral diseases of humans.

Graph $f(x)=3 \sin (2 x)+2$ and $g(x)=\frac{7}{2}$ on the same Cartesian plane for the interval $[0, \pi].$

What is the Alabama paradox?

To win a trivia game, you need at least 60 points. Each question is worth 4 points. Write and solve an inequality that represents the number of questions you need to answer correctly to win the game.

A pediatrician wants to determine the relation that exists between a child's height, x, and head circumference, y. She randomly selects 11 children from her practice, measures their heights and head circumferences, and obtains the following data.

Draw the least-squares regression line on the scatter diagram of the data and label the residual from part (d).

The production of offspring, or _____, must occur to enable the group of breeding organisms, or _____, to continue to exist.

A pediatrician wants to determine the relation that exists between a child's height, x, and head circumference, y. She randomly selects 11 children from her practice, measures their heights and head circumferences, and obtains the following data.

Use the regression equation to predict the head circumference of a child who is 25 inches tall.

A pediatrician wants to determine the relation that exists between a child's height, x, and head circumference, y. She randomly selects 11 children from her practice, measures their heights and head circumferences, and obtains the following data.

Notice that two children are 26.75 inches tall. One has a head circumference of 17.3 inches; the other has a head circumference of 17.5 inches. How can this be?