Lesson 5 Lies and Statistics Practice Understanding

Ready

For each representation of a function, decide if the function is linear, exponential, or neither. Justify your answer.

1.

$x$	$f (x)$
$1$	$117,649$
$2$	$16,807$
$3$	$2,401$
$4$	$343$
$5$	$49$

linear

exponential

neither

2.

The fee for a taxi ride is $$ 7$ for getting into the taxi plus $$ 2$ per mile.

linear

exponential

neither

3.

linear

exponential

neither

Decide whether each statement is sometimes, always, or never true. Provide an explanation for your choice.

9.

The linear regression line passes through the average of the $x$ -values and the average of the $y$ -values.

sometimes true

always true

never true

10.

A positive correlation coefficient means that the points in the scatterplot are very close together.

sometimes true

always true

never true

11.

A negative residual means that the regression line has a negative slope.

sometimes true

always true

never true

12.

A correlation coefficient close to $1$ means that a linear model is most appropriate for the data.

sometimes true

always true

never true

Go

Solve each equation for $x$ .

13.

$a x = d$

14.

$b + c x = d$

15.

$a b + c x = d$

Solve each equation for $y$ .

16.

$4 x + y = 3$

17.

$2 y = 6 x + 9$

18.

$5 x - 2 y = 10$

Solve each equation for the indicated variable.

19.

$A = π r^{2}$ ; Solve for $r$ .

20.

$V = \frac{l w h}{2}$ ; Solve for $h$ .

21.

$P = \frac{{(12 V)}^{2}}{50}$ ; Solve for $V$ .