$\"\"$

\

The chirping rate of crickets for various temperatures are observed in

\

a table of values.

\

Consider temperature as $\"\"$ and chirping rate of crickets as $\"\"$ .

\

(a)

\

Graph:

\

(1) Draw the coordinate plane.

\

(2) Temperature $\"\"$ readings are taken in the $\"\"$ axis.

\

(3) Chirping rates $\"\"$ readings are taken in the $\"\"$ axis.

\

(4) Plot the data of values in the graph.

\

$\"\"$

\

$\"\"$

\

(b)

\

Regression line:

\

The process of data points and coming up with an equation is called regression,

\

and the graph of the regression equation is called regression line.

\

To find the regression equation use the first and last dots in the scatter plots.

\

First dot is $\"\"$ and last dot is $\"\"$ .

\

The equation of the line passing through two points $\"\"$ and $\"\"$

\

is $\"\"$ .

\

Substitute $\"\"$ and $\"\"$ in the line equation.

\

$\"\"$

\

The regression equation is $\"\"$ .

\

Graph:

\

Graph the regression equation $\"\"$ .

\

$\"\"$

\

$\"\"$

\

(c)

\

Find the chirping rate at $\"\"$ F.

\

The temperature $\"\"$ F.

\

The regression equation is $\"\"$ .

\

Substitute $\"\"$ F in the regression equation.

\

$\"\"$

\

The chirping rate at $\"\"$ F is $\"\"$ chirps per minute.

\

$\"\"$

\

(a)

\

Graph the plotted data.

\

$\"\"$

\

(b)

\

The regression equation is $\"\"$ and its graph.

\

$\"\"$

\

(c)

\

The chirping rate at $\"\"$ F is $\"\"$ chirps per minute.