Question

use technology to perform a linear regression to determine the equation for the line of best fit for the data. estimate the value of y when x = 19.

x	y
14	39
16	41
18	44
20	48

find the line of best fit for the data.
y = 1.55x + 16.60
(type your answer in slope-intercept form. use integers or decimals for any numbers in the equation. round to two decimal places as needed.)
estimate the value of y when x = 19.
y =
(type an integer or decimal rounded to two decimal places as needed.)

Explanation:

Step1: Identify the regression equation

The line of best fit is given as \( y = 1.55x + 16.60 \).

Step2: Substitute \( x = 19 \) into the equation

Substitute \( x = 19 \) into \( y = 1.55x + 16.60 \):
\( y = 1.55(19) + 16.60 \)
Calculate \( 1.55 \times 19 \): \( 1.55 \times 19 = 29.45 \)
Then add 16.60: \( 29.45 + 16.60 = 46.05 \)

Answer:

\( 46.05 \)