Question

this question has two parts. first, answer part a. then, answer part b.
part a
business the table shows a company’s revenue, in millions of dollars, each year since the company started in 2000. use a graphing calculator to find an equation for the best - fit line for the data.

years since 2000	1	2	3	4	5	6

interpret the slope and y - intercept of the regression equation in the context of the data.
the slope means that the company’s revenue increased by about 0.52 million dollars each year.
the y - intercept means that the company’s revenue in 0 was 0.71 million dollars.
part b
estimate the company’s revenue in 2020. round to the nearest hundredth. $\square$ million.

Explanation:

Step1: Define variables

Let $x$ = years since 2000, $y$ = revenue (millions).

Step2: Use regression equation

From Part A, regression line: $y = 0.52x + 0.71$

Step3: Calculate x for 2020

$x = 2020 - 2000 = 20$

Step4: Substitute x into equation

$y = 0.52(20) + 0.71 = 10.4 + 0.71$

Answer:

11.11