Question

question
the annual profits for a company are given in the following table, where x represents the number of years since 2010, and y represents the profit in
thousands of dollars. write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. using this
equation, find the projected profit (in thousands of dollars) for 2019, rounded to the nearest thousand dollars.
years since 2010 (x)
profits (y)
0
55
(in thousands of dollars)
1
114
2
162
3
180
4
161
5
239
answer attempt 2 out of 3
regression equation:
30.67x + 70.47
final answer:
347 thousand dollars

Explanation:

Step1: Identificar el valor de \(x\) para 2019

Como \(x\) representa el número de años desde 2010, para 2019, \(x = 2019 - 2010=9\).

Step2: Sustituir \(x = 9\) en la ecuación de regresión lineal \(y = 30.67x+70.47\)

Sustituimos \(x = 9\) en la ecuación:

$$
LATEXBLOCK0
$$

Step3: Redondear el resultado

Redondeamos \(346.5\) a la centena más cercana. Dado que \(346.5\) está más cerca de \(347\) que de \(346\), el valor redondeado es \(347\).

Answer:

347 thousand dollars