The annual profits for a company are given in the following table, where x represents the number of years since 2012, 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 2021, rounded to the nearest thousand dollars.Years since 2012 (x) Profits (y)(in thousands of dollars)00 12212211 13713722 13313333 15815844 16716755 175175
Question
The annual profits for a company are given in the following table, where x represents the number of years since 2012, 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 2021, rounded to the nearest thousand dollars.Years since 2012 (x) Profits (y)(in thousands of dollars)00 12212211 13713722 13313333 15815844 16716755 175175
Solution
Para resolver este problema, primero necesitamos encontrar la ecuación de regresión lineal que mejor se ajuste a los datos proporcionados. La ecuación de regresión lineal tiene la forma , donde es la pendiente y es la intersección con el eje y.
Paso 1: Calcular
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