she calculates two regression models. which is true?\nthe linear model better represents the situation…

she calculates two regression models. which is true?\nthe linear model better represents the situation because the amount she owes is decreasing by about the same amount every 6 months.\nthe linear model better represents the situation because according to the exponential model, the repayment amount will never be 0.\nthe exponential model better represents the situation because the amount she owes decreases by about the same amount every 6 months.\nthe exponential model better represents the situation because according to the linear model, the repayment amount will eventually be negative.

she calculates two regression models. which is true?\nthe linear model better represents the situation because the amount she owes is decreasing by about the same amount every 6 months.\nthe linear model better represents the situation because according to the exponential model, the repayment amount will never be 0.\nthe exponential model better represents the situation because the amount she owes decreases by about the same amount every 6 months.\nthe exponential model better represents the situation because according to the linear model, the repayment amount will eventually be negative.

Answer

Explanation:

Step1: Analizar la caída de los valores

Observamos que el monto a pagar no disminuye en cantidades constantes cada 6 meses. Por ejemplo, entre 6 y 12 meses disminuye $2700 - 2110= 590$, mientras que entre 18 y 24 meses disminuye $1500 - 870 = 630$. Esto descarta que sea un modelo lineal donde la variación debe ser constante.

Step2: Considerar las propiedades de los modelos

En un modelo lineal, si la tendencia continua, el monto a pagar podría eventualmente ser negativo, lo cual no tiene sentido en el contexto de un préstamo. En un modelo exponencial, el monto se aproxima a 0 pero nunca llega a ser negativo. Además, la forma de la curva en el gráfico sugiere un decaimiento exponencial.

Answer:

The exponential model better represents the situation because according to the linear model, the repayment amount will eventually be negative.