Question

latitude and longitude describe locations on the earth with respect to the equator and prime meridian. the table shows the latitude and daily high temperatures on the first day of spring for different locations with the same longitude.
temperature vs. latitude

latitude (°n)	42	45	39	35	32	41	40	33	30
high temp. (°f)	53	41	67	63	70	58	61	67	72

which statement describes the slope of the line of best fit for the data?
the temperature decreases by about 0.9° for each 1 degree increase north in latitude.
the temperature decreases by about 1.7° for each 1 degree increase north in latitude.
the temperature increases by about 0.8° for each 1 degree increase north in latitude.
the temperature increases by about 1.3° for each 1 degree increase north in latitude.

Explanation:

Step1: Identificar tendencia general

Observando los datos, vemos que a medida que la latitud aumenta (nos movemos hacia el norte), la temperatura máxima diaria disminuye.

Step2: Calcular pendiente aproximada

Podemos tomar dos puntos extremos, por ejemplo, (30, 72) y (45, 41). La fórmula de la pendiente $m=\frac{y_2 - y_1}{x_2 - x_1}$. Aquí, $x_1 = 30$, $y_1=72$, $x_2 = 45$ y $y_2 = 41$. Entonces $m=\frac{41 - 72}{45 - 30}=\frac{- 31}{15}\approx - 2.07$. Un cálculo más preciso con un software de regresión lineal o una calculadora con funciones de regresión da una pendiente cercana a - 1.7, lo que significa que la temperatura disminuye aproximadamente 1.7°F por cada grado de latitud hacia el norte.

Answer:

The temperature decreases by about 1.7° for each 1 degree increase north in latitude.