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 2°f for each 1 degree increase north in latitude
the temperature decreases by about 1.7°f for each 1 degree increase north in latitude
the temperature increases by about 0.8°f for each 1 degree increase north in latitude
the temperature increases by about 1.3°f for each 1 degree increase north in latitude

Explanation:

Step1: List data points

(x: 42,45,39,35,32,41,40,33,30; y:53,41,67,63,70,58,61,67,72)

Step2: Calculate Σx, Σy, Σxy, Σx²

Σx=337, Σy=552, Σxy=20318, Σx²=12829

Step3: Compute slope m

m=(920318 - 337552)/(9*12829 - 337²)= -3162/1892≈-1.7

Answer:

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