latitude and longitude describe locations on the earth with respect to the equator and prime - meridian. the…

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.\ntemperature vs. latitude\n|latitude (n)|42|45|39|35|32|41|40|33|30|\n|high temp. (f)|53|41|67|63|70|58|61|67|72|\nwhich statement describes the slope of the line of best fit for the data?\nthe temperature decreases by about 2°f for each 1 degree increase north in latitude\nthe temperature decreases by about 1.7°f for each 1 degree increase north in latitude\nthe temperature increases by about 0.8°f for each 1 degree increase north in latitude\nthe temperature increases by about 1.3°f for each 1 degree increase north in latitude
Answer
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.