Anthony and Alex Weatherbase data

West Palm Beach, Florida

Syracuse, New York Barcelona, Spain

I Get a Shiver in My Bones
Open the Weatherbase in a new window.

Make a scatter plot of month vs average temperature for three different locations: Syracuse, somewhere a distant friend or relative lives, and somewhere you have never visited, but would like to.
Make a scatter plot for each location and run a regression to model the data.

(10 points) Record:
Location Regression Equation
1. Syracuse y=24.1sin(.5x-2.1)+47.3
2. West Palm Beach y=8.9sin(.5x-2.0)+74.7
3. Barcelona y=12.8sin(.6x-2.7)+60.5

1. Barcelona; Amplitude=12.8 Wrap Line=60.5 The wrap line shows the average temperature of the whole year and the amplitude shows the fluctuation of temperature from the average.

2. West Palm Beach; Amplitude=8.9 Wrap Line=74.7 The wrap line shows the average temperature of the whole year and the amplitude shows the fluctuation of temperature from the average.

3. Syracuse; Amplitude=24.1 Wrap Line=47.3 The wrap line shows the average temperature of the whole year and the amplitude shows the fluctuation of temperature from the average.

All of these graphs look like sin waves. The graph from West Palm Beach, Florida is a bit higher than the other two because it is closer to the equater so its average temperatures are higher. Syracuse generally has the lowest of the three graphs because of its northern location, although it is similar in distance from the equator to Barcelona, Barcelona is a coastal city so its average temperatures are a bit higher. There is however no intersection of any of the graphs, there is a very clear difference in temperature averages in the three cities. The first number in the equation stands for the amplitude of the graph and the last number in the equation stands for the wrap line of the graph.

My favorite outdoor temprature would have to be 75-85 degrees. Should be mostly mild/hot, but only cold to do winter sports. For my ideal temprature of 75-85 degrees, the months I would visit West Palm Beach, Florida would be May through October. I found this by looking at the graph and looking at the points that were above 75 and below 85 and found them to be May through October. And I wouldn’t be able to visit Barcelona, Spain because when I looked at the graph, it never got to or over 75 degrees.