Graphing, plotting, slope, and y intercept
Determining the annual high temperatures for a location, graphing, finding, slope and function notation.
Module 1 Application Exercise
Name Chanchal Agarwal
You are going to do a search to determine the annual high temperatures for any location for the last 10 years. Go to On the right hand side of the page there are links to states. Choose your state and then choose a city in your state. Where did you choose?
Solution is Honolulu, Hawaii.
On the left hand side click the tab that says history. Click the pulldown menu for the year. Make sure there is data for at least ten years. If there isn’t, choose a different city. Once you have done this, choose the first year you will begin taking data (2007 if you choose a month before August, 2006 if you choose a month after August.) What month did you choose?
_____. On the right hand side of the page the highest max temperature is listed. Enter your temperature in the table below. Keeping the same location and month for each year, repeat the process to fill in the table for each subsequent year.
Solution is July
Once you have your data set, look for the maximum temperature for each year for the last ten years and enter those values in the table below.
Solution in below
X is chosen so that the first year of the data set will be
represented by 0. So, if my
first year is 2007, X will be 0;
2008 would give an X value of
1, 2008 would give an X value of 2, etc. X
Temperature in Fahrenheit Y
For actual data sets, it is highly unlikely that the data points will yield a straight line. Therefore we find what is called a best-fit line or line of best fit. For this project, plot your points from the above table Here is a link to a tutorial, showing you how to create a best-fit line in Desmos.
Click on the + in the upper left of the screen, and select table.
Enter your X and Y values in the table.
Next, enter ????1~????????1 + ????
Note the equation ___________________
Write the equation in function notation, using f(x). If you would like, feel free to use your own variables for this function. _______________________
B). Solution is in below
C). we have to write the equation in given format.
The equation is y1~mx1+b
E). we have to write the equation in f(x): f(x)~mx1+b
What was the slope of the equation? In terms of year and maximum temperature, describe what the slope tells you about global warming. Explain whether or not your results indicate global warming.
The slope of the equation is m=0.0772
Yes, the slope indicate the global warming and the same is reflecting in result graph.
Looking at the function that you have created for this data, what is the value for f(5)? What does this value tell you?
Put x=5 in above equation, where m=0.077 and b=89.377
In terms of year and maximum temperature, describe what the slope tells you about global warming. Explain whether or not your results indicate global warming.
The slope indicates linear increase in temperature during 2007-2009, which went down afterwards till 2012. Post 2012, again we see the increase in the temperature 2015. The slope indicates drastically fall in temperature during 2015-2017.
In business, decisions are made based on data (data driven decisions). Therefore, it is highly important to be able to determine the best data for any given situation. If you were going to present to a group of lawmakers about the impact of global warming, you would want to show them convincing data that global warming exists and to what extent. List and describe two other ways that you could modify the data set in order to make your results more convincing.
The highest temperature recorded in year 2015 is 1.044 times of 2012.
This clearly indicate the increase in global warming.