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In this project you will make a linear model (function equation) that describes possible trends in July high temperatures for a city in the United
In this project you will make a linear model (function equation) that describes possible trends in July high temperatures for a city in the United States. The project will consist of five parts: collect data, a table, make a graph containing a best fit line, make a function equation of the best fit line, answer questions using your table and function equation, and answer specific questions. Show your work plz I am lost.
Directions:
Linear Model Project: Create a document [preferably a Word document, but a saved PDF document is acceptable your instructor must be able to open and view the document]. At the top of the page, type in a title for the project; example below: Linear Project Math 114 Precalculus Student's Name Month day, year Underneath the title, type in Part I and then upload a picture image of your completed table [use the table within the print outs for parts 1 3, which are also the last three pages of this document]. Part 1: Collect Data and Complete a Table Complete all sections of the table: title of the table [include the city and state you hate been assigned, if your instructor assigned you a specic city and state}; ex: High July Temperatures for Sedalia, MD]; input the years [left hand column] and the high temperature of July for each year obtained from the site below {right hand column of the table}. Go to the website below and re cord [in printed out table} the July high temperature for your town and state for ten years [2010 2019]. Website: htt : www.usclimatedata.com climate united-states us. 1. Select the appropriate state. 2. Select the appropriate city. 1M 3. Choose the History Tab. 4. Choose your rst year [click in the box with the month of December listed]. This will allow you to find different years and months. S. Choose the month of July and record the highest temperature recorded for that month. Note: the highest max temperature for the month is listed below the daily te mperatu res. 6. Repeat steps 4 Br 5 until you have all 10 years of the highest temperature for the month of July recorded for that city. Part 2 Graph Data [Create a Scatterplot} Underneath your table [within your document], type in Part 2. Using the graph paper provided [within the print outs for Parts 1 3}, you will create a hand drawn graph using the data you collected [recorded in your table], take a picture image of you hand drawn graph, and then upload it into your document underneath your Part 2 subheading. Specifications forthe graph are on the next page. Creating the Graph: write in a title for your graph at the top of the page; it should be the same title as your table. Create an x and y axis, you will only need quadrant one (see examples below). The title for the x axis should be the same title within the table for the x column (write in underneath the x axis). The title for the y axis should be the same title as the f(x) column in the table (write in vertically next to the y axis). Now, label your x and y axis with numbers; your x-values will not be the actual years but instead use 0 - 10 (spread them out, use up the graph paper) For the y axis, use the temperatures you collected (also spread out your data). You will only need quadrant one of your x-y coordinate plane. If your smallest temperature is way above zero, you may have to skip over several values and input a line break. See examples below. Line break Last Digits of Phone Numbers and Quie Scores Time Spent and Report Grades 100 100 90 Score Grade 70- hesent //www.ck12 or book/ck-12-middle- school-with-concepts.grade-7/section/4.18/ 50 60 2 3 4 5 6 012345 78 Last Digit Hours Worked After you have plotted your points, draw a best-fit line, which is an educated guess of a line that represents the trend of the data. The data will either show a decreasing, increasing, or no trend (horizontal line); see examples below. Use a straight edge to make a perfectly straight line that approximates the data. The line should move from left to right with about i of the points above and 1 of the points below but not always); sometimes there may be one or two unusually high data values or one or two unusually low data values, which may cause a slightly increasing or decreasing line. See examples below. Notice that all the y intercepts are between the lowest data point and highest data points. After you have completed the graph with the best-fit line drawn in, take a picture image of the graph and upload it into your Linear Model Project document underneath your Part 2 subheading. Examples of Best-Fit Lines httpsWwww.statisticshowto.com/line of-best-6t/Part 3- Points (two points on the best-fit line) and Function (equation of the best-fit line) Record two points (on the page provided within your Part 1 - 3 print outs) that are on your best-fit line (you may have to approximate the y value). Note: these two points may or may not be data points from your table. Then using those two points, determine the slope of your best-fit line, create the equation of the line using the point slope form and or slope intercept form, and then record the equation of the line in function notation (show all your work on the page provided). Take a picture of your work and upload the image into our document. Some instructors may request that you submit Parts 1-3 as a Rough Draft. Parts 4 and 5, will need to be typed responses in your document. Underneath your picture image of your Part 3 uploaded work, type in Part 4 as a subheading. Part 4 - Within your Linear Model Project document, use your model (function equation you created in part III) and table to answer the following questions by typing in your responses in the Word or PDF documents you have started. For Part 4 and 5, you may want to copy and paste the questions below into your document right below part three and then type in your answers underneath each question. For questions concerning evaluating the function for a specific x value, type in the value being plugged into the equation and then the result. Ex: to find f (11) for the function f(x) = 2x -5, one would type f (11) = 2(11) -5 f (11) = 17. Part 4 1. What are your independent and dependent variables and what do each of them represent? 2. Using the function model (equation) you created for your data, evaluate the below values, and explain in sentence form what each x, y relationship represents in terms of this situation. . What is the value of f(3)? What does this relationship represent? What is the value of f(5)? What does this relationship represent? What is the value of f (8)? What does this relationship represent? 3. Compare the values you obtained for f (3), f(5), and f (8) with the values in your table. How do the results differ (compare) to the actual data in your table? Are they equal, close, not close at all? If they are not equal, determine the difference (show your work). For f (3), how do the results you found differ (compare) to the actual data in your table? Do you think this is a reasonable difference (in a sentence explain why you believe it is or is not)?For f (5), how do the results you found differ (compare) to the actual data in your table? Do you think this is a reasonable difference (in a sentence explain why you believe it is or is not)? For f (8), how do the results you found differ (compare) to the actual data in your table? Do you think this is a reasonable difference (in a sentence explain why you believe it is or is not)? 4. After comparing values from your model and your table, explain why or why not your best-fit line is a good representation of the temperature trends? 5. Using your model (equation), predict the maximum temperature of July for the year 2025 (show work). a. What value will you use for x? f ( ) = b. What is the predicted maximum temperature? 6. Using the model (equation) you created for this data, a. what is the value of f (-5)? b. What is the predicted maximum temperature? C. What does this relationship mean in terms of the situation? 7. What is the slope of your function? Is it increasing, decreasing or constant? Describe the meaning of your slope in terms of year and maximum temperatures for July. Part 5 Reflect on your Model and possible other Models Answer the following questions in complete sentences/paragraph form in your report. 1. Would a different type of model be more appropriate (did your scatter plot create a different type of shape other than a line; see examples of different types of models below)? Which model (type of graph) do you think would be the most appropriate to represent your data and explain why in sentence form? Exponential Decay Logarithmic Linear Exponential Growth Quadratic2. Determine something that could be measured over a period of time, creating data that could be represented as a function and helpful for two of the categories below. One should be close to your chosen field of work, or you may add/create your own category. Explain in a paragraph what would be measured and how it would be helpful for that category (field of interest). ..a hospital? ... the World Healthcare Organization? ... a farmer? ... a construction company? ... a county sheriff? ... a small business owner? .. the president of SFCC? ... a politician? .. Other field of interest? a. b. Part I: Table f (x) Year Years beginning with 2010 Highest Max Temperature x = 0 represents the year 2010 in Fahrenheit for the month of July 0 N G 3 4 5 co 9\fPart III: Points and Function Now that you haye created a bestfit line, pick two points on your best-fit line, and reoord them below. {11. FL) = {752. To) = Using the two points above create a function for your best-fit line. First determining the slope, then use the point slope form andfor slope intercept form to create your function notation equation. Show all work below; take a picture image of Part Ill [be sure your work is included], and upload the image into your document underneath your graph. Show your handwritten work below of the steps used to create your function notation of your best fit line. slope point slope form slope intercept form Function notation form Fr\" y yl =mxxl} y=mx+b x} =mx+b N2 11'; mStep by Step Solution
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