Curve-fitting Project - Linear Model InstructionsFor this assignment, collect data exhibiting a relatively linear trend, find the line of best fit, plot the data and the line, interpret the slope, and use the linear equation to make a prediction. Also, find r2 (coefficient of determination) and r (correlation coefficient). Discuss your findings. Your topic may be that is related to sports, your work, a hobby, or something you find interesting. If you choose, you may use the suggestions described below. A Linear Model Example and Technology Tips are provided in separate documents.Tasks for Linear Regression Model (LR)(LR-1) Describe your topic, provide your data, and cite your source. Collect at least 8 data points. Label appropriately. (Highly recommended: Post this information in the Linear Model Project discussion as well as in your completed project. Include a brief informative description in the title of your posting. Each student must use different data.) The idea with the discussion posting is two-fold: (1) To share your interesting project idea with your classmates, and (2) To give me a chance to give you a brief thumbs-up or thumbs-down about your proposed topic and data. Sometimes students get off on the wrong foot or misunderstand the intent of the project, and your posting provides an opportunity for some feedback. Remark: Students may choose similar topics, but must have different data sets. For example, several students may be interested in a particular Olympic sport, and that is fine, but they must collect different data, perhaps from different events or different gender.(LR-2) Plot the points (x, y) to obtain a scatterplot. Use an appropriate scale on the horizontal and vertical axes and be sure to label carefully. Visually judge whether the data points exhibit a relatively linear trend. (If so, proceed. If not, try a different topic or data set.)(LR-3) Find the line of best fit (regression line) and graph it on the scatterplot. State the equation of the line.(LR-4) State the slope of the line of best fit. Carefully interpret the meaning of the slope in a sentence or two.(LR-5) Find and state the value of r2, the coefficient of determination, and r, the correlation coefficient. Discuss your findings in a few sentences. Is r positive or negative? Why? Is a line a good curve to fit to this data? Why or why not? Is the linear relationship very strong, moderately strong, weak, or nonexistent?(LR-6) Choose a value of interest and use the line of best fit to make an estimate or prediction. Show calculation work.(LR-7) Write a brief narrative of a paragraph or two. Summarize your findings and be sure to mention any aspect of the linear model project (topic, data, scatterplot, line, r, or estimate, etc.) that you found particularly important or interesting. You may submit all of your project in one document or a combination of documents, which may consist of word processing documents or spreadsheets or scanned handwritten work, provided it is clearly labeled where each task can be found. Be sure to include your name. Projects are graded on the basis of completeness, correctness, ease in locating all of the checklist items, and strength of the narrative portions.Topic: Choose a particular type of food. (Examples: Fish sandwich at fast-food chains, cheese pizza, breakfast cereal) For at least 8 brands, look up the fat content and the associated calorie total per serving. Make a quick plot for yourself to "eyeball" whether the data exhibit a relatively linear trend. (If so, proceed. If not, try a different type of food.) After you find the line of best fit, use your line to make a prediction corresponding to a fat amount not occurring in your data set.) Alternative: Look up carbohydrate content and associated calorie total per serving.I have also attached an sample.

For this assignment, choose two specific Western cultures between 632-1000 C.E. Using these, build a comparison that identifies at least three differences and three similarities from political leadership, and economic and social and/or cultural elements. Highlight any shared influences, biases, and perspectives. Before your conclusion, you will write a paragraph in which you reflect on the guidelines for ethical and rigorous study of cultures detailed at the beginning of the unit lesson (mentioned in Step 1 below). As you finish your assignment, include conclusions drawn from both your comparisons and your reflection. The assignment steps below will provide more guidance. Step 1: Be Careful When Making Historical Assumptions. You must cite accurately. Step 2: Resources should be credible and peer-reviewed by historians and cannot include Wikipedia, Biography.com, History.com, or any other .com site; resources should also not be taken from any type of message board or other encyclopedia-type sites. Step 3: Complete your research using the guidelines on ethical and rigorous research you reviewed in Step 1: Choose two specific times and locations to research. Specific times and locations are necessary to avoid generalization. Avoid all generalization beyond the data you have researched on those times and locations, including projections of your own views. Avoid anachronism, which is the use of data or circumstances from today as if they are evidence of what the past means. Form your conclusions using only data from the past. Compare like terms, meaning the same kinds of things, in a point-by-point comparison (rather than writing about one culture and then the other). Consider artifacts and other cultural products. Use strong sources as indicated above. Include at least one comparison drawn from each of the following: 1) politics; 2) social organization or cultural products; and 3) the economy. Step 4: Prepare a reflection on your use of the guidelines for ethical and rigorous historical research. What was your experience of attempting to limit generalization, anachronism, and use of weak sources? The assignment is not considered complete without this component. Step 5: Write your essay in this order without headings: introduction, comparisons, reflection, conclusions. Your essay must