Unit 3 Project

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Brigham Young University, Idaho *

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110

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Mathematics

Date

Feb 20, 2024

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docx

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4

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Page 1 of 4 Math 110X – Unit 3 Project I certify that I did not communicate about any aspect of this project with any living human being (this includes using the internet) other than my instructor once I began the project . The only resources I used were my Math 110X notes and a blank spreadsheet program such as Excel (you are not allowed to use any saved Excel files). Signature: _____________________________ Print Name Here: ________________________ Instructions: Show all of your work for each problem. For some problems, the work will be done on a spreadsheet. Please clearly indicate where your answer(s) can be found and show (possibly with labels or highlighting) your processes for obtaining the answers on the spreadsheet and upload the spreadsheet to I-Learn. You will have one Excel file with each question on a separate tab of the file. Be sure to label each tab as question 1, question 2, etc. Be sure to answer carefully and clearly.
Page 2 of 4 1. The following data represents the number of operating temples of the Church of Jesus Christ of Latter-day Saints. Year Number of Operating Temples 1830 0 1880 1 1930 7 1980 19 1995 47 2000 102 2017 155 Rexburg, Idaho Temple a. (2 points) What type of function best describes this data set? Explain your reasoning. This would be an exponential function. There can never be less than 0 temples so there is a horizontal asymptote. The data also starts off increasing slowly then increasing fast. b. (8 points) Find the regression model of the data. You must find the regression function yourself using matrices. You can check your answer using the “trendline” feature of the spreadsheet, but you will not get credit for the correct answer unless you show all of the matrices you used to obtain the answer. Regression Equation: y = 9.658e-30*e^(x*0.035525) c. (2 points) If the number of temples operating continues this trend, how many temples will be operating by the year 2045? Show all of your work. 9.658e-30*e^(2045*0.035525) = See highlighted in yellow on excel. d. (2 points) Is your answer to part c reasonable? Explain your reasoning. No, there is more temples in operation currently than what would be predicted in 2045. There is different growth patterns for temples to be built for different prophets and revelation they receive. Such us the extreme increase during the Hinkley temples. There is no equation that
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