**Stalactite Growth Data Analysis**The length of a stalactite (in mm) has been measured at the beginning of every fourth year since the year 2000. The data through 2016 is shown below, where $ t $ is in years after the beginning of the year 2000.| $ t $ (years) | Length (mm) ||----------------|-------------|| 0 | 105 || 4 | 110 || 8 | 116 || 12 | 120 || 16 | 125 |**Tasks**1) **Pattern Identification** Use the data to construct a scatter plot. Then, choose which of the following best describes the pattern: - **A. Logistic** \[ y = \frac{c}{1 + a e^{-bx}} \] - **B. Exponential** \[ y = a \cdot b^x \] - **C. Linear** \[ y = mx + b \]2) **Model Calculation** Using your calculator and the best-fitting method from above, find a model, $ L(t) $, that estimates the length of the stalactite $ t $ years after 2000. **Round to two decimal places.** $ L(t) = $ [ ]3) **Analysis** Use your rounded answer from part 2 to complete the following. **Round to two decimal places.** According to the model, at the beginning of the year 2007: - The stalactite was approximately [ ] mm long. - It was growing at a rate of approximately [ ] mm per year.

We have to find part 1,2 and 3.

The length of a stalactite (in mm) has been measured at the beginning of every fourth year since the year 2000. The data through 2016 is shown below, where t is in years after the beginning of the year 2000. t Length (mm) 0 105 Logistic y= (y= Use the data to construct a scatter plot, then complete the following. 1) Which of the following best describes the pattern? O A. C 1+ae - bx B. Exponential (y = a.bx) O C. Linear (y = mx + b) 4 110 8 116 2) Using your calculator and the best of the four methods above, find a model, L(t), that estimates the length of the stalactite t years after 2000. ROUND TO TWO DECIMAL PLACES. L(t) = 3) Use your rounded answer from part 2 to complete the following. ROUND TO TWO DECIMAL PLACES. Acording to the model, at the beginning of the year 2007, the stalactite was approximately mm long, and it was growing at a rate of approximately 12 120 mm per year. 16 125

The length of a stalactite (in mm) has been measured at the beginning of every fourth year since the year 2000. The data through 2016 is shown below, where t is in years after the beginning of the year 2000. t Length (mm) 0 105 Logistic y= (y= Use the data to construct a scatter plot, then complete the following. 1) Which of the following best describes the pattern? O A. C 1+ae - bx B. Exponential (y = a.bx) O C. Linear (y = mx + b) 4 110 8 116 2) Using your calculator and the best of the four methods above, find a model, L(t), that estimates the length of the stalactite t years after 2000. ROUND TO TWO DECIMAL PLACES. L(t) = 3) Use your rounded answer from part 2 to complete the following. ROUND TO TWO DECIMAL PLACES. Acording to the model, at the beginning of the year 2007, the stalactite was approximately mm long, and it was growing at a rate of approximately 12 120 mm per year. 16 125

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

ONLY DO PART A Burning fuels in power plants and motor vehicles emit carbon dioxide (CO2), contributing to global warming. The table at the right displays CO2 emissions per person from countries with at least 20 million populations. (a) What is the variable of interest? How do you classify it? (b) Make a histogram of the data using classes of width 2, starting at 0. Show the frequency distribution table and create the Histogram of the data. Be mindful of submitting a correct graph. (c) Describe the shape, center, and spread of the distribution. Which countries are outliers? For a description of the shape, center, and spread, put your response in paragraph form. Select the most appropriate measure of center and measure of spread to describe the distribution. Also, do not forget to interpret the values based on the given context. Lastly, do not forget to include the unit of measurements. For outliers, show your method of how you were able to determine these. What can you say about…
A dosage chart tell you to take 1 3/4 mL of liquid medicine. You use this medicine once per day for three days. Which equation provides a way to find the amount of medicine in mL needed over the three days. Attend to the meanin of multiplication groups of or of
Compute the coefficient of determination. Round the answer to at least three decimal places. The coefficient of determination is…
Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent The distance from point of release to point of recovery in km/100. The following data a representative of one study using drift bottles to study ocean currents. x day 72 79 32 96 203 y km/100 14.8 19.6 5.3 11.8 35.1 Σx=482 Σy=86.6 Σx2=62874 Σy2=2002.54 Σxy=11041.7 r=.93787 use a 1% level of significance to test the claim p>0.(use 2 decimal places) t=critical t= Se=4.4913 a=1.4966 b=.1641 D) find the predicted distance (km/100) when a drift bottle has been floating for 80 days.(use 2 decimal places) find a 90% confidence interval for your prediction of part D. (use 2 decimal places) lower limit=___km/100upper limit=___km/100 he was a 1% level of…
File Edit View History Home - myRCC Frequency mylearning.suny.edu/d21/le/content/920969/viewContent/25846458/View -10 8 n= Data was collected for a sample of organic snacks. The amount of sugar (in mg) in each snack is summarized in the histogram below. 6 X 2 Bookmarks Profiles Tab Window Help A.1 HW-23FA STATISTICS (81 X 160 164 168 172 176 180 184 188 amount of sugar (mg) Q What is the sample size for this data set? Submit Question Question Help: Video b Enter your payment details | ba x + BUN SEP 15 MacBook Air
The numbers of polio cases in the world are shown in the table for various years. Year Number of Polio Cases (thousands) 1988 1992 1996 2000 2005 2007 350 138 33 3 3.2 1.3 Let f(t) be the number of polio cases (in thousands) t years after 1980. Copy the data to Desmos to draw a scatterplot of the data. Make sure to adjust the years so they represent years after 1980. a) Is it better to model the data with a linear or with an exponential model? [Select an answer b) Use regression in Desmos to find an appropriate model for f. Make sure to check Log mode in the parameter window in Desmos if you are fitting an exponential model. f(t) Round the coefficients to 4 decimal places. Hint: Use the variablet from the drop down menu when entering the equation. Do not just type in t. c) Predict the number of polio cases in 2013. d) Find the approximate half-life of the number of polio cases. Round the answer to one decimal place. years
Please show/explain method if using excel
The following table is a selection of average prices for a gallon of gas in the United States. Year Gas Price Index Value 2001 [A] 2003 [B] 2004 2018 [A] = Build an index from these values, using 2003 as the base year. Round each index value to the nearest tenth. [B] = = [C] = $1.42 $1.56 $1.85 $2.72 [D] = [C] [D]
I need help finding the distance the stick traveled. It’s average acceleration is 1.5 mph.
from I. to III. please thank you