A group of researchers are working to determine the historicsea levels of the body of water. They are attempting to dothis by taking samples around the body of water and in anearby cave and after analyzing sediment cores from aroundthe body of water to those in the cave.The Climatologist that is working in the cave is trying todetermine the age and growth rate of stalactites, to get amore accurate picture of the age of the existing stalactites.The following table contains the estimated age (to thenearest thousand) of the sample and the length of the samplein micrometers. Find a linear model that express length as afunction of the age.Round your answers to 2 decimal placesAge (nearest thousand)Lengthin thousands of years=Micrometers790690431009110808110241123511532768797104106108111x+13.6151 o where x is the age

Given: Age, x Length in Micrometers, y 76 7906 87 9043 97 10091 104 10808 106 11024…

Answered: The Climatologist that is working in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along a straight path. How fast is the tip of his shadow moving when he is 30 ft from the pole? 16/3 X ft/s Enhanced Feedback Please try again. Draw a diagram for this problem. Draw a right triangle with horizontal and vertical edges. Let the vertical edge be the pole. Draw another vertical line with one end on the hypotenuse: and the other end on the horizontal edge depicting the man. Label the distance between the man and the pole x and the distance between the man and the tip of the shadow y. Use properties of similar triangles to find a relation among x, y, the height of the man, and the height of the pole. Differentiate this equation with respect to time, t, using the Chain Rule, to find the equation for the rate at which the tip of the shadow is moving, (x + y). Then, use the values from the exercise to evaluate the rate of change of the distance between the…
City Hall wishes to learn about the rate of parking mater use. They choose 8 Downton blocks at random and on each block they choose 5 meters at random. Six weeks are chosen randomly from the year, and the usage on each meter is measured everyday for all the meters in those weeks.Write out an appropriate linear model
The table below gives the percent of men 65 years or older in the workforce for selected years from 1920 and projected to 2030. Complete parts a and b below. Click to view the table of the percentages. a) With x = 0 representing 1900, find the cubic function that models the data. Report the model with coefficients to six decimal places, y=0 example Textbo Data table Year 1920 1930 1940 1950 1960 1970 Percent 45.5 42.5 41.8 43.2 33.4 22:3 Print Year 1980 1990 2000 2010 2020 2030 Percent D 19.3 16.4 17.5 23,6 27.4 28.1 Done X lear all Check answe 6:33 PM
Given a regression model with theta0 = 67.4 and theta1 = 18.28, find the estimated y value for x = 16. (Use 4 significant figures)
The table below show data that has been collected from different fields from various farms in a certain valley. The table contains the grams of Raspberries tested and the amount of their Vitamin C content in mg. Find a linear model that express Vitamin C content as a function of the weight of the Raspberries. grams55606570758085 Vitamin Ccontent in mg11.614.115.918.920.322.825.5 A) Find the regression equation: y= x+Round your answers to 3 decimal placesB) Answer the following questions using your un-rounded regression equation. If we test 115 grams of raspberries what is the expected Vitamin C content? mg(round to the nearest tenth)
Justina and Frank, a couple, operate a joint account at ECOBANK Ghana Limited. Both have decided to obtain cash from an ATM (cash machine) located at University of Ghana Campus. They suspect that the rate at which they spend cash is influenced by the amount of cash they withdrew at their previous visit to the ATM. To help them understand this, they deliberately vary the amounts they withdraw. They record, for each visit to an ATM, the amount, GHS (y), withdrawn, and the amount of hours, x, until their next visit to an ATM. The table below shows the records for all their visits in hours and the corresponding amount they withdrew in each instance. Using microsoft excel, answer the questions that follow after the table. withdrawal 1 2 3 4 5 6 7 8 9 10 Y 400 100 1000 1100 1200 1500 200 900 800 130 X 56 62 195 330 94 270 48 196 214 286 Using excel, provide a summary statistics for x and y (hint: mean, median,…
Use the estimated regression equation to predict the total time to produce the order of size 240. Round to 2 decimals.
Find the r^2 value
To estimate ages of trees, rangers use a simple regression model that relates the tree diameter (inches) to their age (years). The model is useful because tree diameter has an association to tree age (count of cross section rings). 8 trees were sampled. The regression model is: TreeAge= -0.15228+6.451 (Diameter) Formulas: a) The value of the slope is ["", "", "", ""] . b) The value of the y-intercept is ["", ""] . c) The predicted tree age for a tree with diameter 9.5 inches is ["", ""] years.
Engineers concerned about a tower's stability have done extensive studies of its increasing tilt. Measurements of the lean of the tower over time provide much useful information. The following table gives measurements for the years 1975 to 1987. The variable "lean" represents the difference between where a point on the tower would be if the tower were straight and where it actually is. The data are coded as tenths of a millimeter in excess of 2.9 meters, so that the 1975 lean, which was 2.9647 meters, appears in the table as 647. Only the last two digits of the year were entered into the computer. 80 83 86 75 76 77 78 647 649 660 672 79 81 82 84 85 678 693 701 703 717 722 729 747 (a) Plot the data. Consider whether or not the trend in lean over time appears to be linear. (Do this on paper. Your instructor may ask you to turn in this graph.) Year Lean (b) What is the equation of the least-squares line? (Round your answers to three decimal places.) y = X x + x x What percent of the…
(a) Make a scatter diagram of the data. (b) Use the regression feature of a calculator to find the best-fitting linear function for the data. Graph the function with the data. (c) Repeat part (b) for a cubic function. (d) Estimate the minimum sight distance for a car traveling 68 mph using the functions from parts (b) and (c). (e) By comparing the graphs of the functions in parts (b) and (c) with the data, decide which function best fits the given data.
Based on data from 34 adults who exercise regularly, the line of best fit for the relationship between bicep girth (the length in centimeters around the upper arm) and the person's weight is: predicted weight = 2.6 bicep girth – 10.5 %3D where predicted weight is measured in kilograms and bicep girth is measured in centimeters.

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