5. Consider the following table of data.-2-3-17-191 23511371395a. Determine the type of polynomial function which best approximates the data. Justify youranswer.b. Write the regression equation that represents the data.c. Using the graph of the equation, determine the coordinates of any maximum or minimumpoints, stating if these points are relative or absolute. Express the values to the nearesthundredth, if necessary.

Solution: 5. From the given information,

Answered: Consider the following table of data.…

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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The height y (in meters) of a volcano in the southeast Pacific Ocean is recorded in the table for selected years since 1960. Number of Years Since Height (m)| 1960, x 166 10 290 20 408 30 526 40 650 50 760 54 813 a. Graph the data in a scatter plot. b. Use the points (0, 166) and (40, 650) to write a linear function that defines the height y of the volcano, x years since 1960. c. Interpret the meaning of the slope in the context of this problem. d. Use the model in part (b) to predict the height of the volcano in the year 2030 assuming that the linear trend continues.
7. Sky Launch Trampoline Park charges Customers $9.50 per hour they spend jumping. Each customer must also pay $2.50 for grip socks. Write an equation in slope-intercept form to represent this linear function. Derrick spent $31 at Sky Launch Trampoline Park on Sunday. How many hours did he jump?
The following table shows retail sales in drug stores in billions of dollars in the U.S. for years since 1995. 220- 210 200 190 180 170 160 150 Year 0 130- 120- 110- 100- 90 801 6 12 15 Let S(t) be the retails sales in billions of dollars in t years since 1995. A linear model for the data is F(t) = 9.44t + 84.182. Retail Sales 85.851 108.426 141.781 169.256 202.297 222.266 3 6 9 12 15 Use the above scatter plot to decide whether the linear model fits the data well. The function is a good model for the data. The function is not a good model for the data Estimate the retails sales in the U. S. in 2015. billions of dollars.
The manager of a band gets paid $8000 a show, plus 5% commission on the ticket sales of x dollars. Write a linear function that represents the manager’s total pay, P (in dollars), as function of x. Part A: P(x)= Part B: What value of x will result in the manager earning $16000 for a single show? ROUND TO THE NEAREST INTEGER
The table below shows data on the number of employees that a small company had from 1975 to 2000. Year 1975 1980 1985 1990 1995 2000 # of 50 65 70 60 55 44 Employees Let 0 represent the year 1975. Find a quadratic model for this function. .2 y = ax + bx + c Using the above equation, fill in the coefficients for a, b, and c rounding all decimals to the hundredths place.

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