Find the least squares polynomials of degrees 1, 2, and 3 for the data in the following table. Computethe error E in each case. Graph the data and the polynomials.1.01.11.31.51.92.1yi1.841.96 2.21 2.45 2.943.18Only need polynomial of degrees 2 and 3. i.e. not 1.

Given the data as xi yi 1.0 1.84 1.1 1.96 1.3 2.21 1.5 2.45 1.9 2.94 2.1 3.18

Answered: Find the least squares polynomials of…

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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Data in the table comes from the NASA Global Climate Change website. It gives the average globaltemperature, in Celsius, for the given year. Use both rows for your calculations. For this problem, youwill see how well year correlates with the average temperature. Let ? be the number of years since1984 and ? be the average global temperature in degrees Celsius.Year 1984 1986 1988 1990 1992 1994 1996 1998 2000Temp 0.16 0.18 0.38 0.45 0.22 0.31 0.33 0.61 0.40Year 2002 2004 2006 2008 2010 2012 2014 2016 2018Temp 0.63 0.54 0.64 0.54 0.72 0.64 0.75 1.02 0.85a. Make a scatterplot of the data. Being sure to clearly label each axis. Keep in mind howeach variable is defined. Based on this scatterplot, is a linear model reasonable for this data set?Briefly explain.b. Determine the correlation coefficient for this data. Interpret this value in context.c. Determine the coefficient of determination for this data. Interpret this value incontext.d.State the regression line for the data.e. What does the…
The following table lists the birth weights (in pounds), x, and the lengths (in inches), y, for a set of newborn babies at a local hospital. Birth Weights and Lengths Birth Weight (in Pounds), x 1212 77 1212 77 33 99 55 77 44 1212 Length (in Inches), y 2222 1818 2020 1616 1717 1919 1717 1919 1717 2020 Copy Data Step 1 of 2 : Find an equation of the least-squares regression line. Round your answer to three decimal places, if necessary.
The table lists the average tuition and fees at private colleges and universities for selected years. Year 1985 1990 1995 2000 2008 5311 25,115 Tuition and Fees (in dollars) 9375 SO 12,418 (a) Find the equation of the least-squares regression line that models the data. y 840.450 (Type the slope as a decimal rounded to three decimal places. Round the y-intercept to the nearest integer.) (b) Graph the data and the regression line in the same viewing window using the parameters given below the graph choices. Choose the correct graph below. OA. O B. o HE RO OC. 16,230 A o ƠN
A biologist collected data on a sample of 20 porcupines. She wants to be able to predict the body mass of a porcupine (M, in grams) based on the length of the porcupine (L, in cm). Her least squares regression equation is M = – 3089 + 175.6L. Predict the body mass of a porcupine that is 51 cm long. Report your answer using one decimal place. O 5661.0 g O 5732.5 g O 5866.6 g O 6139.2 g eTextbook and Media Save for Later Last saved 3 minutes ago. Attempts: 2 of 3 used Submit Answer Saved work will be auto-submitted on the due date. Auto- submission can take up to 10 minutes.
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assess2/?cid%3D78918&aid%3D5632695#/skip/11 a Project-A.. The table below sows the number of hate crimes for 2007 to 2018. The value for 2007 is slightly different than the actual value so that each student gets their own unique problem. Number of hate Year crimes 2007 7612 2008 7783 2009 6604 2010 6628 2011 6222 2012 5796 2013 5928 2014 5479 2015 5850 2016 6121 2017 7175 2018 7120
In a regression analysis, if the sum of squares ERROR is 280 and the sum of squares REGRESSION is 370, then the coefficient of determination is b. C. d. 0.4307 1.3214 0.5692 0.7567
A local mechanic keeps track of the number of customers each day, x, and the revenue for that day, y. He hired a data analyst to make a model for the data. The analyst gave him the table below that shows the number of customers and the predicted revenue. Suppose the mechanic had a day with 10 customers and a revenue of $1243. What is the residual? 5. 620 6 702 7 784 8. 866 9. 948 10 1030 11 1112 12 1194 13 1276 4:49 PM 5/12/2021 PrtScn F8 PgUp F11 DII Home End F9 F10 F12 F3 F4 F5 F6 F7 * 4 7 8 9.
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Researchers are investigating how the amount of monthly rainfall, measured in centimeters (cm), affects the monthly growth, in cm, of a certain plant. From a sample of data, the researchers created a least- squares regression line. Computer output is shown in the following table. Variable DF Estimate SE T Intercept 1 0.75 0.350 2.14 Rainfall 1 0.15 0.025 6.00 Which of the following statements is an interpretation of the value 0.75 shown in the table? A Monthly growth is expected to increase by 0.75 cm when rainfall increases by 1 cm. Rainfall is expected to increase by 0.75 cm when monthly growth increases by 1 cm. For a month with 0 cm of rainfall, the monthly growth is expected to be approximately 0.75 cm. For a plant with 0 cm of monthly growth, the month had an expected rainfall of approximately 0.75 cm. E Approximately 75% of the variability in monthly growth is due to its linear relationship with rainfall.

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Find the least squares polynomials of degrees 1, 2, and 3 for the data in the following table. Compute the error E in each case. Graph the data and the polynomials. 1.0 1.1 1.3 1.5 1.9 2.1 yi 1.84 1.96 2.21 2.45 2.94 3.18