Vid Mod 2.2: Linear Regressionx123456y713384510489200843466956468Use linear regression to find an linear function that best fits this data.y =

Step 1:We know b1 (slope)=SSxSPxy=∑(Xi−Xˉ)2∑(Xi−Xˉ)(Yi−Yˉ)Where Xˉ (Mean of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Vid Mod 2.2: Linear Regression

x	1	2	3	4	5	6
y	713	3845	10489	20084	34669	56468

Use linear regression to find an linear function that best fits this data.

y =

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Perform Linear Regression Analysis by Octave (or MatLab) software using formulas for calculation of required parameters. Make the graph y versus x values and ytted VS. X on the same plot. x Answers: 0.05 0.04 35.7210 23.3960 7 0.03 13.3970 X S 0.02 6.0310 0.01 1.5190 0 0.0000
The y-intercept in a linear regression model is always relevant and of interest to investigators for every model constructed. True False
Define linear regression?
Suppose there is 1 dependent variable (dissolved oxygen, Y) and 3 independent variables (water temp X1, depth X2, and hardness of water X3). Below is the result of the multiple linear regression. Coefficients Standard Error t Stat P-value Intercept 24.84 4.36 5.69 0.00 Water Temperature (C) -1.17 0.37 -3.20 0.02 Depth (feet) -0.15 0.24 -0.61 0.56 Hardness as mg/L CaCO3 -0.04 0.04 -0.95 0.37 Which of the three independent variable(s) is (are) significant predictor(s) of dissolved oxygen? Use .05 level of significance.
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A certain commercial jet plane uses a mean of 0.15 gallons of fuel per passenger-mile, with a standard deviation of 0.01 gallons. a) Find the mean number of gallons the plane uses to fly 8000 miles if it carries 210 passengers. b) Assume the amounts of fuel used are independent for each passenger-mile traveled. Find the standard deviation of the number of gallons of fuel the plane uses to fly 8000 miles while carrying 210 passengers. c) The plane used X gallons of fuel to carry 210 passengers 8000 miles. The fuel efficiency is estimated as X/(210 × 8000). Find the mean of this estimate. d) Assuming the amounts of fuel used are independent for each passenger-mile, find the standard deviation of the estimate in part (c).
Regression methods were used to analyze the data from a study investigating the relationship between roadway surface temperature (x) and pavement deflection (y). The simple linear regression model is y = 0.33 + 0.0042x. (a) Suppose that temperature is measured in °C rather than °F. Determine regression coefficients for the new model y = Bo +B1x. Round your answer to two decimal places (e.g. 98.76). Bo Round your answer to four decimal places (e.g. 98.7654). (b) What change in expected pavement deflection is associated with a 1°C change in surface temperature? Round your answer to four decimal places (e.g. 98.7654). Save for Later Attempts: 0 of 1 used Submit Answer
894c3d916%#10001 MAT 213 OL1 Elementary Statistics Shayjunna Jones &| 0| 02/03/21 4:56 PM Homework: Homework 3 Save Score: 0 of 3 pts 17 of 20 (3 complete) ▼ HW Score: 10%, 6 of 60 pts 4.2.50 Question Help v Use the given data to do the following. a. Find the regression equation for the data points. b. Graph the regression equation and the data points. 4 3 y 4 -1 9 3 a. Find the regression equation for the data points. y = (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Check Answer 1 part remaining Clear Al 4:56 PM 2/3/2021 Cip
Consider the accompanying data set of dependent and independent variables a. Perform a general stopwise regression using a 0.05 for the p-value to enter and to remove independent variables from the regression model b. Perform a residual analysis for the model developed in part a to verify that the regression conditions are met Click the icon to view the data a. Use technology to perform the general stepwise regression What is the resulting regression equation? Note that the coefficient is 0 for any variable that was removed or not significant -0.69 (050), (050)+(018) - X (Round to two decimal places as needed) • Data Table: y 63 43 51 49 40 42 23 37 30 27 20 31 FR 74 63 78 3534 52 44 47 35 17 15 20 17 Print X₂ 21 259. 15 9 38 18 17 5 40 27 30 33 x₂ 22 aadosa 2NNG 29 20 17 13 17 8 15 10 10 Done 1
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Vid Mod 2.2: Linear Regression x 1 2 3 4 5 6 y 713 3845 10489 20084 34669 56468 Use linear regression to find an linear function that best fits this data.y =

Vid Mod 2.2: Linear Regression