8. Let consider the data {(−1,0), (2,1), (3,1), (5,2)}.(a) Observe it scatter plot.(b) Approximate the correlation between x and y coordinates.(c) Find the linear regression model by the least square.(d) Find a polynomial that passes through the points.

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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 owner of Showtime Movie Theaters, Inc., would like to predict weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow. Weekly Gross Revenue ($1,000s) 96 90 ŷ = 95 92 95 94 94 94 Television Newspaper Advertising Advertising ($1,000s) ($1,000s) 5.0 2.0 4.0 2.5 3.0 3.5 2.5 3.0 1.5 2.0 1.5 2.5 3.3 2.3 4.2 2.5 (a) Develop an estimated regression equation with the amount of television advertising as the independent variable. (Round your numerical values to two decimal places. Let X₁ amount of television advertising in $1,000s and y represent the weekly gross revenue in $1,000s.) ŷ = represent the (b) Develop an estimated regression equation with both television advertising and newspaper advertising as the independent variables. (Round your numerical values to two decimal places. Let x₁ represent the amount of television advertising in $1,000s, x₂ represent the amount of newspaper advertising in $1,000s, and y represent the weekly…
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
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An oceanographer measured the length, in meters, of a deepwater wave and its speed, in meters per second. The results are shown in the following table. (a) Find the equation of a linear regression line for the data where wave length is the independent variable, x, and speed is the dependent variable. (Round your numerical values to two decimal places.) y= ? (b) Using the equation from part (a), estimate the speed (in meters per second) of a wave that is 200 m long. (Round your answer to one decimal place.) ? m/s
How is the Polynomial Regression model different from the Simple Linear Regression and Multiple Linear Regression models? Select an answer: a. The independent variables are categorical instead of numerical. b. There are multiple dependent variables instead of just one. c. The independent variable is raised to a higher power (squared, cubed, etc.). d. The dependent variable is raised to a higher power (squared, cubed, etc.).
In a simple linear regression model, y=β0+β1x+ϵ the parameter β1 represents the Select one: a. error term. b. mean value of x. c. slope of the true regression line. d. intercept.

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(a) Observe it scatter plot. (b) Approximate the correlation between x and y coordinates. (c) Find the linear regression model by the least square.