10:16 PM Thu May 18X22. Linear Modeling (Linear Regression)A bivariate (involving two variables) set of data is given in which x represents thenumber of police cars positioned along a freeway and y represents the averagespeed of cars on the freeway.71216●●●m =fitnyc.open.suny.edub =a) Write the equation of the best-fit line. You may want to use the followingformulas for the slope and y-intercept, respectively:N Σxy - Σx ΣyN Σx2 – (Σx)2y70654732Ex² Ey-Exy ExN Σx2 – (Σx)2b) Assuming the best-fit line holds as an accurate model, what is the expectedaverage speed of cars on the freeway if the number of police cars is 14?c) What is the correlation coefficient? Note: you can use the following equationfor the correlation coefficient:65% 10:16 PM Thu May 182 of 2●●●fitnyc.open.suny.edub) Assuming the best-fit line holds as an accurate model, what is the expectedaverage speed of cars on the freeway if the number of police cars is 14?r =c) What is the correlation coefficient? Note: you can use the following equationfor the correlation coefficient:N Σxy - Σx ΣΥN Σx2 - (Σx)|N Σy2 - (Σy)2☎ 65%

We have given the following table x y 2 70 7 65 12 47 16 32 Now we make the following…

Answered: 2. Linear Modeling (Linear Regression)…

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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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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Can you please help with sub-parts C and D
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