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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The temperature of a liquid during the first four minutes of an experiment has been recorded in the table below. Time (x) (minutes) 0 1 2 3 4 Temperature (y) (°C) 30 33 40 56 73 Determine if the relationship between temperature and time is linear by constructing a residual plot.
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
Lean body mass (weight leaving out fat ) helps predict metabolic rate (how many calories of energy are burned in a hour ) The relationship is roughly a straight line the least squares regression line for predicting metabolic rate (y in calories) from lean body mass (x in kilograms) is y =113.2+26.9x The slope of regression line is ?
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Statistics professor wants to use the number of hours (x) a student studies for a statistics final exam to predict the final exam score (y). A regression model was fit based on data collected from a class during the previous semester, with the following results: (y hat): y = 35.0 + 3X 1. What is the y-intercept? 2. What is the slope? 3. If the student spends 2 hours studying, what could be his/her final exam score? 4. If the student spends 2 hours studying, what could be his/her final exam score?5. If the student does not study for the final exam, what is the predicted final exam score?
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EQuestion Help Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x IA Test score,y 3 (a) x=2 hours (c) x= 12 hours (b) x = 25 hours (d) x= 4.5 hours 38 44 50 47 61 68 Find the regression equation. y = 6.269 x+ (32.48) (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Choose the correct graph below. OD. OB. OC. O A. 80- 80- 80 80-4 0-+ Hours studying Hours studying Hours studying Hours studying 10 18 PM (E) More 10/3/2020 Click to select your answer(s)

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