Question 4: Suppose that in a certain chemical process the reaction time y (hr) is related to the temperature (°C) in thechamber in which the reaction takes place according to the simple linear regression model with equation y = 5.00 -0.01x.(a)What is the expected change in reaction time for a 1°C increase in temperature? For a 10°C increase in(b)(c)temperature?What is the expected reaction time when temperature is 98°C? When temperature is 120°C?Suppose σ = 0.08. Consider the temperature 98°C. What is the probability that the reaction time willexceed 4 hours?(d)What is the probability that two independently observed reaction times for temperatures 1° apart are suchthat the time at the higher temperature exceeds the time at the lower temperature?

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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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In a comprehensive road test on new car models, one variable measured is the time it takes a car to accelerate from 0 to 60 miles per hour. To model acceleration time, a regression analysis is conducted on a random sample of 129 new cars. TIME60: y = Elapsed time (in seconds) from 0 mph to 60 mph MAX: x = Maximum speed attained (miles per hour) The simple linear model E(y) = Bo + B1x was fit to the data. Computer printouts for the analysis are given below: NWEIGHTED LEAST SQUARES LINEAR REGRESSION OF TIME60 PREDICTOR VARIABLES COEFFICIENT STD ERROR STUDENT'S T CONSTANT 187171 0.63708 29.38 0.0000 0.0000 MAX -0.08365 0.00491 -17.05 0.6960 0.6937 R-SQUARED RESID. MEAN SQUARE (MSE) 1.28695 ADJUSTED R-SQUARED STAND ARD DEVIATION 113444 SOURCE DF MS F REGRESSION 374.285 0.0000 374.285 1.28695 290.83 RESIDUAL 127 163.443 TOTAL 128 537.728 CASES INCLUDED 129 MISSING CASES 0 Fill in the blank: "At a =.05, there is between maximum speed and acceleration time." O sufficient evidence of a…
Suppose that in a certain chemical process the reaction time y (hr) is related to the temperature (°F) in the chamber in which the reaction takes place according to the simple linear regression model with equation y = 5.10 0.01x and a = 0.085. USE SALT (a) What is the expected change in reaction time for a 1°F increase in temperature? For a 9°F increase in temperature? 1°F increase hr hr 9°F increase (b) What is the expected reaction time when temperature is 220°F? When temperature is 260°F? 220°F hr ✓hr 260°F 2.5 (c) Suppose five observations are made independently on reaction time, each one for a temperature of 260°F. What is the probability that all five times are between 2.37 and 2.63 hours? (Round your answer to four decimal places.) (d) What is the probability that two independently observed reaction times for temperatures 1° apart are such that the time at the higher temperature exceeds the time at the lower temperature? (Round your answer to four decimal places.) 0.4602 X You…
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3
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