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A chemical reaction is run 12 times, and the temperature x¡ (in °C) and the yield y; (in percent of a theoretical maximum) is recorded each time. The following summary statistics are recorded: 12 y = 29.05 Ex, – T = 6032.0 I= 65.0 12 12 Z0. -T = 835.42 E(*, -(V -F) = 1988.4 %3D Let Bo represent the hypothetical yield at a temperature of 0°C, and let ß1 represent the increase in yield caused by an increase in temperature of 1°C. Assume that assumptions 1 through 4 on page 549 hold. Compute the least-squares estimates o and î a. Compute the error variance estimate s?. Find 95% confidence intervals for ßo and ß1. b. C. A chemical engineer claims that the yield increases by more than 0.5 for each 1°C increase in temperature. Do the data provide sufficient evidence for you to conclude d. that this claim is false? Find a 95% confidence interval for the mean yield at a temperature of 40°C. e. f. Find a 95% prediction interval for the yield of a particular reaction at a temperature of 40°C.

A chemical reaction is run 12 times, and the temperature x¡ (in °C) and the yield y; (in percent of a theoretical maximum) is recorded each time. The following summary statistics are recorded: 12 y = 29.05 Ex, – T = 6032.0 I= 65.0 12 12 Z0. -T = 835.42 E(*, -(V -F) = 1988.4 %3D Let Bo represent the hypothetical yield at a temperature of 0°C, and let ß1 represent the increase in yield caused by an increase in temperature of 1°C. Assume that assumptions 1 through 4 on page 549 hold. Compute the least-squares estimates o and î a. Compute the error variance estimate s?. Find 95% confidence intervals for ßo and ß1. b. C. A chemical engineer claims that the yield increases by more than 0.5 for each 1°C increase in temperature. Do the data provide sufficient evidence for you to conclude d. that this claim is false? Find a 95% confidence interval for the mean yield at a temperature of 40°C. e. f. Find a 95% prediction interval for the yield of a particular reaction at a temperature of 40°C.

MATLAB: An Introduction with Applications
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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A chemical reaction is run 12 times, and the temperature x¡ (in °C) and the yield y; (in percent of a theoretical maximum) is recorded each time. The following summary statistics are recorded: 12 y = 29.05 Ex, – T = 6032.0 I= 65.0 12 12 Z0. -T = 835.42 E(*, -(V -F) = 1988.4 %3D Let Bo represent the hypothetical yield at a temperature of 0°C, and let ß1 represent the increase in yield caused by an increase in temperature of 1°C. Assume that assumptions 1 through 4 on page 549 hold. Compute the least-squares estimates o and î a. Compute the error variance estimate s?. Find 95% confidence intervals for ßo and ß1. b. C. A chemical engineer claims that the yield increases by more than 0.5 for each 1°C increase in temperature. Do the data provide sufficient evidence for you to conclude d. that this claim is false? Find a 95% confidence interval for the mean yield at a temperature of 40°C. e. f. Find a 95% prediction interval for the yield of a particular reaction at a temperature of 40°C.
Transcribed Image Text:A chemical reaction is run 12 times, and the temperature x¡ (in °C) and the yield y; (in percent of a theoretical maximum) is recorded each time. The following summary statistics are recorded: 12 y = 29.05 Ex, – T = 6032.0 I= 65.0 12 12 Z0. -T = 835.42 E(*, -(V -F) = 1988.4 %3D Let Bo represent the hypothetical yield at a temperature of 0°C, and let ß1 represent the increase in yield caused by an increase in temperature of 1°C. Assume that assumptions 1 through 4 on page 549 hold. Compute the least-squares estimates o and î a. Compute the error variance estimate s?. Find 95% confidence intervals for ßo and ß1. b. C. A chemical engineer claims that the yield increases by more than 0.5 for each 1°C increase in temperature. Do the data provide sufficient evidence for you to conclude d. that this claim is false? Find a 95% confidence interval for the mean yield at a temperature of 40°C. e. f. Find a 95% prediction interval for the yield of a particular reaction at a temperature of 40°C.
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