Question 8<>Biologists have found that there is a relationship between the rate of a cricket's chirp and thetemperature. A regression model is determined, with the predictor variable = chirps per second and theresponse variable y = temperature (°F). The data on which the model is based is given below, along withoutput of the regression analyis.Chirps13 15 16 17Temperature 70 74 79 75.9Correlation Coefficient: r = 0.854Least Squares Equation: 43.31 + 2.09x17 18 19 19 19 2378.3 75 89 86.1 85 88.5=. 22 chirp/sec, predicted temp=• 28 chirp/sec, predicted temp=a. Use the given regression line equation to predict the temperature (round to 1 decimal place) if the rateof cricket chirps is:*F*Fb. Is one of these predictions more reliable than the other?The prediction corresponding to 28 chirps/sec is more reliable.O The prediction corresponding to 22 chirps/sec is more reliable.Both predictions are equally reliable since they are based on the same regression model.0/

The least square equation of regression line is given as- y^=43.31+2.09x where y denotes temperature…

Answered: Biologists have found that there is a…

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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Shelia's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if the glucose level is above 140 milligrams per deciliter one hour after a sugary drink is ingested. Shelia's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with mean 128 mg/dl and standard deviation 9 mg/dl. Let ? denote a patient's glucose level. (a) If measurements are made on four different days, find the level ? such that there is probability only 0.01 that the mean glucose level of four test results falls above ? for Shelia's glucose level distribution. What is the value of ??ANSWER: (b) If the mean result from the four tests is compared to the criterion 140 mg/dl, what is the probability that Shelia is diagnosed as having gestational…
Prehistoric pottery vessels are usually found as sherds (broken pieces) and are carefully reconstructed if enough sherds can be found. An archaeological study provides data relating x = body diameter in centimeters and y = height in centimeters of prehistoric vessels reconstructed from sherds found at a prehistoric site. The following Minitab printout provides an analysis of the data. Predictor Coef SE Coef T P Constant -0.188 2.429 -0.09 0.929 Diameter 0.8121 0.1471 5.47 0.003 S = 4.07980 R-Sq = 88.2% (a) Minitab calls the explanatory variable the predictor variable. Which is the predictor variable, the diameter of the pot or the height? diameterheight (b) For the least-squares line ŷ = a + bx, what is the value of the constant a? What is the value of the slope b? (Note: The slope is the coefficient of the predictor variable.) Write the equation of the least-squares line. a = b = ŷ = + x (c) The P-value for a two-tailed test…
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Prehistoric pottery vessels are usually found as sherds (broken pieces) and are carefully reconstructed if enough sherds can be found. An archaeological study provides data relating x = body diameter in centimeters and y = height in centimeters of prehistoric vessels reconstructed from sherds found at a prehistoric site. The following Minitab printout provides an analysis of the data. Predictor Сoef SE Coef T P Constant -0.209 2.429 -0.09 0.929 Diameter 0.7689 0.1471 5.66 0.002 S 4.07980 R-Sq 88.9% %3D For the least-squares line ŷ = a + bx, what is the value of the constant a? What is the value of the slope b? (ote: The slope is the coefficient of the predictor variable.) Write the equation of the least-squares line. a = b = + The P-value for a two-tailed test corresponding to each coefficient is listed under P. The t value corresponding to the coefficient is listed under T. What is the P-value of the slope? Recall that the t value and resulting P-value of the slope b equal thet value…
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