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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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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Listed below are paired data consisting of movie budget amounts and the amounts that the movies grossed. Find the regression equation, letting the budget be the predictor (x) variable. Find the best predicted amount that a movie will groes f to budget is $100 million. Use a significance level of a 0.05. Budget (S)in Millions Gross (S) in Millions 45 17 114 67 70 49 117 67 3. 62 128 21 11 152 10 103 72 131 121 105 105 51 95 203 24 13 289 48 114 12 Click the icon to view the critical values of the Pearson correlation coefficient r. The regression equation is y= x (Round to one decimal place as needed.)
Using a sample of 46 college students, we want to determine if there is a significant correlation between weight (in lbs.) and weekly exercise (in minutes). The results of a correlation and regression analysis are indicated in the Excel output below. The mean weight (the independent variable) was 166.80 lbs., and the mean weekly exercise time (the dependent variable) was 158.83 minutes. SUMMARY OUTPUT Regression Statistics Multiple R 0.027082077 R Square 0.000733439 Adjusted R Square -0.021977165 Standard Error 79.41761298 Observations 46 ANOVA df SS MS F Significance F Regression 1 203.6896 203.6896 0.032295 0.858207 Residual 44 277514.9 6307.157 Total 45 277718.6 Coefficients Standard Error t Stat P-value Lower 95%…
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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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Using the data, run a regression where you control for “Promotion,” and test the effect of “Wins” on “Attendance”. Does “Promotion” have a significant effect on “Attendance”? Wins Promotion Attendance 4 29500 36300 6 55700 40100 6 71300 41200 8 87000 53000 6 75000 44000 7 72000 45600 5 55300 39000 7 81600 47500
Use the output below to test to see if there is a significant negative linear relation between atmospheric pressure and maximum wind speed of hurricanes. Use a 1% level of significance. Correlations: Pressure, WindSpeed Pearson correlation of Pressure and WindSpeed -0.958 %3D P-Value = 0.000

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