Exhibit 12-1A regression analysis resulted in the following information regarding a dependent variable (v) and an independent variable (x).n=10Ex=55Σι= 55Ex²=385Ev=385Στ= 220Refer to Exhibit 12-1. The least squares estimate of b₁ equals

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Answered: A regression analysis resulted in the…

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 regression equation of production (x) on capacity utilisation () of a certain firm is 3x – 2.76y – 102.30 = 0. The average capacity utilisation of the firm was 70% and the variance of capacity utilisation Is ) thof the variance of production. Find the average production and coefficient of correlation Between production and capacity utilisation.
Write down the different Multiple Regression Equations?
two variables have at least squares regression line of 28.77 + 0.346 7x. Calculate the value of y that is predicted for an x value of 35.
Suppose there is 1 dependent variable (dissolved oxygen, Y) and 3 independent variables (water temp X1, depth X2, and hardness of water X3). Below is the result of the multiple linear regression. Coefficients Standard Error t Stat P-value Intercept 24.84 4.36 5.69 0.00 Water Temperature (C) -1.17 0.37 -3.20 0.02 Depth (feet) -0.15 0.24 -0.61 0.56 Hardness as mg/L CaCO3 -0.04 0.04 -0.95 0.37 Which of the three independent variable(s) is (are) significant predictor(s) of dissolved oxygen? Use .05 level of significance.
Based on the data presented in the table below, please calculate the values of b0 and b1 using OLS (ordinary least squares) and for the equation: q1 = β0 + β1pi + ui. qi pi 1 2 2 3 3 5
The following table number of absences (x) and the grade earned on the first exam (y) for a Statistics class. 3. 9. 5 8. y 86 76 91 54 84 54 The least-squares regression line is in the form y= bo + b,x. Compute the value of bo. That is, compute the intercept. Round your answer to two decimal places. Write only a number as your answer. Your Answer: Answer
Use the least squares regression model to estimate the maximum sustained wind speed in a hurricane when the pressure reading is 950 mb. Interpret the slope of the least squares regression model in the context of wind speed and atmospheric pressure. Determine the coefficient of determination and interpret its meaning in the context of wind speed and atmospheric pressure.
Required information In a certain community, levels of air pollution may exceed federal standards for ozone or for particulate matter on some days. For a particular summer season, let X be the number of days on which the ozone standard is exceeded and let y be the number of days on which the particulate matter standard is exceeded. Assume that the joint probability mass function of X and Y is given in the following table: X 0 1 2 0 0.10 0.17 0.06 y 1 0.11 0.23 0.14 2 0.05 0.08 0.06 Find P(X= 1 and Y=0). (Round the final answer to two decimal places.)
A least squares regression line was calculated to relate the length (cm) of newborn boys to their weight in kg. The line is weight = -5.25 +0.1696 length. A newborn was 48 cm long and weighed 3 kg. According to the regression model, what was his residual? What does that say about him?
An article gave a scatter plot, along with the least squares line, of x = rainfall volume (m³) and y data on rainfall and runoff volume (n = runoff volume (m³) for a particular location. The simple linear regression model provides a very good fit to 15) given below. The equation of the least squares line is y = -2.364 + 0.84267x, ² 0.976, and s = 5.21. = x 5 12 14 17 23 30 40 47 55 67 72 81 96 112 127 y 3 9 12 14 14 24 27 45 38 46 52 71 81 100 101 (a) Use the fact that s = 1.43 when rainfall volume is 40 m³ to predict runoff in a way that conveys information about reliability and precision. (Calculate a 95% PI. Round your answers to two decimal places.) Ŷ 28.25 1x ) m³ Does the resulting interval suggest that precise information about the value of runoff for this future observation is available? Explain your reasoning. OYes, precise information is available because the resulting interval is very wide. 34.46 Yes, precise information is available because the resulting interval is very…

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A regression analysis resulted in the following information regarding a dependent variable (v) and an independent variable (x). n= 10 Ex=55 Σ1=55 Ex²=385 Στα 385 Στις 220 Refer to Exhibit 12-1. The least squares estimate of by equals