14. Given the following data :104Y9117Find the two regression equations and calculate the standard error of the estimate (Syx andSx y).

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Answered: 14. Given the following data : 2 10 4 8…

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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Compute the least-squares regression equation for the given data set. Use a TI-84 calculator. Round the slope and y-intercept to at least four decimal places. 43 37 15 19 24 37 18 y 72 67 25 29 42 65 32 Send data to Excel Regression line equation: y = 1.7777x + 1.5838
Find the multiple regression equation with weight as the response variable and the dummy variable of sex and the variable of age as the explanatory variables.
a. Estimate the regression line and also write the prediction equation. y = 83.4578-5.8795 x y = 5.8795 + 83.4578 x ŷ ŷ= = -5.8795 + 83.4578 x = 83.4578 + 5.8795 x
A supermarket has a chain of 12 stores in Kuwait. Sales figures and profits for the stores are given in the following table. Obtain a regression equation for the data, and predict profit for a store assuming sales of $20 million. Show all calculations in detail. Sales, x (in millions of dollars) Profits, y (in millions of dollars) 7 0.12 2 0.1 6 0.13 12 0.15 14 0.25 16 0.2 10 0.24 12 0.2 14 0.27 20 0.15 7 0.34 8 0.17
A sample of n = 25 scores has a mean of x̅ = 65 and an estimated standard error of sM = 2 points. What is the sample variance?
18. Give the following data, which is the equation of the regression line? 3 4 12 Y 8. 6. 9. 12 C. y = 4.98 + 0.725 d. y = 4,88 + 0.525 a. y = 4.88+ 0.625x %3D b. y = 4.98 +0.425x 19. Which of the following gives the best fit of the line for a given data? a. y = 2+ 6.5x, r = 0.65 b. y = 6.05 + 0.825x, r = 0.64 c. y = -1.10 + 9x, r = -0.72 d. y = 100 + 75x, r = 0.50
Solvent cement is used to join PVC joints. Researchers are interested in predicting the amount of time needed for the joint to set (measured in hours) as it is related to the temperature measured in degrees F for 4 to 8-inch diameter pieces. A random sample of PVC joints was taken and a linear regression model was found. Use the following output and the fact that R2 = 0.965 to answer the following questions. 1. Find the equation of the regression line. 2. Interpret the slope in the words of the problem. 3. Find the Coefficient of Determination and interpret in the words of the problem
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14. Given the following data : 2 10 4 8 Y 9. 11 8 Find the two regression equations and calculate the standard error of the estimate (Syx and Sxy).