Allustration 27. For a bivariate data, you are given the following information:E(X- 58) = 46'EXX - 58)? = 3086E(Y- 58) = 9E(Y- 58)* = 483E(X – 58) (Y– 58) = 1095Number of pairs of observations = 7.You are required to determine (i) the two regression equations and (ii) the co-efficient of correlationbetween X and Y series.%3D%3!

Solution-: Given: We find, (a) The regression line Y on X and The regression line X on Y (b)…

Answered: lustration 27. For a bivariate data,…

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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41. Which of the following is the multiple regression model for the data? (a) y = -0.11050 + 2.10797x1 + 0.40717x2 (b) y = -0.11050 + 0.40717x1 + 2.10797x2 (c) y = 0.23563 + 0.00062x1 + 0.23626x2 (d) none (e) y = -0.44187 + 2.42120x1 + 0.36135x2
Tom has been gathering data concerning the cost of a spa treatment, y', during the before Valentine's Day. The only independent variable that he has considered is the number of minutes, "x," in the treatment. Suppose Tom collects data on the relationship between the number of minutes in a treatment and the resulting cost of we the treatment. Tom finds that the correlation between cost and number of minutes is strong and positive. Therefore, he has performed a linear regression analysis on his data. His results are that the constant "a" is 35, and the coefficient "b1" for the independent variable is 1.3. Which of the following is the correct linear regression equation that would allow Tom to predict the cost of a spa treatment given the number of minutes? Oy = 78x + 35 Oy' = 1.3x + 35 %3D Oy = 78x - 1.3 %3D OY = -1.3x - 35
The amounts of 6 restaurant bills and the corresponding amounts of the tips are given in the below. Assume that bill amount is the explanatory variable and tip amount the response variable. Bill 32.98 49.72 52.44 64.30 97.34 88.01 Tip 4.50 5.28 7.00 7.70 16.00 10.00 (a) Find the correlation: r= (c) The regression equation is y^= . (d) If the amount of the bill is $90, the best prediction for the amount of the tip is $ .Note: Enter your answer as a number xx.xx (e) According to the regression equation, for every $5 increase in the bill, the tip should INCREASE or DECREASE) by $ .
Two lines of regression are 2x - y - 20 = 0, 2y - x + 4 = 0. The correlation coefficient is
Can a causal relationship be established between a variable y and a variable x by running the following regressions: i) y = f(x) and ii) x = f(y). Explain in less than 75 words.
The estimated regression equation for a model involving two independent variables and 10 observations follows. y = 33.0798 + 0.6071x1 + 0.7058x2 a. Interpret b₁ and b2 in this estimated regression equation (to 4 decimals). b₁ = - Select your answer - b₂ = - Select your answer - b. Estimate y when *₁ = 180 and ₂ = 310 (to 3 decimals).
A study of king penguins looked for a relationship between how deep the penguins dive in meters (x) and how long they stay underwater in minutes (y). The study reported that the regression equation was ˆy=−0.044x+4.937y^=-0.044x+4.937 and the coefficient of determination was 0.81What is the correlation coefficient for this data set (round your answer to 2 decimal places)?
An IQ test is designed so that the mean is 100 and the standard deviation is 14 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 2 IQ points of the true mean. Assume that sigma=14 and determine the required sample size. Then determine if this is a reasonable sample size for a real world calculation.
A linear relationship exists between two variables x and y. The correlation coefficient was calculated for the sample data and is equal to -0.93. Using the estimated regression equation, a straight line that will best fit the data points can be drawn through the points on the scattergram. The line slopes downward from left to right and the points are not scattered close to the line. True or false

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