BUS – 173 (Applied Statistics)# Determining if the following statement are True and False. If False, write the correctstatement. Also Solve the MCQ01. In the Simple linear regression model, components of the random error term havefixed standard deviation.(a) True(b) False02. In the Simple linear regression model, Y represents the(a) Independent variable(b) Slope(c) Dependent Variable(d) Random error term(e) Not given03.Which of the following is a possible value of coefficient of correlation (r) that indicatesthe strong positive correlation between two quantitative variables(a) 0.95(b) -0.95(c) -1(d) not given

We have given the following statement about the regression model,

Answered: fixed standard deviation. (a) True (b)…

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
If the Pearson correlation between X and Y is negative, then the regression equation will have a negative slope. true or false
True/false (please explain). Suppose that a regression of Y on X₁ is unbiased, and the true slope coefficient is 2. Another variable X2 is correlated with Y, but it is uncorrelated with X₁. In expectation, the default t-statistic on B₁ will be larger in the multivariate regression that includes X₂ than in the bivariate regression that omits X₂.
A statistical test that can be performed to determine any significant linear relationship between two quantitative variables is: * A F-test of the null hypothesis that the slope of the regression line is zero. A F-test of the null hypothesis that the correlation is less than -1. A F-test of the null hypothesis that the correlation is greater than 1. A F-test of the null hypothesis that the intercept of the regression line is zero. The coefficient of determination and the slope of the regression line not necessarily have the same signs. TRUE FALSE If the coefficient of determination is calculated as 0.33 and regression equation y = - 2.4 – 3.5x, then the correlation coefficient is_.* 0.1089 0.5745 -0.1089 -0.5745
x = number of traffic tickets y = Cost of auto insurance A test of linear correlation between traffic tickets and insurance cost produces a linear correlation coefficient of r = 0.705. Determine weather the regression line has a positive slope, or a negative slope
Q 1 If X is a random variable with distribution X: 0 1 2 3 P(X): 1111 44 44 Find the mean, Variance and standard deviation. Q 2 If X is a random variable with distribution X: 0 12 3 4 P(X): 0 K 2K 3K 4K Explain the following: (i) For which value of K, P(X) is probability mass function? (ii) Find the following probabilities: (a) P(1 ≤ X < 4). (b) P(2 < X < 4). Q3 A box contains 6 balls. Two are numbered 4, two are numbered 5, and two are numbered 6. The balls are mixed and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If the experiment is repeated many times, find the variance (²) and standard deviation (o) of the numbers on the balls. Q4 A special six-sided die is made in which 2 sides have 6 spots, 3 sides have 4 spots, and 1 side has 1 spot. If the die is rolled, find the expected value of the number of spots that will occur. Q5 Let X-B(4,0.6). Find the following (i) P(X = 2) (ii) P(1 < X < 4) (iii) Also find mean and variance. Q6…
If the R-squared for a regression model relating the outcome y to an explanatory variable x is 0.9. This implies that there is a positive linear relationship between y and x. True or false?
Two lines of regression are 2x - y - 20 = 0, 2y - x + 4 = 0. The correlation coefficient is
A linear regression analysis reveals a strong, negative linear relationship between x and y. Which of the following could possibly be the results from this analysis? (A) ŷ 13.1 27.4x, r = 0.85 (B) == 27.4+ 13.1x, r = -0.95 (D) == (C) ŷ 13.1+ 27.4x, r = 0.95 542 385x, r = -0.15 (E) 0.85 0.25x, r = -0.85
(15) 5. (TRUE, FALSE) In regression, the coefficient of determination gives the proportion of the variability in the dependent variable that is explained by the regression equation.
In a simple regression analysis (where y is a dependent and x an independent variable), if the slope is positive, then it must be true that there is a positive correlation between x and y there is a negative correlation between x and y if x is increased, y must decrease None of the answers is correct.
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