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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What does a correlation coefficient of 2 indicate? There is a weak relationship between the two quantitative variables. It indicates a calculation error, as the correlation coefficient cannot be 2. There is a strong relationship between the two quantitative variables. It indicates a non-linear relationship between the two quantitative variables. There is no linear relationship between the two quantitative variables.
The correlation coefficient between midterm and final scores in a large statistics class is r=0.6. A scatterplot of the two variables is football shaped. A particular student has a midterm score that is 0.5 SDs below the average midterm score of all students. Using regression, we would predict that the student's final score is _________ SDs _________ the average final score of all students and therefore at the _________ percentile of final scores of all students.
In the simple linear regression model, if there is a very strong correlation between the independent and dependent variables, then the correlation coefficient should be a) close to either -1 or +1 b) close to zero c) close to -1 d) close to +1 ( don't hand writing solution)
if the slope is negative then is the correlation coefficient also negative?
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…
Determine if correlation between the two given variables is likely to be positive or negative, or if they are not likely to display a linear relationship. Your daily calorie intake and weight. (a) Positive (b) Negative (c) No correlation
Kind karl person’s coefficoent of correlation using regression coefficient bxy = -0.37 , bxy =-.50
Two lines of regression are 2x - y - 20 = 0, 2y - x + 4 = 0. The correlation coefficient is
A regression was run to determine if there is a relationship between the happiness index (y) and life expectancy in years of a given country (x). The results of the regression were: ý=a+bx a=-1.692 b=0.117 (a) Write the equation of the Least Squares Regression line of the form (b) Which is a possible value for the correlation coefficient, r? O -0.649 O 1.32 O 0.649 O-1.32 (c) If a country increases its life expectancy, the happiness index will O increase O decrease (d) If the life expectancy is increased by 2.5 years in a certain country, how much will the happiness index change? Round to two decimal places. (e) Use the regression line to predict the happiness index of a country with a life expectancy of 75 years. Round to two decimal places.
In a fisheries researchers experiment the correlation between the number of eggs in tge nest and the number of viable (surviving ) eggs for a sample of nests is r=0.67 the equation of the regression line for number of viable eggs y versus number of eggs in the nest x is y =0.72x + 17.07 for a nest with 140 eggs what is the predicted number of viable eggs ?
A negative correlation means that decreases in the X variable tend to be accompanied by decreases in the Y variable. T or F
If the regression equation is ỹ =1.3+0.20x, and r =0.81 then the correlation is equal to O -0.09 O -0.90 O none O 0.20 O -0.20 O 0.90

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