Section B Quiz 1 Advance Machine Learning
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The slope of the regression line of Y on X is also called the:
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Correlation coefficient of X on Y
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Correlation coefficient of Y on X
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Regression coefficient of X on YÂ
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Regression coefficient of Y on X
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This advanced quiz in Machine Learning covers key concepts of regression, including linear regression, regression coefficients, and their implications in predictive modeling.
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In simple linear regression, the numbers of unknown constants are:
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One
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Two
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Three
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FourÂ
Correct Answer
A. TwoExplanation
In simple linear regression, there are two unknown constants: the slope (represented by the letter "m") and the y-intercept (represented by the letter "b"). These constants are determined by fitting a straight line to a set of data points in order to model the relationship between a dependent variable (y) and an independent variable (x). The slope represents the rate of change of the dependent variable with respect to the independent variable, while the y-intercept represents the value of the dependent variable when the independent variable is zero.Rate this question:
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- 3.
If the value of any regression coefficient is zero, then two variables are:
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QualitativeÂ
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Correlation
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 DependentÂ
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IndependentÂ
Correct Answer
A. IndependentÂExplanation
If the value of any regression coefficient is zero, it indicates that there is no relationship or association between the independent variable and the dependent variable. In other words, the independent variable does not have any effect on the dependent variable. Therefore, the two variables are considered independent of each other.Rate this question:
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- 4.
The straight line graph of the linear equation Y = a + bX, slope will be downward If:
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B = 0Â
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B < 0Â
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B > 0Â
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B ≠0
Correct Answer
A. B < 0ÂExplanation
If the value of b is less than 0, it means that the coefficient of X in the equation Y = a + bX is negative. This indicates that as the value of X increases, the value of Y decreases. Therefore, the graph of this linear equation will have a downward slope.Rate this question:
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- 5.
Regression coefficient is independent of:
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 Units of measurementÂ
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 Scale and origin
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Both (a) and (b)Â
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None of them
Correct Answer
A. Both (a) and (b)ÂExplanation
The regression coefficient is a measure of the relationship between the independent variable and the dependent variable in a regression analysis. It represents the change in the dependent variable for a one-unit change in the independent variable. The coefficient is independent of the units of measurement because it is a standardized measure that takes into account the scale and origin of the variables. Therefore, the correct answer is both (a) and (b) - the regression coefficient is independent of both the units of measurement and the scale and origin of the variables.Rate this question:
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- 6.
The purpose of simple linear regression analysis is to:
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Predict one variable from another variable
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Replace points on a scatter diagram by a straight-line
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Measure the degree to which two variables are linearly associated
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Obtain the expected value of the independent random variable for a given value of the dependent variableÂ
Correct Answer
A. Predict one variable from another variableExplanation
Simple linear regression analysis is a statistical method used to predict or estimate the value of one variable based on the value of another variable. It involves fitting a straight line to a scatter diagram of the data points, with the goal of understanding the linear relationship between the two variables. By using this analysis, we can make predictions about the value of the dependent variable based on the known value of the independent variable. Therefore, the purpose of simple linear regression analysis is to predict one variable from another variable.Rate this question:
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- 7.
The straight line graph of the linear equation Y = a + bX, slope will be upward If:
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B = 0Â
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B < 0Â
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B > 0Â
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B ≠0
Correct Answer
A. B > 0ÂExplanation
The slope of a straight line graph represents the rate of change between the variables. In the equation Y = a + bX, the slope is represented by the coefficient b. If b > 0, it means that as X increases, Y also increases. This indicates a positive relationship between the variables, resulting in an upward slope on the graph.Rate this question:
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- 8.
In simple regression equation, the numbers of variables involved are:
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0
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1
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2
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3
Correct Answer
A. 2Explanation
In a simple regression equation, there are two variables involved: one independent variable and one dependent variable. The independent variable is used to predict or explain the changes in the dependent variable. Therefore, the correct answer is 2.Rate this question:
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- 9.
If the points on the scatter diagram indicate that as one variable increases the other variable tends to decrease the value of r will be:
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Perfect positive
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Perfect negative
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Negative
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Zero
Correct Answer
A. NegativeExplanation
If the points on the scatter diagram indicate that as one variable increases, the other variable tends to decrease, the value of r will be negative. This is because a negative correlation exists between the two variables, meaning that as one variable increases, the other variable decreases. The correlation coefficient, r, measures the strength and direction of the linear relationship between the variables. In this case, the negative correlation indicates that as one variable increases, the other variable tends to decrease, resulting in a negative value for r.Rate this question:
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- 10.
In simple linear regression model Y = α + βX + ε where α and β are called:
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Estimates
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Parameters
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Random errors
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Variables
Correct Answer
A. ParametersExplanation
In a simple linear regression model, the variables Y and X represent the dependent and independent variables, respectively. The parameters α and β are the coefficients that determine the intercept and slope of the regression line, respectively. These parameters are estimated from the data and represent the true population values. Therefore, the correct answer is "Parameters".Rate this question:
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Mar 15, 2023Quiz Edited by
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Aug 27, 2018Quiz Created by
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