Question # Highlight the correct answer or answers for each of the following que
ID: 3309475 • Letter: Q
Question
Question #
Highlight the correct answer or answers for each of the following questions
Basic Theory
4
The best fitting line is found using advanced math to minimize the vertical distances from the points to the line.
Hence, the Y coordinate of a point on the best fitting line provides an estimate of Y at the value of the corresponding X coordinate
This process is called regression (to move backward) because
The estimate of Y will be closer to the mean in standard deviations than X is.
The estimate of Y will be farther from the mean in standard deviations than X is.
5
Highlight all assumptions requiring validation for linear regression and prediction
Scatter plot pattern is reasonably straight (Linearity)
No points lie far enough away to pull the line of best fit away from the main point pattern.
The plot does not fan out as x increases or decreases (Equal Spread)
Predict Y at a value of X within the range of the X data
6
The "intercept" and "slope" completely define the best fitting line.
The intercept is the vertical distance from the origin (where the X and Y axes intersect) up to the line. It sets the elevation of the line
TRUE
FALSE
7
As the slope increases
The line moves up
The line moves down
The line rotates clockwise
The line rotates counterclockwise
8
R2 measures the fit of the line to the points. As R2 increases
The scatter about the line increases and the amount of the variation of Y explained by X decreases
The scatter about the line decreases and the amount of the variation of Y explained by X increases
The scatter about the line increases and the amount of the variation of Y explained by X increases
The scatter about the line decreases and the amount of the variation of Y explained by X decreases
9
The correlation R measures the linear dependence of Y on X, and does not have a unit of measure.
True
False
10
Highlight the 3 correct statements
X denotes the independent or response variable
X denotes the independent or explanatory variable
Y denotes the dependent or explanatory variable
Y denotes the dependent or response variable
x denotes the observed value of the dependent variable
denotes the mean value of observations of the response variable
Question #
Highlight the correct answer or answers for each of the following questions
Basic Theory
4
The best fitting line is found using advanced math to minimize the vertical distances from the points to the line.
Hence, the Y coordinate of a point on the best fitting line provides an estimate of Y at the value of the corresponding X coordinate
This process is called regression (to move backward) because
The estimate of Y will be closer to the mean in standard deviations than X is.
The estimate of Y will be farther from the mean in standard deviations than X is.
5
Highlight all assumptions requiring validation for linear regression and prediction
Scatter plot pattern is reasonably straight (Linearity)
No points lie far enough away to pull the line of best fit away from the main point pattern.
The plot does not fan out as x increases or decreases (Equal Spread)
Predict Y at a value of X within the range of the X data
6
The "intercept" and "slope" completely define the best fitting line.
The intercept is the vertical distance from the origin (where the X and Y axes intersect) up to the line. It sets the elevation of the line
TRUE
FALSE
7
As the slope increases
The line moves up
The line moves down
The line rotates clockwise
The line rotates counterclockwise
8
R2 measures the fit of the line to the points. As R2 increases
The scatter about the line increases and the amount of the variation of Y explained by X decreases
The scatter about the line decreases and the amount of the variation of Y explained by X increases
The scatter about the line increases and the amount of the variation of Y explained by X increases
The scatter about the line decreases and the amount of the variation of Y explained by X decreases
9
The correlation R measures the linear dependence of Y on X, and does not have a unit of measure.
True
False
10
Highlight the 3 correct statements
X denotes the independent or response variable
X denotes the independent or explanatory variable
Y denotes the dependent or explanatory variable
Y denotes the dependent or response variable
x denotes the observed value of the dependent variable
denotes the mean value of observations of the response variable
Explanation / Answer
7) D) The line rotates counterclockwise
8) B) The scatter about the line decreases and the amount of the variation of Y explained by X increases
9) A) true
10) B) X denotes the independent or explanatory variable
d) Y denotes the dependent or response variable
in Q10) beside b) and d) 1 more will be correct out of e) and f) option
post rest questions again