1). The least squares method minimizes which of the following? a). SST b).SSR c)
ID: 3264404 • Letter: 1
Question
1). The least squares method minimizes which of the following?
a). SST
b).SSR
c). SSE
d).none of theabove
2). Which of the following identifies the range for a correlation coefficient?
a). Any value less than 1
b).Any value greater than 1
c). Any value between 0 and 1
d).None of the above
3). A correlation coefficient R Sub(xy) = -0.85 could indicate a:
a). Relatively weak, positive linear relationship
b). Relatively strong, negative linear relationship
c). Relatively weak, negative linear relationship
d). Relatively strong, positive linear relationship
4). If the coefficient of determination R^2 = 0, then
a). there is no relationship between X and Y.
b).the explained variation equals the unexplained variation.
c). there is no unexplained variation.
d).there is no explained variation.
5). Which of the following statements is least accurate concerning correlation analysis?
a). Correlation does not imply causation.
b).The correlation coefficient captures only a linear relationship.
c).The correlation coefficient may not be a reliable measure when outliers are present in one or both of the variables.
d). The correlation coefficient describes both the direction and strength of the relationship between two variables only if the two variables have the same units of measurement.
Explanation / Answer
1). The least squares method minimizes which of the following?
right choice is (c) SSE
in least square we minimize sum of square due to error i.e. e'e
2). Which of the following identifies the range for a correlation coefficient?
d).None of the above
range of correlation coefficient is -1 to 1
3). A correlation coefficient R Sub(xy) = -0.85 could indicate a:
b). Relatively strong, negative linear relationship
since correlation coefficient is negative so negative relationship and its numerical value is close to 1 so it is strong
4). If the coefficient of determination R^2 = 0, then
d).there is no explained variation.
R^2 explains the proprotion of explained variation by the model. so here R^2=0 so there is no explained variation by the model
5)
5). Which of the following statements is least accurate concerning correlation analysis?
d). The correlation coefficient describes both the direction and strength of the relationship between two variables only if the two variables have the same units of measurement.
The correlation coefficient ; rdoes not distinguish x and y; r has no units; r ranges from -1 to +1 ... The correlation coefficient is a measure of the direction and strength of the linear relationship between 2 quantitative variables. ... Correlation can only be used to describe quantitative variables.
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