I the Least Squares Technique Minimizes the Sum of the Squares

question 103

Multiple Choice

i. The least squares technique minimizes the sum of the squares of the vertical distances between the actual Y values and the predicted values of Y. ii. When a regression line has a zero slope, indicating a lack of a relationship, the line is vertical to the x-axis.
iii. In regression analysis, the predicted value of Y' rarely agrees exactly with the actual Y value, i.e., we expect some prediction error.

• A) (i), (ii), and (iii) are all correct statements.
• B) (i) and (ii) are correct statements but not (iii).
• C) (i) and (iii) are correct statements but not (ii).
• D) (ii) and (iii) are correct statements but not (i).
• E) (i), (ii), and (iii) are all false statements.

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Definitions:

Cystic Duct

A small duct that connects the gallbladder to the common bile duct, conducting bile to and from the gallbladder.

Hepatic Duct

The duct that conveys bile from the liver and gallbladder to the duodenum.

Gallbladder

A small, pear-shaped organ located under the liver that stores and concentrates bile, a fluid produced by the liver to aid in the digestion of fats.

Pancreatic Islets

Clusters of cells in the pancreas that regulate blood sugar levels, notably by producing insulin and glucagon.