A Quadratic Regression Model Is Fit to a Set of Sample

question 66

Multiple Choice

A quadratic regression model is fit to a set of sample data consisting of 6 pairs of data. Given that the sum of squares of residuals is 29.73 and that the y-values are 11, 14, 19, 22, 26, 27, find $R ^ { 2 } = 1 - \frac { \Sigma ( y - \hat { y } ) ^ { 2 } } { \Sigma ( y - y ) ^ { 2 } } .$

• A) 0.144
• B) 0.88
• C) 0.856
• D) 0.844

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Definitions:

Click Type

A type of mechanism, often found in torque wrenches, that produces a clicking sound to signal the user when a pre-set torque value is reached.

Dial Gauge Type

A category of measurement tools that use a dial to indicate small distances or angles, often used for precision engineering.

Yield Point

The stress at which a material begins to deform permanently, marking the end of elastic behavior and the beginning of plastic behavior.

Clamping Pressure

The force applied by a device to hold or secure objects tightly together, preventing movement or separation.