Is There a Relationship Between the Raises Administrators at State $$E ( y ) = \beta _ { 0 } + \beta _ { 1 } x .$$

question 31

Multiple Choice

Is there a relationship between the raises administrators at State University receive and their performance on the job? A faculty group wants to determine whether job rating (x) is a useful linear predictor of raise (y) . Consequently, the group considered the straight-line regression model $$E ( y ) = \beta _ { 0 } + \beta _ { 1 } x .$$
Using the method of least squares, the faculty group obtained the following prediction equation:
$$\hat { y } = 14,000 - 2,000 x$$ Interpret the estimated y-intercept of the line.

• A) For an administrator who receives a rating of zero, we estimate his or her raise to be $14,000.
• B) The base administrator raise at State University is $14,000.
• C) For a 1-point increase in an administrator's rating, we estimate the administrator's raise to increase $14,000.
• D) There is no practical interpretation, since rating of 0 is nonsensical and outside the range of the sample data.

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Definitions:

Okazaki Fragments

Short sequences of DNA nucleotides synthesized discontinuously and later linked together to form the lagging strand during DNA replication.

Heavy Nitrogen (15N)

A stable isotope of nitrogen, used in scientific studies to trace nitrogen pathways and cycles in the environment or organisms.

Meselson and Stahl

Scientists who conducted a landmark experiment in 1958 demonstrating that DNA replication is semiconservative, where each of the original strands serves as a template for a new strand.

Semiconservatively

A method of DNA replication where each of the two parental strands serve as templates for new strands, leading to two daughter molecules each having one old and one new strand of DNA.