# MATHEMATICS

To what extent did your institution use the following technologies for the instructional delivery of college-level, credit-granting distance education courses in 2006–07? Include online and other modes of distance education. (Circle one on each line.)
Not at all

Small extent

Moderate extent

Large extent

a. Asynchronous Internet-based technologies ………………………………..

1

2

3

4

b. Synchronous Internet-based technologies ………………………………….

1

2

3

4

Two-way interactive video (i.e., two-way video with two-way audio) ………………………………………

1

2

3

4

d. One-way prerecorded video (including prerecorded videos provided to students, and television broadcast and cable transmission using prerecorded videos) ……………………………………..

1

2

3

4

e. One-way video with two-way audio (e.g., interactive television) …….

1

2

3

4

One-way audio transmission (e.g., podcasting, radio broadcasts, and prerecorded audiotapes provided to students) ………………………

1

2

3

4

g. Correspondence only (print-based documents exchanged via postal delivery or email) ……………………………………………………………

1

2

3

4

h. Correspondence combined with the use of distance education technology such as CD-ROM ……………………………………………………

1

2

3

4

i.

1

2

3

4

Technology

c.

f.

Other technology (Specify) _______________________________

An engineer in charge of process improvement wants to study the relationship between the total number of hours of training that an operator has received (X= independent varibale) and the time in minutes that the operator requires to produce a component (Y= dependent variable). She collects the following data:
Xi Yi
1 8
2 6
4 4

Based on her previous studies and experience, the engineer believes that the relationship between Y and X is as follows:
y(carrot)= b0 + b1 (1/x)

Find the values of b0 and b1 using the method of regression (that is, minimizing the sum of the squares of prediction errors) and predict the time in minutes required by the operator to produce the component, after receiving 3 hours of training.
(HINT: introduce a new independent variable which is a function of X(hours of training), using an appropriate transformation so that the relationship between Y(time required to produce a component) and this new independent variable is linear.

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