Carnegie Mellon University

If the planet in question is the earth, at what temperature does the average translational kinetic
energy of a nitrogen molecule (molar mass 28.0 g/mol.) equal that required to escape? What about a
hydrogen molecule (molar mass 2.02 g/mol.)?

A force F acts on a mass m, initially at rest, for time t producing a final velocity v

For how long would a force 2F have to act to produce the same final velocity?

Development of new customer-based goods and services, improved and more timely decision-making, and more efficient and comprehensive search and research are all attributed as returns on using big data.

a.

True

b.

False

Consider the 1-D dataset as shown in Figure 1(a). Can you think of a 1-D transformation that will make the points linearly separable?

A college entrance examination consisted of three tests, in Mathematics, English, 
and General Knowledge. To test the ability of the examination to predict performance in a 
statistics score, data was collected from a sample of 200 students as follows:
If X1 =Statistics Score X2 =Math Score X3 =English Score X4 =General Knowledge 
Score 
The following are the correlations for the four variables:
r12=0.90 r13 =0.75 r14 =0.80 r23 =0.70 r24 =0.70
Compute and interpret the coefficient of the partial correlation for the following:
(a) r12.3 (b) r13.2 (c) r23.1

Compute and interpret the partial correlation r13.2=0.386