probability and statics, homework help

probability and statics, homework help

Unit 2 Lesson 1 Assignment

1)  A government economist obtained the following data from a random sample of ten private companies in the natural gas exploration business. Researchers believe that the more money a company puts into exploration and development the larger volume of natural gas discovered.

$ in exploration & development	5.8	8.3	1.7	7.7	5.6	2.4	15.8	10.1	12.4	7.9
Volume of natural gas	9.1	17.4	4.7	12.3	3.8	4.6	18.1	19.3	16.9	12.6

 a) What is the response variable?

 b) What is the explanatory variable?

 c) Draw a scatterplot. (Be sure to clearly label axes and have a title)

2)  A random sample of 11 Math-101 students provided the following data (x = midterm grade (explanatory) and y = final exam score (response).

x	66	71	80	76	63	73	81	68	84	83	79
y	130	132	135	134	129	133	136	132	138	136	135

a) What do you think researchers were trying to say about the midterm grade?

 b) Draw the scatterplot. (Be sure to clearly label axes and have a title)

3)  A study observes a large group of people over a 10-year period. The goal is to see if overweight and obese people are more likely to die during the decade than people who weigh less. Such studies can be misleading, because obese people are more likely to be inactive and to be poor. What is the explanatory variable and the response variable? What other variables are mentioned that may influence the relationship between the explanatory variable and the response variable?

4)  How well does a child’s height at age 6 predict height at age 16? To find out, measure the heights of a large group of children at age 6, wait until they reach age 16, then measure their heights again. What are the explanatory and response variables here? Are these variables categorical or quantitative?

5)  A large industrial plant has seven divisions that do the same type of work. A safety inspector visits each division of 20 workers quarterly. The number of work-hours devoted to safety training and the number of work-hours lost due to industry related accidents are recorded for each separate division.

No of work-hours in safety training	No of work-hours lost due to accidents
10	80
19.5	65
30	68
50	35
45	55
65	10
80	12

a) What are the explanatory and response variables?

b) Draw a scatterplot. (Be sure to clearly label axes and have a title)

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