Chapter 11: Q1E (page 649)
In each case, graph the line that passes through the given points.
a. (1, 1) and (5, 5) b. (0, 3) and (3, 0)
c. (-1, 1), and (4, 2) d. (-6, -3) and (2, 6)
Short Answer
Fig. 1 Straight line model
Chapter 11: Q1E (page 649)
In each case, graph the line that passes through the given points.
a. (1, 1) and (5, 5) b. (0, 3) and (3, 0)
c. (-1, 1), and (4, 2) d. (-6, -3) and (2, 6)
Fig. 1 Straight line model
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a. n = 20,,,
b. n = 40, , , ,
c. n = 10, ,,
Stability of compounds in new drugs. Testing the metabolic stability of compounds used in drugs is the cornerstone of new drug discovery. Two important values computed from the testing phase are the fraction of compound unbound to plasma (fup) and the fraction of compound unbound to microsomes (fumic). A key formula for assessing stability assumes that the fup/fumic ratio is 1. Pharmacologists at Pfizer Global Research and Development investigated this phenomenon and reported the results in ACS Medicinal Chemistry Letters (Vol. 1, 2010). The fup/fumic ratio was determined for each of 416 drugs in the Pfizer database. An SPSS graph describing the fup/fumic ratios is shown below.
a. What type of graph is displayed?
b. What is the quantitative variable summarized in the graph?
c. Determine the proportion of fup/fumic ratios that fall above 1.
d. Determine the proportion of fup/fumic ratios that fall below .4
Voltage sags and swells. The power quality of a transformer is measured by the quality of the voltage. Two causes of poor power quality are "sags" and "swells." A sag is an unusual dip and a swell is an unusual increase in the voltage level of a transformer. The power quality of transformers built in Turkey was investigated in Electrical Engineering (Vol. 95, 2013). For a sample of 103 transformers built for heavy industry, the mean number of sags per week was 353 and the mean number of swells per week was 184. Assume the standard deviation of the sag distribution is 30 sags per week and the standard deviation of the swell distribution is 25 swells per week.
a. For a sag distribution with any shape, what proportion of transformers will have between 263 and 443 sags per week? Which rule did you apply and why?
b. For a sag distribution that is mound-shaped and symmetric, what proportion of transformers will have between 263 and 443 sags per week? Which rule did you apply and why?
c. For a swell distribution with any shape, what proportion of transformers will have between 109 and 259 swells per week? Which rule did you apply and why?
d. For a swell distribution that is mound-shaped and symmetric, what proportion of transformers will have between 109 and 259 swells per week? Which rule did you apply and why?
If a straight-line probabilistic relationship relates the mean E(y) to an independent variable x, does it imply that every value of the variable y will always fall exactly on the line of means? Why or why not?
Do the accompanying data provide sufficient evidence that a straight line is useful for characterizing the relationship between x and y?
X | 4 | 2 | 4 | 3 | 2 | 4 |
Y | 1 | 6 | 5 | 3 | 2 | 4 |
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