Applying What You’ve Learned Use the following table of student information to determine whether the statements in Exercises 35 − 40 are true or false. If a statement is false, explain why it is false using rules of quantifiers that we have developed. For example, the statement “All sophomores are on scholarship” is false because “There exists a sophomore (Stephen) who is not on scholarship.” Name Year Scholarship Athlete Commuter Lennox Freshman Yes Yes No Marilu Freshman No No Yes Stephen Sophomore No Yes Yes Omarosa Junior Yes No No Tito Sophomore Yes Yes Yes Nadia Sophomore Yes Yes No Piers Junior Yes No Yes All freshmen are athletes.
Applying What You’ve Learned Use the following table of student information to determine whether the statements in Exercises 35 − 40 are true or false. If a statement is false, explain why it is false using rules of quantifiers that we have developed. For example, the statement “All sophomores are on scholarship” is false because “There exists a sophomore (Stephen) who is not on scholarship.” Name Year Scholarship Athlete Commuter Lennox Freshman Yes Yes No Marilu Freshman No No Yes Stephen Sophomore No Yes Yes Omarosa Junior Yes No No Tito Sophomore Yes Yes Yes Nadia Sophomore Yes Yes No Piers Junior Yes No Yes All freshmen are athletes.
Solution Summary: The author explains that the statement "All freshmen are athletes" is false because there exists a freshman (Marilu) who is not an athlete.
Use the following table of student information to determine whether the statements in Exercises
35
−
40
are true or false. If a statement is false, explain why it is false using rules of quantifiers that we have developed. For example, the statement “All sophomores are on scholarship” is false because “There exists a sophomore (Stephen) who is not on scholarship.”
The table below indicates the number of years of experience of a sample of employees who work on a particular production line and the corresponding number of units of a good that each employee produced last month.
Years of Experience (x)
Number of Goods (y)
11
63
5
57
1
48
4
54
5
45
3
51
Q.1.1 By completing the table below and then applying the relevant formulae, determine the line of best fit for this bivariate data set.
Do NOT change the units for the variables.
X
y
X2
xy
Ex=
Ey=
EX2
EXY=
Q.1.2 Estimate the number of units of the good that would have been produced last month by an employee with 8 years of experience.
Q.1.3 Using your calculator, determine the coefficient of correlation for the data set.
Interpret your answer.
Q.1.4 Compute the coefficient of determination for the data set.
Interpret your answer.
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