1.) A medical study followed 12 pairs of subjects (Fatherand Son) until the sons
ID: 2917613 • Letter: 1
Question
1.) A medical study followed 12 pairs of subjects (Fatherand Son) until the sons were fully-grown, typically at age 20. Theresearcher claims there is a relationship between the height of theFather (in inches) and that of the full-grown son. Does the datashow that and, regardless of the result, is the data reliable atthe 5% level of significance? (Hint: to answer the'reliability' issue a hypothesis test will be needed.)
Father- 65, 63, 67, 64, 68, 62,70, 66, 68, 67, 69, 71
Son- 68, 66, 68, 65, 69, 66, 68, 65, 71, 67, 68, 70
A.) Strong relationship; reliable data
B.) Weak relationship; unreliable data
C.) Strong relationship; unreliable data
D.) Weak relationship; reliable data
2.) Medical researchers examined the health of certain minoritywomen and compiled the data in the table below, which shows age (inyears) and systolic blood pressure (in inches Hg). Are thevariables correlated? Does the data show that and, regardless ofthe result, is the data reliable at the 1% level ofsignificance?
Age- 56, 42, 72, 36, 63, 47, 55, 49, 38, 42, 68, 60
Blood Pressure- 147, 125, 160, 118, 149, 128, 150, 145, 115,140, 152, 155
A.) Strong relationship; reliable data
B.) Weak relationship; unreliable data
C.) Strong relationship; unreliable data
D.) Weak relationship; reliable data
3.) Post-graduate research students contendthat a 4th grade student's score on his first science quiz willinfluence the outcome of the next science quiz that he takes. Doesthe data show that and, regardless of the result, is the datareliable at the 5% level of significance
Quiz 1- 6, 5, 8, 8, 7, 6, 10, 4, 9, 7
Quiz 2- 8, 7, 7, 10, 5, 8, 10, 6, 8, 6
A.) Strong relationship; reliable data
B.) Weak relationship; unreliable data
C.) Strong relationship; unreliable data
D.) Weak relationship; reliable data
4.) Find the linear regression equation forthe data below. The regression equation will be of the form y = ax+ b, where "a" is the slope of the line and "b" is the intercept.Is your regression equation believable at the 5% significancelevel? (Hint: to answer the 'believability issue'a hypothesis test is needed.)
Height- 70, 63, 72, 60, 66, 70, 74, 65, 62, 67, 65, 68
Weight- 155, 150, 180, 135, 156, 168, 178, 160, 132, 145, 139,152
A.) y = 3.22x + 60.7; questionable equation
B.) y = -60.7x - 3.22; believable equation
C.) y = -60.7x + 3.22; questionable equation
D.) y = 3.22x - 60.7; believable equation
5.) In a recent 10-year period the sales ofsmall cigars has evolved according to the table below. Find theregression equation that fits the data. Is your regression equationbelievable at the 5% significance level?
Year- 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Cigars- 98.2, 92.3, 90.0, 89.1, 83.5, 68.9, 69.2, 67.1, 58.3,62.2
A.) y = 96.1x - 4.30; questionable equation
B.) y = 96.1 - 4.30x; believable equation
C.) y = -60.7x + 3.22; questionable equation
D.) y = 96.1x - 4.30; believable equation
6.) The Admissions Department from aprestigious University is using the data below (which was randomlychosen from a large pool of recent graduates of that University) toentice prospective students to enroll. Using linear regressionanalysis, what does your regression equation "predict" the startingsalary (in units of $1000) to be for a good student with an overallGPA of 2.50?
GPA- 3.50, 2.20, 2.95, 2.01, 3.95, 3.20, 3.00, 1.75
Salary- 80, 41, 52, 45, 95, 77, 62, 31
A.) $48.7
B.) $51.5
C.) $46.2
Explanation / Answer
The Correct Answers are........1.) Weak relationship;reliable data 2.) Strong relationship; reliable data 3.) Weak relationship; unreliable data 4.) y=3.22x - 60.7;Believeable equation 5.) y=96.1 - 4.30x; believeable equation 6.) 51.5
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