a. If the pediatrician wants to use height to predict head circumference, determine which variable is the explanatory variable and which is response variable. b. Draw a scatter diagram of the data. c. Draw the best fit line on the scatter diagram.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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a. Make a list of all possible outcomes.
b. What is the probability that the sum of the two dice equal 4? State specifically what
outcomes show a sum of two dice equals 4.
c. What is the probability that the sum of the two dice is greater than 7? State specifically
what outcomes show a sum of two dice greater than 7.
d. What is the probability that the sum of the two dice less than 3? State specifically what
outcomes show a sum of two dice less than 3.
e. What is the probability that the sum of the two dice is divisible by 11? State specifically,
if any, what outcomes show a sum of two dice divisible by 11.
Part III- Linear Relationship
Scenario: A pediatrician wants to determine the relation that may exist between a child's height
and head circumference. She randomly selects eleven 3-year old children from her practice,
measures their heights and head circumference, and obtains the data shown below:
Child's Height and Head Circumference
Height (inches)
27.75
24.5
25.5
26
25
25.75
26.5
27
26.75
26.75
27.5
Head Circumference (inches)
17.6
17.3
17.4
17.5
17.1
17.8
17.5
17.7
17.5
17.8
17.7
a. If the pediatrician wants to use height to predict head circumference, determine which
variable is the explanatory variable and which is response variable.
b. Draw a scatter diagram of the data.
c. Draw the best fit line on the scatter diagram.
2
Transcribed Image Text:a. Make a list of all possible outcomes. b. What is the probability that the sum of the two dice equal 4? State specifically what outcomes show a sum of two dice equals 4. c. What is the probability that the sum of the two dice is greater than 7? State specifically what outcomes show a sum of two dice greater than 7. d. What is the probability that the sum of the two dice less than 3? State specifically what outcomes show a sum of two dice less than 3. e. What is the probability that the sum of the two dice is divisible by 11? State specifically, if any, what outcomes show a sum of two dice divisible by 11. Part III- Linear Relationship Scenario: A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects eleven 3-year old children from her practice, measures their heights and head circumference, and obtains the data shown below: Child's Height and Head Circumference Height (inches) 27.75 24.5 25.5 26 25 25.75 26.5 27 26.75 26.75 27.5 Head Circumference (inches) 17.6 17.3 17.4 17.5 17.1 17.8 17.5 17.7 17.5 17.8 17.7 a. If the pediatrician wants to use height to predict head circumference, determine which variable is the explanatory variable and which is response variable. b. Draw a scatter diagram of the data. c. Draw the best fit line on the scatter diagram. 2
d. Does this scatter diagram show a positive, negative, or no relationship between a child's
height and the head circumference?
3
Transcribed Image Text:d. Does this scatter diagram show a positive, negative, or no relationship between a child's height and the head circumference? 3
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