Question
In: Statistics and Probability
An individual wanted to determine the relation that might exist between speed and miles per gallon...
An individual wanted to determine the relation that might exist between speed and miles per gallon of an automobile. Let X be the average speed of a car on the highway measured in miles per hour and let Y represent the miles per gallon of the automobile. The following data is collected: X 40 45 45 50 50 52 55 55 Y 28 26 25 22 20 20 17 15
a. In the space below, draw a scatterplot of the bivariate data set.
b. What is the value for r? Interpret this value, would you say that the correlation is positive or negative? Strong or Weak? How do you know?
c. From the regression equation given above, what value is the slope of the line? Interpret this slope, what does it tell us about the relationship between average speed and miles per gallon?
d. Predict the miles per gallon of a car traveling 61 miles per hour. e. Predict the average speed of a car whose fuel mileage is 25 miles per gallon. f. Find r squared. What does this statistic tell us about between average speed and miles per gallon?
Solutions
orchestra answered 1 year agoRelated Solutions
An individual wanted to determine the relation that might exist between speed and miles per gallon...
An individual wanted to determine the relation that might exist
between speed and miles per gallon of an automobile. Let X be the
average speed of a car on the highway measured in miles per hour
and let Y represent the miles per gallon of the automobile. The
following data is collected:
X
50
55
55
60
60
62
65
65
Y
28
26
25
22
20
20
17
15
• In the space below, use technology to
construct...
Miles per Gallon. The following stem-leaf plot is representing the number of miles per gallon achieved...
Miles per Gallon. The following
stem-leaf plot is representing the number of miles per gallon
achieved on the highway for 2013 small car models. Construct an
Ogive of data by first construction a cumulative
frequency table with class width of five.
Include: Limits, frequency, and cumulative
frequency.
2
2 means 22 miles per
gallon
2
2
2
5 7 9 9 9 9 9
3
0 0 0 0 0 1 1 1 2 2 2 2 2 3 3...
A doctor wanted to determine whether there is a relation between a male's age and his...
A doctor wanted to determine whether there is a relation between
a male's age and his HDL (so-called good) cholesterol. The doctor
randomly selected 17 of his patients and determined their HDL
cholesterol. The data obtained by the doctor is the in the data
table below. Complete parts (a) through (f) below.
Age, x
HDL Cholesterol, y
Age, x
HDL Cholesterol, y
38
56
39
46
44
56
65
64
45
32
28
52
33
57
53
37
53
37...
A doctor wanted to determine whether there is a relation between a male's age and his...
A doctor wanted to determine whether there is a relation between
a male's age and his HDL (so-called good) cholesterol. The doctor
randomly selected 17 of his patients and determined their HDL
cholesterol. The data obtained by the doctor is the in the data
table below.
Age_-_x HDL Cholesterol_-_y
36 58
44 56
46 33
30 55
57 36
52 42
62 42
60 39
25 48
38 44
68 60
28 52
52 34
27 47
53 39
47 ...
A doctor wanted to determine whether there is a relation between a male's age and his...
A doctor wanted to determine whether there is a relation between
a male's age and his HDL (so-called good) cholesterol. The doctor
randomly selected 17 of his patients and determined their HDL
cholesterol. The data obtained by the doctor is the in the data
table below. Complete parts (a) through (f) below.
Data:
Age, x, HDL Cholesterol, y
36 56
41 55
47 32
30 56
54 37
51 40
59 40
61 39
25 47
36 43
65 61
29 ...
A doctor wanted to determine whether there is a relation between a male’s age and his...
A doctor wanted to determine whether there is a relation between
a male’s age and his HDL (so-called good cholesterol). He randomly
selected 9 of his patients and determined their HDL cholesterol.
The data is reported in the table below: Age (Yrs) HDL (LaTeX: \mu
μ mol/L)
38 57
42 54
46 34
32 56
55 35
52 40
61 42
61 38
26 47
a) Compute the regression equation for HDL as a function of
age.
b)Interpret the meaning...
A doctor wanted to determine whether there is a relation between a male's age and his...
A doctor wanted to determine whether there is a relation between
a male's age and his HDL (so-called good) cholesterol. The doctor
randomly selected 17 of his patients and determined their HDL
cholesterol. The data obtained by the doctor are in the
accompanying data table. Complete parts (a) through (f)
below.
1. Click the icon to view the data obtained by the doctor.
2. Click the icon to view the Student's t-distribution
table.
(a) Draw a scatter diagram of the...
A doctor wanted to determine whether there is a relation between a male's age and his...
A doctor wanted to determine whether there is a relation between
a male's age and his HDL (so-called good) cholesterol. The doctor
randomly selected 17 of his patients and determined their HDL
cholesterol. The data obtained by the doctor is the in the data
table below.
Company Compensation Return
A 14.98 74.48
B 4.61 63.62
C 6.15 148.21
D 1.11 30.35
E 1.54 11.94
F 3.28 29.09
G 11.06 0.64
H 7.77 64.16
I 8.23 50.41
J 4.47 53.19
K ...
A pediatrician wants to determine the relation that may exist between a? child's height and head...
A pediatrician wants to determine the relation that may exist
between a? child's height and head circumference. She randomly
selects 8 children from her? practice, measures their height and
head? circumference, and obtains the data shown in the table.
Complete parts? (a) through? (e) to the right. Height? (in.) Head
Circumference? (in.) 27 17.4 25.5 17.2 26 17.2 25.75 17 27.75 17.5
26.5 17.2 26.25 17.2 26.75 17.4 LOADING... Click here to see the
Table of Critical Values for Correlation...
A pediatrician wants to determine the relation that may exist between a child's height and head...
A pediatrician wants to determine the relation that may exist
between a child's height and head circumference. She randomly
selects 5 children and measures their height and head
circumference. The data are summarized below. Complete parts (a)
through (f) below. Height (inches), x 27.75 26.75 27 25 27.5 Head
Circumference (inches), y 17.6 17.3 17.5 16.9 17.5 (a) Treating
height as the explanatory variable, x, use technology to determine
the estimates of beta 0 and beta 1. beta 0almost equalsb...
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