Question
In: Statistics and Probability
The following table lists the birth weights (in pounds), x, and the lengths (in inches), y,...
The following table lists the birth weights (in pounds), x, and the lengths (in inches), y, f or a set of newborn babies at a local hospital.
Births Weights and Lengths Birth Weight (in pounds), x-- 5 3 8 6 9 7 7 6 6 10
Length (in inches), y -----------------------------------------16 15 18 19 19 18 20 17 15 21
Enter this information on your calculator and then answer the following:
a. What kind of linear relationship seems to exist between birth weights of newborn babies and their lengths?
b. Calculate the correlation coefficient, r?
c. Is r statistically significant at 0.05 level? Explain.
d. Determine the equation of the line of best fit.
e. Calculate and interpret the coefficient of determination, r^2 .
f. Predict the length of a 4-pound baby.
g. Using the equation of the least-square regression line, predict the birth weight of a baby whose length is 19.5 inches.
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orchestra answered 1 year agoRelated Solutions
The following table lists the birth weight (in pounds), x, and the lengths (in inches),y, for...
The following table lists the birth weight (in pounds), x, and
the lengths (in inches),y, for a set of newborn babies at a local
hospital.
Birth Weight (in pounds), x
5
3
8
6
9
7
7
6
6
10
Length(in inches),y
16
15
18
19
19
18
20
17
15
21
Enter this information on your calculator and then answer the
following:
(A) What kind of linear relationship seems to exist between
birth weights of newborn babies and their...
Here is a table of 15 individuals' heights and weights. Height (Inches) Weight (Pounds) 65.78 112.99...
Here is a table of 15 individuals' heights and weights.
Height (Inches)
Weight (Pounds)
65.78
112.99
71.52
136.49
69.4
153.03
68.22
142.34
67.79
144.3
68.7
123.3
69.8
141.49
70.01
136.46
67.9
112.37
66.78
120.67
66.49
127.45
67.62
114.14
68.3
125.61
67.12
122.46
68.28
116.09
A) Find the correlation coefficient. Round your answer to
two decimal places.
B) This is statistically significant, at 0.05, so we can use it
to make predications. Find the regression line if we want to
predict...
Here is a table of 15 individuals' heights and weights. Height (Inches) Weight (Pounds) 65.78 112.99...
Here is a table of 15 individuals' heights and weights.
Height (Inches)
Weight (Pounds)
65.78
112.99
71.52
136.49
69.4
153.03
68.22
142.34
67.79
144.3
68.7
123.3
69.8
141.49
70.01
136.46
67.9
112.37
66.78
120.67
66.49
127.45
67.62
114.14
68.3
125.61
67.12
122.46
68.28
116.09
A) Find the correlation coefficient. Round your answer to
two decimal places.
B) This is statistically significant, at 0.05, so we can use it
to make predications. Find the regression line if we want to
predict...
The table below gives the birth weights of five randomly selected mothers and the birth weights...
The table below gives the birth weights of five randomly
selected mothers and the birth weights of their babies. Using this
data, consider the equation of the regression line, yˆ=b0+b1x, for
predicting the birth weight of a baby based on the mother's birth
weight. Keep in mind, the correlation coefficient may or may not be
statistically significant for the data given. Remember, in
practice, it would not be appropriate to use the regression line to
make a prediction if the...
The table below gives the birth weights of five randomly selected mothers and the birth weights...
The table below gives the birth weights of five randomly
selected mothers and the birth weights of their babies. Using this
data, consider the equation of the regression line, yˆ=b0+b1x, for
predicting the birth weight of a baby based on the mother's birth
weight. Keep in mind, the correlation coefficient may or may not be
statistically significant for the data given. Remember, in
practice, it would not be appropriate to use the regression line to
make a prediction if the...
The table below gives the birth weights of five randomly selected mothers and the birth weights...
The table below gives the birth weights of five randomly
selected mothers and the birth weights of their babies. Using this
data, consider the equation of the regression line, yˆ=b0+b1x, for
predicting the birth weight of a baby based on the mother's birth
weight. Keep in mind, the correlation coefficient may or may not be
statistically significant for the data given. Remember, in
practice, it would not be appropriate to use the regression line to
make a prediction if the...
The following table shows the weights (in pounds) and the number of hours slept in a...
The following table shows the weights (in pounds) and the
number of hours slept in a day by a random sample of infants. Test
the claim that
Mnot equals≠0.
Use
alphaαequals=0.10.1.
Then interpret the results in the context of the problem. If
convenient, use technology to solve the problem.
Weight, x
8.28.2
10.110.1
9.99.9
7.17.1
6.96.9
11.111.1
10.910.9
15.115.1
Hours slept, y
14.814.8
14.714.7
14.114.1
14.214.2
13.913.9
13.213.2
13.813.8
12.412.4
1. Identify the null and alternative hypotheses.
2. Calculate the...
1-A regression analysis between weight (y in pounds) and height (x in inches) resulted in the...
1-A regression analysis between weight (y in pounds) and height
(x in inches) resulted in the following least squares line:
?̂=120+5? This implies that if the height is increased by 1 inch,
the weight is expected to:
A. increase by 5 pounds
B. increase by 24 pounds
C. increase by 1 pound
D. decrease by 1 pound
If the coefficient of correlation is -0.60, then the coefficient
of determination is:
A. 0.36
B. -0.36
C. -0.60
D. 0.40
2- For...
Listed below are the body lengths (in inches) and weights (in lb) of randomly selected bears:...
Listed below are the body lengths (in inches) and weights (in
lb) of randomly selected bears:
Length
40
64
65
49 47
Weight
65
356
316
94 86
Find the value of the linear correlation coefficient.
Letting y represent weights of bears and letting
x represent their lengths, find the regression
equation.
Based on the given sample data, what is the best predicted
weight of a bear with a length of 72.0 inch ?
Listed below are the body lengths (in inches) and weights (in lb) of randomly selected bears:...
Listed below are the body lengths (in
inches) and weights (in lb) of randomly selected bears:
Length
40
64
65
49 47
Weight
65
356
316
94 86
Find the value of the linear correlation coefficient.
Letting y represent weights of bears and letting
x represent their lengths, find the regression
equation.
Based on the given sample data, what is the best predicted
weight of a bear with a length of 72.0 inch?
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