Question
In: Statistics and Probability
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 lengths?
(B) Calculate the correlation coefficient, r ?
(C) Determine the equation of the line of best fit.
(D) Calculate and interpret the coefficient of determination , r 2 .
(E) Make a scatter plot of data.
(F) Predict the length of an 4-pound baby.
Solutions
Expert Solution
| Birth weight (X) | Length (Y) | X * Y |
 |
 |
|
| 5 | 16 | 80 | 25 | 256 | |
| 3 | 15 | 45 | 9 | 225 | |
| 8 | 18 | 144 | 64 | 324 | |
| 6 | 19 | 114 | 36 | 361 | |
| 9 | 19 | 171 | 81 | 361 | |
| 7 | 18 | 126 | 49 | 324 | |
| 7 | 20 | 140 | 49 | 400 | |
| 6 | 17 | 102 | 36 | 289 | |
| 6 | 15 | 90 | 36 | 225 | |
| 10 | 21 | 210 | 100 | 441 | |
| Total | 67 | 178 | 1222 | 485 | 3206 |
There is positive and strong relationship between variables.
r = 0.798
Equation of regression line is 
b = 0.814
a =( 178 - ( 0.8144 * 67 ) ) / 10
a = 12.343
Equation of regression line becomes 
Coefficient of Determination
Explained variation = 0.637* 100 = 63.7%
Unexplained variation = 1 - 0.637* 100 = 36.3%
When X = 4
= 12.343 +
0.814 X
= 12.343 +
0.814 * 4
=
15.6
orchestra answered 2 years agoRelated Solutions
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...
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...
Consider the following data on x = weight (pounds) and y = price ($) for 10...
Consider the following data on x = weight (pounds) and
y = price ($) for 10 road-racing bikes.
Brand
Weight
Price ($)
A
17.8
2,100
B
16.1
6,250
C
14.9
8,370
D
15.9
6,200
E
17.2
4,000
F
13.1
8,500
G
16.2
6,000
H
17.1
2,580
I
17.6
3,500
J
14.1
8,000
These data provided the estimated regression equation
ŷ = 28,243 − 1,418x.
For these data, SSE = 7,368,713.71 and SST = 51,100,800. Use the
F test to determine...
The table gives the weight x (thousands of pounds) and available heat energy y (million BTU)...
The table gives the weight x (thousands of pounds) and available
heat energy y (million BTU) of a standard cord of various species
of wood typically used for heating. Perform a complete analysis of
the data, in analogy with the discussion in this section (that is,
make a scatter plot, do preliminary computations, find the least
squares regression line, find SSE, sε, and r, and so on). In the
hypothesis test use as the alternative hypothesis β1>0, and test
at...
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 following data was collected on the height (inches) and weight (pounds) of women swimmers. Height...
The following data was collected on the height (inches) and
weight (pounds) of women swimmers.
Height
Weight
68
132
64
108
62
102
65
115
66
128
Provide a regression analysis from the height and weight
data.
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.9603
R Square
0.9223
Adjusted R Square
0.8963
Standard Error
4.1231
Observations
5
ANOVA
df
SS
MS
F
Significance F
Regression
1
605
605
35.5882
0.0094
Residual
3
51
17
Total
4
656
Coefficients
Standard Error
t...
The data set is height in inches and weight in pounds of random patients at the...
The data set is height in inches and weight in pounds of random
patients at the Dr's office.
Predict the
weight of a patient that is 67 inches tall.
Is
it possible to predict using linear regression? Support your
answer
Linear regression was completed with the following results:
Equation:
Weight =
-281.847 + 6.335*Height
p-value =
0.00161
Height
Weight
68
148
69
126
66
145
70
158
66
140
68
126
64
120
66
119
70
182
62
127
68...
Language C++ Ask the user to enter their weight (in pounds) and their height in inches....
Language C++
Ask the user to enter their weight (in pounds) and their height
in inches. Calculate their Body Mass Index (BMI) and tell them
whether they are underweight, overweight, or at optimal weight.
BMI formula: weight * 703 / (height * height)
Optimal weight is a BMI from 19 to 26. Lower is underweight,
higher is overweight.
Prompts:
Enter your weight (in pounds): [possible user input: 144]
Enter your height (in inches): [posible user input: 73]
Possible Outputs:
Your...
The dataset RacingBicycles.xlsx lists the weight (in pounds) and price for a sample of racing bicycles with weight as a predictor of price.
The dataset RacingBicycles.xlsx lists the weight (in pounds) and price for a sample of racing bicycles with weight as a predictor of price. Using the approximation method discussed in class and represented by the formulas below,
Construct and interpret a 93% confidence interval for the mean price of racing bicycles that weigh 15.5 pounds.
Construct and interpret a 93% prediction interval for the price of a racing bicycle weighing 15.5 pounds.
Brand
Weight
Price
FELT F5
17.8
2100
PINARELLO...
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