Question
In: Statistics and Probability
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 Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |
| Intercept | -240.50 | 59.9554 | -4.0113 | 0.0278 | -431.3048 | -49.6952 | -431.3048 | -49.6952 |
| Height | 5.50 | 0.9220 | 5.9656 | 0.0094 | 2.5659 | 8.4341 | 2.5659 | 8.4341 |
If the height of a swimmer is 63 inches, the expected weight in
pounds will be?
Explain (in one word) why you can make the relationship of the 63 inches to weight as a prediction.
If the height of a swimmer is 70 inches, the expected weight in pounds will be?
Explain (in one word) why you can make the relationship of the 70 inches to weight as a prediction.
Solutions
orchestra answered 2 years agoRelated Solutions
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...
There are two variables in this data set. Variable Definition Height Height in inches Weight Weight...
There are two variables in this data set.
Variable Definition
Height Height in inches
Weight Weight in pounds
Using Excel, compute the standard deviation and variance (both
biased and unbiased) for height and weight.
Height
weight
53
156
46
131
54
123
44
142
56
156
76
171
87
143
65
135
45
138
44
114
57
154
68
166
65
153
66
140
54
143
66
156
51
173
58
143
49
161
48
131
Student What is your height in inches? What is your weight in pounds? What is your...
Student
What is your height in inches?
What is your weight
in pounds?
What is your
cumulative Grade Point Average (GPA) at FTCC or your primary
college?
How many hours do you
sleep each night?
1
67
100
4
7
2
62
105
4
5
3
72
120
4
8
4
61
125
4
7
5
56
105
3.7
6
6
61
120
4
7
7
65
172
3.8
7
8
72
235
3.22
5
9
63
135
4
6...
Student What is your height in inches? What is your weight in pounds? What is your...
Student
What is your height in inches?
What is your weight
in pounds?
What is your
cumulative Grade Point Average (GPA) at FTCC or your primary
college?
How many hours do you
sleep each night?
1
67
100
4
7
2
62
105
4
5
3
72
120
4
8
4
61
125
4
7
5
56
105
3.7
6
6
61
120
4
7
7
65
172
3.8
7
8
72
235
3.22
5
9
63
135
4
6...
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...
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...
Using the data we collected in class about weight and height, find the following:
Using the data we collected in class about weight and height, find the following:
weight = c(130, 220, 180, 170, 135, 120, 200, 208, 210, 180, 110)height = c(5,6,6.2,7.8,5.5,5.3,5.5,6.2,5.8,6.8,4.9)
a. Using height as the dependent variable and weight as the independent test if height is positively correlated with weight. What is the null hypothesis and the alternative hypothesis?
b. Provide the p-value.c. Conclude this analysis, is this test statistically significant, justify your answer?d. Provide your R coding
Data for 64 female college athletes was collected. The data on weight (in pounds) are roughly...
Data for 64 female college athletes was collected. The data on
weight (in pounds) are roughly bell shaped with x overbar equals
132x=132 and s equals 13s=13. Complete parts a and b below.
a. Give an interval within which about 68% of the weights
fall.
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