Question
In: Statistics and Probability
A study of bone density on 5 random women at a hospital produced the following results....
A study of bone density on 5 random women at a hospital produced the following results.
| Age | 33 | 41 | 57 | 61 | 65 |
|---|---|---|---|---|---|
| Bone Density | 355 | 345 | 340 | 320 | 315 |
Step 2 of 3:
Estimate the correlation in words: positive, negative, no correlation.
Step 3 of 3:
Calculate the correlation coefficient, r. Round your answer to three decimal places.
Solutions
Expert Solution
Solution :
| X | Y | XY | X^2 | Y^2 |
| 33 | 355 | 11715 | 1089 | 126025 |
| 41 | 345 | 14145 | 1681 | 119025 |
| 57 | 340 | 19380 | 3249 | 115600 |
| 61 | 320 | 19520 | 3721 | 102400 |
| 65 | 315 | 20475 | 4225 | 99225 |
| n | 5 |
| sum(XY) | 85235.00 |
| sum(X) | 257.00 |
| sum(Y) | 1675.00 |
| sum(X^2) | 13965.00 |
| sum(Y^2) | 562275.00 |
| Numerator | -4300.00 |
| Denominator | 4659.61 |
| r | -0.9228 |
| r square | 0.8516 |
| Xbar(mean) | 51.4000 |
| Ybar(mean) | 335.0000 |
| SD(X) | 12.2898 |
| SD(Y) | 15.1658 |
| b | -1.1388 |
| a | 393.5328 |
Step 2 :
negative
Step 3 :
the correlation coefficient, r = -0.923
orchestra answered 3 years agoRelated Solutions
A study of bone density on 5 random women at a hospital produced the following results....
A study of bone density on 5 random women at a hospital produced
the following results.
Age
33
37
41
53
57
Bone Density
360
355
340
32
310
a) Calculate the coefficient of determination, r2.
Round to 3 decimals.
b) Determine if r is statistically significant at the 0.05
level.
c) Calculate the correlation coefficient, r. Round to 3
decimals.
A study of bone density on 5 random women at a hospital produced the following results....
A study of bone density on 5 random women at a hospital produced
the following results. Age 41 53 57 61 69 Bone Density 360 355 350
345 315 Step 1 of 3 : Calculate the correlation coefficient, r.
Round your answer to six decimal places.
The table below gives the age and bone density for five randomly selected women. Using this...
The table below gives the age and bone density for five randomly
selected women. Using this data, consider the equation of the
regression line, yˆ=b0+b1x, for predicting a
woman's bone density based on her age. 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
correlation coefficient is not statistically significant.
Age
36
51...
The table below gives the age and bone density for five randomly selected women. Using this...
The table below gives the age and bone density for five randomly
selected women. Using this data, consider the equation of the
regression line, yˆ=b0+b1x, for predicting a woman's bone density
based on her age. 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 correlation coefficient is not
statistically significant. Age 36 40...
The table below gives the age and bone density for five randomly selected women. Using this...
The table below gives the age and bone density for five randomly
selected women. Using this data, consider the equation of the
regression line, yˆ=b0+b1x, for predicting a woman's bone density
based on her age. 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 correlation coefficient is not
statistically significant. Age 39 59...
The table below gives the age and bone density for five randomly selected women. Using this...
The table below gives the age and bone density for five randomly
selected women. Using this data, consider the equation of the
regression line, yˆ=b0+b1x, for predicting a woman's bone density
based on her age. 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 correlation coefficient is not
statistically significant. Age 35 41...
The table below gives the age and bone density for five randomly selected women. Using this...
The table below gives the age and bone density for five randomly
selected women. Using this data, consider the equation of the
regression line, yˆ=b0+b1xy^=b0+b1x , for predicting a woman's bone
density based on her age. 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 correlation coefficient
is not statistically significant.
AGE 29...
The table below gives the age and bone density for 12 randomly selected women. Using this...
The table below gives the age and bone density for 12 randomly
selected women. Using this data, consider the equation of the
regression line, y = b0 +
b1x, for predicting a woman's bone density
based on her age.
Age
35
33
65
68
70
55
66
Bone Density
340
345
320
313
316
320
317
Step
1. Find the estimated slope. Round your answer to
three decimal places. What does this value mean?
Answer: ____________________
Step
2....
The table below gives the age and bone density for five randomly selected women. Using this...
The table below gives the age and bone density for five randomly
selected women. Using this data, consider the equation of the
regression line,y^=b0+b1x, for predicting a woman's bone density
based on her age. 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 correlation coefficient is not
statistically significant.
Age Bone Density
38 ...
The table below gives the age and bone density for five randomly selected women. Using this...
The table below gives the age and bone density for five randomly
selected women. Using this data, consider the equation of the
regression liney^=b0+b1x, for predicting a woman's bone density
based on her age. 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 correlation coefficient is not
statistically significant.
Age Bone Density
36 ...
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