Question
In: Statistics and Probability
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. Find the estimated y-intercept. Round your answer to three decimal places.
Answer: ____________________
Step 3. Substitute the values you found in steps 1 and 2 into the equation for the regression line to find the estimated linear model. According to this model, if the value of the independent variable is increased by one unit, then find the change in the dependent variable y.
Answer: ____________________
Step 4. Determine the value of the dependent variable y at x = 0.
A) b0
B) b1
Step 5. Predict the bone density for a woman aged 69.
Answer: ____________________
Solutions
orchestra answered 1 year agoRelated Solutions
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 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 ...
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
3939
4747...
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 43 49...
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
38
40...
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