Assignment:
A For the supermodel dataset at the right, treat height as the explanatory variable and weight as the response variable.
| Supermodels |
| height (in) |
weight (lb) |
| 71 |
125 |
| 70.5 |
119 |
| 71 |
128 |
| 72 |
128 |
| 70 |
119 |
| 70 |
127 |
| 66.5 |
105 |
| 70 |
123 |
| 71 |
115 |
|
|
1 Is there a significant correlation? Show the null hypothesis, df and the test you used.
yes/no
null hypothesis
df
test
2 If the correlation is significant:
a slope
intercept
line equation
b What proportion of the variation in y is explained by variation in x?
c What is the appropriate hypothesis to test the slope?
d What is the confidence interval for the slope?
e What can you conclude about the slope?
f What is the predicted value (yhat) when x=69?
B For the female dataset at the right, treat weight (WT) as the explanatory variable and body mass index (BMI) as the response variable.
1 Is there a significant correlation? Show the null hypothesis, df and the test you used.
yes/no
null hypothesis
df
test
2 If the correlation is significant:
a slope
intercept
line equation
b What proportion of the variation in y is explained by variation in x?
c What is the appropriate hypothesis to test the slope?
d What is the confidence interval for the slope?
e What can you conclude about the slope?
f What is the predicted value (yhat) when x=120?
g What is the confidence interval for a mean response of y when x=120?
C For the male dataset at the right, treat weight (WT) as the explanatory variable and body mass index (BMI) as the response variable.
1 Is there a significant correlation? Show the null hypothesis, df and the test you used.
yes/no
null hypothesis
df
test
2 If the correlation is significant:
a slope
intercept
line equation
b What proportion of the variation in y is explained by variation in x?
c What is the appropriate hypothesis to test the slope?
d What is the confidence interval for the slope?
e What can you conclude about the slope?
f What is the predicted value (yhat) when x=180?
g What is the prediction interval for an individual y value when x=180?
D For the male dataset at the right, treat weight (WT) as the explanatory variable and cholesterol (CHOL) as the response variable.
1 Is there a significant correlation? Show the null hypothesis, df and the test you used.
yes/no
null hypothesis
df
test
2 If the correlation is significant:
a slope
intercept
line equation
b What proportion of the variation in y is explained by variation in x?
c What is the appropriate hypothesis to test the slope?
d What is the confidence interval for the slope?
e What can you conclude about the slope?
f What is the predicted value (yhat) when x=200?
g What is the confidence interval for a mean response of y when x=200?