In: Statistics and Probability
Does knee height predict overall height? Since elderly people may have difficulty standing to have their heights measured, a study looked at predicting overall height (y) in centimeters, from height to the knee (x) in centimeters. Use this data to answer the following questions.
| 
 Data looking at knee height (in cm) and overall height (in cm)  | 
||||||
| 
 Knee Height (cm)  | 
 57.70  | 
 47.40  | 
 43.50  | 
 44.80  | 
 55.20  | 
 54.60  | 
| 
 Overall Height (cm)  | 
 192.10  | 
 153.30  | 
 146.40  | 
 162.70  | 
 169.10  | 
 177.80  | 
What is the mean x and standard deviation sxof x?
What is the mean y and standard deviation sy of y?
What is the correlation r of x and y? What does the correlation mean?
The least-squares regression line.
What is the value of the slope?
What is the value of the intercept?
What is the equation of the least-squares regression line?
What is the equation of the least-squares regression line?
What is the coefficient of determination r2AND what does it tell you about the least-squares regression line?
What is the predicted height for someone with a knee height of 46.30?
Someone with a knee height of 65 cm would be approximately 220 cm tall. Is this a good use of the least-squares regression line? Why or why not?