Does knee height predict overall height? Sinceelderly people may have difficulty standing to have their heightsmeasured, a study looked at predicting overall height (y) incentimeters, from height to the knee (x) in centimeters. Use thisdata 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 deviationsxof x?
What is the mean y and standard deviationsy of y?
What is the correlation r of x and y? What does thecorrelation mean?
The least-squares regression line.
What is the value of theslope?
What is the value of theintercept?
What is the equation of theleast-squares regression line?
What is the equation of theleast-squares regression line?
What is the coefficient ofdetermination r2AND what does it tellyou about the least-squares regression line?
What is the predicted height forsomeone with a knee height of 46.30?
Someone with a knee height of 65cm would be approximately 220 cm tall. Is this a good use of theleast-squares regression line? Why or why not?
