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.
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Data looking at knee height (in cm) and overall height (in cm) |
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|
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?