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2 weeks ago
Wingspan A person's wingspan is the distance from fingertip to fingertip when their arms are fully extended. The longer a person's wingspan, the taller they tend to be. Regression analysis was executed on 24 individuals to see if height in inches can be used to predict wingspan (also in inches). The conditions for inference were deemed to be reasonably satisfied.

Dependent Variable: Wingspan
Sample size: 24
R-sq = 0.8026696
s: 2.1512606

a. Write the equation of the regression line. Make sure to define all the variables in your equation.
b. Interpret the slope of the regression equation in context.
c. Interpret the value of s in context.
d. Find and interpret a 95% confidence interval for slope.
e. Is the relationship between wingspan and height a strong relationship? Why? Give two reasons to justify your answer.
Textbook 

Stats: Modeling the World


Edition: 4th
Authors:
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Posts: 230
2 weeks ago
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a. = -13.0245 +1.191(Height)
9b. For every 1 inch taller someone is, we predict his wingspan will be 1.2 inches longer.
9c. The average error in the predictions of the regression equation is about 2.15 inches.
9d. 1.19 ± 2.074 ∙ 0.126; We are 95% confident that the slope of the regression equation is between 1.45 wingspan/ht. and 0.93 wingspan/ht.
9e. Yes. r and R^2 are high. The confidence interval on (d) does not contain zero. The p-value for slope is very, very small.
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