Answer to Question #179971 in Statistics and Probability for Vincent D'Epiro

Question

Given Data

dependent variable: Wingspan

sample size: 24

R-sq= 0.8026696

s: 2.1512606

coefficient estimate Std. Err T-Stat P-Value

constant -13.024544 8.5719795 -1.5194324 .1429

height 1.1909246 .125893 9.459816 <.0001

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 wingspan and height a strong relationship? why? give two reasons to justify your answer

Answer 1

Paramter statistics are-

The predicted values of height and wingspan is-

(a)Dependent Variable: Wingspan

Independent Variable: Height

Wingspan = -13.024544 + 1.1909246 Height

(b) Slope of the regression line = 1.1909246

(c) The value of s represent the estimate of error standard deviation. her the value of s=2.151206

(d)  95% confidence interval for slope=1.159

(e) Relationship between wingspan and height is given by the following relationships-