Simple linear regression results:

Dependent Variable: bmi

Independent Variable: Weight

bmi = 4.7047209 + 0.14140324 Weight

Sample size: 968

R (correlation coefficient) = 0.90000605

R-sq = 0.8100109

Estimate of error standard deviation: 3.2026374

Parameter estimates:

Parameter

Estimate

Std. Err.

Alternative

DF

T-Stat

P-value

Intercept

4.7047209

0.39508748

0

966

11.908048

<0.0001

Slope

0.14140324

0.0022033815

0

966

64.175557

<0.0001

Analysis of variance table for regression model:

Source

DF

SS

MS

F-stat

P-value

Model

1

42243.009

42243.009

4118.5022

<0.0001

Error

966

9908.1524

10.256887

Total

967

52151.162

a.Write a paragraph describing/interpreting the results of your comprehensive correlation analyses, specifically r, r² and the statistical significance of r.Use a = 0.05. Your explanation should use the technical language in the course, but it should also show that you understand these terms.It should also include a non-statistical statement (plain English) as to what the results mean. [5 points]

ANS: