A statistician collects data on a sample of eight cows and verifies all of the r
ID: 3337426 • Letter: A
Question
A statistician collects data on a sample of eight cows and verifies all of the requisite conditions for creating a least-squares regression equation for predicting the weekly milk production (in gallons) of a cow from its age (in years) for a sample of eight cows. She then computes the value of Pearson’s Correlation Coefficient and the best-fitting line’s equation; with values rounded and reported to the nearest thousandth, these are r -0.939 and Milk Production -0.911Age + 39.565, respectively.
(a) What is the value of the regression line’s slope AND specify the units in which this slope is measured? Write a sentence interpreting the meaning of the line’s slope as it relates to a cow’s age and its weekly milk production.
(b) Determine the value of R2 AND write a complete English sentence explaining what this value means in the context of this specific problem.
Explanation / Answer
Given
r -0.939
and least square line is
Milk Production -0.911Age + 39.565
(a) What is the value of the regression line’s slope AND specify the units in which this slope is measured? Write a sentence interpreting the meaning of the line’s slope as it relates to a cow’s age and its weekly milk production.
>> Using least square line Milk Production -0.911Age + 39.565
Slope = -0.911
Mesured unit = Years and gallons .
Interpritaion - If Age increses one Year then milk production will decreses milk production in 0.911 gallons .
(b) Determine the value of R2 AND write a complete English sentence explaining what this value means in the context of this specific problem.
>> Using r -0.939 we compute R2
R2 = ( -0.939)2 =0.8817
Interpriation - The value of R2 is used for model is chaking good or bad so here R2 is 0.8817 is vey closed to 1 so model is fitted very well .
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.