List and interpret from the least squares line: 0 = ______ Interpretation: _____
ID: 3352799 • Letter: L
Question
List and interpret from the least squares line:
0 = ______ Interpretation: ____________________________________________
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1 = ______ Interpretation: ____________________________________________
___________________________________________________________________
S = ______ Interpretation: ____________________________________________
___________________________________________________________________
P-value for 1: ______ Interpretation: ____________________________________
___________________________________________________________________
Explanation / Answer
Looking at the output, it can be inferred that Pectin is the independent variable and a regression analysis is performed based on that. Let Y be the dependent variable. We have-
Y= B0+B1*Pectin
Where B0 is the intercept and is given by,
B0= 6.252
It means that when Pectin=0, the value of the dependent variable will be 6.252
B1 is the coefficient of Pectin and is given by,
B1= -0.0023
It means that Y is dependent on Pectin level and it is inversely proportional and the correlation is given by the ectent of -0.0023
P-Value for B1 is given by Pr(>|t|) which is 0.0181
It means that the probability that the value of the coefficient will be greater than the critical value
Residual Standard Error, S= 0.215
We can use the standard error of the regression to assess the precision of the predictions.
Approximately 95% of the observations should fall within plus/minus 2*standard error of the regression from the regression line
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