1) Suppose we use simple linear regression to analyze the relationship between a
ID: 3365961 • Letter: 1
Question
1) Suppose we use simple linear regression to analyze the relationship between a response variable Y and an explanatory variable X. If we reject H0: = 0 in favor of HA: 0, what can we conclude?
a) A linear relationship between X and Y is the best model.
b) The observed linear relationship is provides a better fit than a horizontal line.
c) Both (a) and (b).
d) Neither (a) nor (b).
2) Which of the following measures the magnitude of the linear association between X and Y:
a) The Pearson correlation coefficient .
b) The slope 1 of the regression line Y = 0 + 1X.
c) Both (a) and (b).
d) Neither (a) nor (b).
Please answer both questions, thanks!
Explanation / Answer
Ans:
1)
As,we reject H0: = 0 in favor of HA: 0,it means that there exist linear relationship bwteen two variables.
So,Option b is correct.
The observed linear relationship is provides a better fit than a horizontal line.
2)Option a is correct
The Pearson correlation coefficient .
(measures the strength and direction of association of linear relationship between two variables.)
In order to measure the strength of a linear relationship between two quantitative variables we use correlation. Correlation is the measure of the strength of a linear relationship.
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