Math Problem Statement
If the linear correlation coefficient between the explanatory variable (x) and response variable (y) is r = 0.35, the slope of the regression line is
negative
positive
not enough information to answer
Solution
The slope of the regression line has the same sign as the correlation coefficient . Since is a positive number, the slope of the regression line is positive.
Would you like further details on this topic or have any other questions?
Here are some related questions:
- What is the formula for calculating the slope of a regression line?
- How do we interpret the value of the correlation coefficient?
- Can a correlation coefficient of 0 imply a non-linear relationship?
- What is the significance of a positive or negative correlation?
- How is the coefficient of determination related to ?
Tip: The closer the correlation coefficient is to 1 or -1, the stronger the linear relationship between and .
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Math Problem Analysis
Mathematical Concepts
Statistics
Correlation
Linear Regression
Formulas
Slope of the regression line is b = r * (sy/sx)
Correlation coefficient (r) formula
Theorems
Linear regression model
Suitable Grade Level
Grades 10-12
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