Select the statements that would allow you to conclude that the relationship between a response variable \( y \) and an explanatory variable \( x \) is linear. The rate at which \( y \) is changing with respect to \( x \) is the same no matter what the value of \( x \) is. The \( y \)-intercept is the value of \( y \) when \( x=0 \). The mathematical equation that describes the relationship between \( x \) and \( y \) is independent of the units used to measure \( x \) and \( y \). The relationship can be expressed mathematically in the form \( y=a+b x \) or \( y=a x+b \) where \( a \) and \( b \) are constants. The scatter plot looks like a straight line.
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A linear relationship between two variables \( x \) and \( y \) can be described by the equation \( y = a + bx \) or \( y = ax + b \), where \( a \) and \( b \) are constants. This implies that the rate of change of \( y \) with respect to \( x \) is constant. Show more…
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