Select all statements that are true about a linear relationship between a response variable and an explanatory variable .


The value of represents the slope of the least-squares regression line.


The relationship can be expressed mathematically in the form =+ where and are constants.


The residual plot based upon the least-squares regression line shows a U-shaped leftover pattern.


The scatter plot looks like a straight line.


The -intercept is the value of when =0 .

Answer :

Answer:

C

Explanation:

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The linear relationship between two variables exhibits all the characteristics expect the description of the residual given in the option.

Recall :

y = a + bx

Where ;

y = response variable ; x = explanatory variable

a = intercept ; b = slope

Evaluating the options given:

  • Linear relationships can be expressed in the form y = a + bx
  • The value of y when x = 0 gives the intercept value of the relationship.
  • b represents the slope
  • Linear relationship yield a straight points plot on a graph
  • The residual is usually random and not U - shaped. (Not true)

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