Question

A least squares regression line: a. may be used to predict a value of y if the corresponding x value is given b. implies a cause-effect relationship between x and y c. can only be determined if a good linear relationship exists between x and y d. None of these alternatives is correct.

Answer 1

Answer:

a) May be used to predict a value of y if the corresponding x value is given

Step-by-step explanation:

In regression analysis, the vertical distance from the regression line to the data points can be minimized using the least square regression line.

Given the example of a least square regression equation:

y = ax + b

Where

a = slope

b = Y-intercept

If the value of x is known, the value of y may be predicted.

Option A is correct.

A least squares regression line may be used to predict a value of y if the corresponding x value is given

Answer 2

The least square regression line implies a mathematical equation which models the relationship between the dependent and independent variables. Hence, it may be used to predict a value of y if the corresponding x value is given.

• The least square regression line also called the best fit line, gives a mathematical relationship between variables in slope - intercept form.

• The predicted value of y or x if the corresponding value of either variable is given.

Hence, the most appropriate option is "

may be used to predict a value of y if the corresponding x value is given."

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