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In: Statistics and Probability

1. A simple linear regression model is an equation that describes the straight-line relationship between a...

1. A simple linear regression model is an equation that describes the straight-line relationship between a dependent variable and an independent variable. T or F

2. The residual is the difference between the observed value of the dependent variable and the predicted value of the dependent variable. T or F

3. The experimental region is the range of the previously observed values of the dependent variable. T or F

Solutions

Expert Solution

1. A simple linear regression model is an equation that describes the straight-line relationship between a dependent variable and an independent variable.

Answer: True

Explanation: We know that we use least square techniques in simple linear regression model which is based on the straight line passing through the optimized points of least squares. Simple linear regression model is based on the linear relationship between dependent and independent variable.

2. The residual is the difference between the observed value of the dependent variable and the predicted value of the dependent variable.

Answer: True

Explanation: We know that the residual is defined as the difference between observed value of the dependent value at particular value of independent variable and the predicted value of the dependent variable for this particular value of independent variable.

3. The experimental region is the range of the previously observed values of the dependent variable.

Answer: False

Explanation: We know that the experimental region is the range of the previously observed values of the independent variable.

orchestra answered 2 years ago
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