Question

In: Statistics and Probability

Extrapolation with linear models beyond the given data is highly accurate. TRUE or FALSE? a. True...

Extrapolation with linear models beyond the given data is highly accurate. TRUE or FALSE?

a. True

b. False

Linear regression models may not always acccurately reflect the pattern of data from which they are made

a. True

b. False

The "Portion of Variability" is also known as the

a. Correlation coefficient

b. Regression line

c. Fitted Value

d. Coefficient of determination

Investigating the difference between the predicted value of y and the actual value y

a. Least Squares Regression

b. Proportion of Variability

c. Extrapolation

d. Residual analysis

The process of creating a linear model of bivariate data.

a. Least Squares Regression

b. Variability

c. Extrapolation

d. Residual analysis

The coefficient of determination is a measure of

a. Least Squares Regression

b. Proportion of Variability

c. Extrapolation

d. Residual analysis

Solutions

Expert Solution

1. Extrapolation with linear models beyond the given data is highly accurate. TRUE or FALSE?

Answer:- False.

Because in extrapolation error increases.

"Extrapolation" beyond the "scope of the model" occurs when one uses an estimated regression equation

to predict a new response y for x values not in the range of the sample data used

to determine the estimated regression equation.

2. Linear regression models may not always acccurately reflect the pattern of data from which they are made

answer:- True because if we used the binary data for linear regression it may not reflect pattern in the data.

3. The "Portion of Variability" is also known as the

d. Coefficient of determination

because it tells that variability in the data in the model

4. Investigating the difference between the predicted value of y and the actual value y.

actual value - predicted value = residual.

d. Residual analysis

5. The process of creating a linear model of bivariate data.

a. Least Squares Regression

because all other options are part of linear regression.'

6. The coefficient of determination is a measure of

b. Proportion of Variability

because it explains the proportion of variability in the data explained by the model.

orchestra answered 2 years ago
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