Question

A. Explain which model in the “Data and Graphs” attachment is most accurate, based only on their graphical qualities and R² values, which can both be found in the “Data and Graphs” attachment.

Note: R² is the square of the correlation coefficient between the data and the model.

B. Given that the actual U.S. Population in 2010 was 308.75 million, explain which of the following models is most accurate, including computations of the relative errors, based only on the following U.S. population predictions in millions by each model for the year 2010:

• linear: 242.89

• exponential: 515.34

• quadratic: 304.36

• third-degree polynomial: 308.22

• fourth-degree polynomial: 311.96

A. Explain which model in the “Data and Graphs” attachment is most accurate, based only on their graphical qualities and R² values, which can both be found in the “Data and Graphs” attachment.

Note: R² is the square of the correlation coefficient between the data and the model.

B. Given that the actual U.S. Population in 2010 was 308.75 million, explain which of the following models is most accurate, including computations of the relative errors, based only on the following U.S. population predictions in millions by each model for the year 2010:

• linear: 242.89

• exponential: 515.34

• quadratic: 304.36

• third-degree polynomial: 308.22

• fourth-degree polynomial: 311.96

A. Explain which model in the “Data and Graphs” attachment is most accurate, based only on their graphical qualities and R² values, which can both be found in the “Data and Graphs” attachment.

Note: R² is the square of the correlation coefficient between the data and the model.

B. Given that the actual U.S. Population in 2010 was 308.75 million, explain which of the following models is most accurate, including computations of the relative errors, based only on the following U.S. population predictions in millions by each model for the year 2010:

• linear: 242.89

• exponential: 515.34

• quadratic: 304.36

• third-degree polynomial: 308.22

• fourth-degree polynomial: 311.96

A. Explain which model in the “Data and Graphs” attachment is most accurate, based only on their graphical qualities and R² values, which can both be found in the “Data and Graphs” attachment.

Note: R² is the square of the correlation coefficient between the data and the model.

B. Given that the actual U.S. Population in 2010 was 308.75 million, explain which of the following models is most accurate, including computations of the relative errors, based only on the following U.S. population predictions in millions by each model for the year 2010:

• linear: 242.89

• exponential: 515.34

• quadratic: 304.36

• third-degree polynomial: 308.22

• fourth-degree polynomial: 311.96

A. Explain which model in the “Data and Graphs” attachment is most accurate, based only on their graphical qualities and R² values, which can both be found in the “Data and Graphs” attachment.

Note: R² is the square of the correlation coefficient between the data and the model.

B. Given that the actual U.S. Population in 2010 was 308.75 million, explain which of the following models is most accurate, including computations of the relative errors, based only on the following U.S. population predictions in millions by each model for the year 2010:

• linear: 242.89

• exponential: 515.34

• quadratic: 304.36

• third-degree polynomial: 308.22

• fourth-degree polynomial: 311.96

A. Explain which model in the “Data and Graphs” attachment is most accurate, based only on their graphical qualities and R² values, which can both be found in the “Data and Graphs” attachment.

Note: R² is the square of the correlation coefficient between the data and the model.

B. Given that the actual U.S. Population in 2010 was 308.75 million, explain which of the following models is most accurate, including computations of the relative errors, based only on the following U.S. population predictions in millions by each model for the year 2010:

• linear: 242.89

• exponential: 515.34

• quadratic: 304.36

• third-degree polynomial: 308.22

• fourth-degree polynomial: 311.96

A. Explain which model in the “Data and Graphs” attachment is most accurate, based only on their graphical qualities and R² values, which can both be found in the “Data and Graphs” attachment.

Note: R² is the square of the correlation coefficient between the data and the model.

B. Given that the actual U.S. Population in 2010 was 308.75 million, explain which of the following models is most accurate, including computations of the relative errors, based only on the following U.S. population predictions in millions by each model for the year 2010:

• linear: 242.89

• exponential: 515.34

• quadratic: 304.36

• third-degree polynomial: 308.22

• fourth-degree polynomial: 311.96

Answer 1

A1	B	C	D	E	F
2	Model	Estimated value	Actual Value	Relative Error	Percent Error
3	• linear:	242.89	308.75	78.66882591	21.33117409
4	• exponential:	515.34	308.75	166.9117409	-66.91174089
5	• quadratic:	304.36	308.75	98.57813765	1.421862348
6	• third-degree polynomial:	308.22	308.75	99.82834008	0.171659919
7	• fourth-degree polynomial:	311.96	308.75	101.0396761	-1.039676113

A1	B	C	D	E	F
2	Model	Estimated value	Actual Value	Relative Error	Percent Error
3	• linear:	242.89	308.75	=C3/D3*100	=(D3-C3)/D3*100
4	• exponential:	515.34	308.75	=C4/D4*100	=(D4-C4)/D4*100
5	• quadratic:	304.36	308.75	=C5/D5*100	=(D5-C5)/D5*100
6	• third-degree polynomial:	308.22	308.75	=C6/D6*100	=(D6-C6)/D6*100
7	• fourth-degree polynomial:	311.96	308.75	=C7/D7*100	=(D7-C7)/D7*100

The third polynomial model is having the least difference between the actual value and the calculated value.

Its Relative error is also near 100% and Percent error is near 0