The regression line, the correlation coefficient r and also plot the provided points along with the obtained regression line using the technology and round off all the coefficients to two decimal places when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000 − 2004 where t is the number of years since 2000 is as follows: Year, t 0 1 2 3 4 Connections, c (in thousands) 0 10 25 65 150

Question

Want to see the full answer?

Answer 1

Question

Compare Compare Correlation is the measure of the degree of the relationship between the variables. In regression, the relationship between the variables to predict one by another is assessed. In correlation there is no cause and effect between the variables, whereas in regression there is a cause and effect between the variables. By using correlation, we cannot predict anything, but regression is a predictive tool. Coefficients are symmetrical in correlation but in regression they are asymmetrical. Correlation is independent of change in origin and scale, but regression is not independent of change in scale.

Chapter 1.4, Problem 36E

(a)

To determine

To calculate: The regression line, the correlation coefficient r and also plot the provided points along with the obtained regression line using the technology and round off all the coefficients to two decimal places when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

(b)

To determine

Whether the graph shows linear or non-linear relationship between t and c and give reason for the appropriate answer using the graph which is calculated in part (a).

(c)

To determine

To calculate: The residuals using the technology and also justify the result obtained in part (b) by using the residuals when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. Check first to see if the graph crosses the x-axis in the given interval. f(x)=8-2x²: [0,4] Set up the integral (or integrals) needed to compute this area. Use the smallest possible number of integrals. Select the correct choice below and fill in the answer boxes to ○ A. dx B. 2 S 8-2x² dx+ 4 S 2 8-2x2 dx C. dx + S dx For the interval [0,4], the area between the x-axis and f(x) is (Type an integer or a simplified fraction.)

Pollution from a factory is entering a lake. The rate of concentration of the pollutant at time t is 5 given by P'(t) = 126t², where t is the number of years since the factory started introducing pollutants into the lake. Ecologists estimate that the lake can accept a total level of pollution of 600 units before all the fish life in the lake ends. Can the factory operate for 2 years without killing all the fish in the lake? Set up the integral that would determine the pollution level after 2 years. 2 5 126t 2 dt Can the factory operate for 2 years without killing all the fish in the lake? Thee factory can operate for 2 years without killing all the fish in the lake because the value of the integral is , which is less than 600. (Round to the nearest integer as needed.)

Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. Check first to see if the graph crosses the x-axis in the given interval. f(x)=4x-12; [2,6] The area between the x-axis and f(x) is (Type an integer or a simplified fraction.)

Answer 2

Question

Compare Compare Correlation is the measure of the degree of the relationship between the variables. In regression, the relationship between the variables to predict one by another is assessed. In correlation there is no cause and effect between the variables, whereas in regression there is a cause and effect between the variables. By using correlation, we cannot predict anything, but regression is a predictive tool. Coefficients are symmetrical in correlation but in regression they are asymmetrical. Correlation is independent of change in origin and scale, but regression is not independent of change in scale.

Chapter 1.4, Problem 36E

(a)

To determine

To calculate: The regression line, the correlation coefficient r and also plot the provided points along with the obtained regression line using the technology and round off all the coefficients to two decimal places when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

(b)

To determine

Whether the graph shows linear or non-linear relationship between t and c and give reason for the appropriate answer using the graph which is calculated in part (a).

(c)

To determine

To calculate: The residuals using the technology and also justify the result obtained in part (b) by using the residuals when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Compare Compare Correlation is the measure of the degree of the relationship between the variables. In regression, the relationship between the variables to predict one by another is assessed. In correlation there is no cause and effect between the variables, whereas in regression there is a cause and effect between the variables. By using correlation, we cannot predict anything, but regression is a predictive tool. Coefficients are symmetrical in correlation but in regression they are asymmetrical. Correlation is independent of change in origin and scale, but regression is not independent of change in scale.

Chapter 1.4, Problem 36E

(a)

To determine

To calculate: The regression line, the correlation coefficient r and also plot the provided points along with the obtained regression line using the technology and round off all the coefficients to two decimal places when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

(b)

To determine

Whether the graph shows linear or non-linear relationship between t and c and give reason for the appropriate answer using the graph which is calculated in part (a).

(c)

To determine

To calculate: The residuals using the technology and also justify the result obtained in part (b) by using the residuals when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Compare Compare Correlation is the measure of the degree of the relationship between the variables. In regression, the relationship between the variables to predict one by another is assessed. In correlation there is no cause and effect between the variables, whereas in regression there is a cause and effect between the variables. By using correlation, we cannot predict anything, but regression is a predictive tool. Coefficients are symmetrical in correlation but in regression they are asymmetrical. Correlation is independent of change in origin and scale, but regression is not independent of change in scale.

Chapter 1.4, Problem 36E

(a)

To determine

To calculate: The regression line, the correlation coefficient r and also plot the provided points along with the obtained regression line using the technology and round off all the coefficients to two decimal places when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

(b)

To determine

Whether the graph shows linear or non-linear relationship between t and c and give reason for the appropriate answer using the graph which is calculated in part (a).

(c)

To determine

To calculate: The residuals using the technology and also justify the result obtained in part (b) by using the residuals when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 1.4, Problem 36E

(a)

To determine

To calculate: The regression line, the correlation coefficient r and also plot the provided points along with the obtained regression line using the technology and round off all the coefficients to two decimal places when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

(b)

To determine

Whether the graph shows linear or non-linear relationship between t and c and give reason for the appropriate answer using the graph which is calculated in part (a).

(c)

To determine

To calculate: The residuals using the technology and also justify the result obtained in part (b) by using the residuals when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

Answer 6

Chapter 1.4, Problem 36E

(a)

To determine

To calculate: The regression line, the correlation coefficient r and also plot the provided points along with the obtained regression line using the technology and round off all the coefficients to two decimal places when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

Answer 7

Chapter 1.4, Problem 36E

(a)

To determine

To calculate: The regression line, the correlation coefficient r and also plot the provided points along with the obtained regression line using the technology and round off all the coefficients to two decimal places when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

Answer 8

(b)

To determine

Whether the graph shows linear or non-linear relationship between t and c and give reason for the appropriate answer using the graph which is calculated in part (a).

Answer 9

(b)

To determine

Whether the graph shows linear or non-linear relationship between t and c and give reason for the appropriate answer using the graph which is calculated in part (a).

Answer 10

(c)

To determine

To calculate: The residuals using the technology and also justify the result obtained in part (b) by using the residuals when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

Answer 11

(c)

To determine

To calculate: The residuals using the technology and also justify the result obtained in part (b) by using the residuals when the table representing the number of fiber-optic cable connections to homes in the United States during the period 2000−2004 where t is the number of years since 2000 is as follows:

Year, t 0 1 2 3 4

Connections, c (in thousands) 0 10 25 65 150

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 15

Solution Summary: The author calculates the regression line, the correlation coefficient r, and plotted the provided points along with the obtained regression lines using the technology.

Concept explainers

Videos

Whether the graph shows linear or non-linear relationship between t and c and give reason for the appropriate answer using the graph which is calculated in part (a).

Want to see the full answer?

Chapter 1 Solutions

Year, t	0	1	2	3	4
Connections, c (in thousands)	0	10	25	65	150

Year, t	0	1	2	3	4
Connections, c (in thousands)	0	10	25	65	150