5.4 Consider the data shown below. Construct a scatter diagram and suggest an appropriate form for the regression model. Fit this model to the data and conduct the standard tests of model adequacy. X 10 15 18 9 8 6 12 0.15 11 0.18 y 0.17 0.13 0.09 0.20 0.21 0.24
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- Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. X 7 14 10 11 15 12 6. 13 9. у 5.27 6.91 7.95 8.18 1.83 5.83 8.09 3.71 7.67 7.38 6.49 x (Round to two decimal places as needed.) %3D + Create a scatterplot of the data. Choose the correct graph below. A. В. OC. O D. .y 25- Ay 25- y 25- 25- 20- 20- 20- 20- 15- 15 15- 15- 103 105 103 105 5- 5극 53 5극 X X 0- 0- 0- 0 5 10 15 20 25 5 10 15 20 25 05 10 15 20 25 5 10 15 20 25 Identify a characteristic of the data that is ignored by the regression line. A. There is no trend in the data. B. There is an influential point that strongly affects the graph of the regression line. C. The data has a pattern that is not a straight line. D. There is no characteristic of the data that is ignored by the regression line. bo00 0Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. 9. 8 11 9. 11 14 4 12 y 7.47 6.66 13.28 7.1 7.59 8.43 6.09 5.39 7.9 6.48 5.65 O A. OB. Oc. OD. Ay 25- Ay 25- Ay 25- AV 25- 20 20 20 20 15 15- 15- 15 10 10- 10- 10- 55 51 5- 0- Ó 5 10 15 20 25 0- 05 10 15 20 25 0- 5 10 15 20 25 O 5 10 15 20 25 Find the equation of the regression line. (Round the constant two decimal places as needed. Round the coefficient to three decimal places as needed.) Identify a characteristic of the data that is ignored by the regression line. O A. There is an influential point that strongly affects the graph of the regression line. O B. There is no characteristic of the data that is ignored by the regression line. O C. The data has a pattern that is not a straight line. D. There is no trend in the data.Find the linear regression line for the following table of values. You will need to use a calculator, spreadsheet, c statistical software. Notes Enter your answer in the form y = mx + b, with m and b both rounded to two decimal places. g Center y 6.03 9.65 ions 11.49 11.57 12.96 8 14.97 uncements 6. 16.31 10 17.43 ymous pack 11 18.55 pook Supnort to search Pg PgUp F11 PrtScn Home End
- Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. 12 10 14 13 6 y 7.26 6.82 12.79 7.28 7.92 9.07 6.29 5.46 8.45 6.44 6.02 Create a scatterplot of the data. Choose the correct graph below. O B. Oc. OD. 25- 25 25- 25- 20- 20- 20 205 15 15 15 15 10- 105 10- 10 53 07 0 5 10 15 20 25 0 5 10 15 20 25 0 5 10 15 20 25 o 5 10 15 20 25 8.The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states, where T is thousands of automatic weapons and y is murders per 100,000 residents. 11.4 8.1 6.7 3.3 2.3 2.6 2.1 0.7 13.6 10.6 9.6 6.9 5.9 6.4 6. 4.9 Use your calculator to determine the equation of the regression line and write it in the y = ar +b form. Round to 2 decimal places. y = .78x +4.39 According to this model, how many murders per 100,000 residents can be expected in a state with 2.1 thousand automatic weapons? Round to 3 decimal places. 5.9 According to this model, how many murders per 100,000 residents can be expected in a state with 7 thousand automatic weapons? Round to 3 decimal places. 9.82Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. 9 9 11 10 11 14 4 13 7 6 y 7.59 6.87 13.06 7.32 8.58 6.09 5.62 8.35 6.73 7.77 5.9 Create a scatterplot of the data. Choose the correct graph below. O A. OB. OC. Oc. OD. Ay 25- Ay 25- Ay 25- 25- 20 20- 20- 20- 155 155 155 155 105 105 105 105 5- 55 55 55 0- Ó 5 10 15 20 25 0- 0- 05 10 15 20 25 Ó 5 10 15 20 25 0 5 10 15 20 25 Find the equation of the regression line. (Round the constant two decimal places as needed. Round the coefficient to three decimal places as needed.) Identify a characteristic of the data that is ignored by the regression line. O A. The data has a pattern that is not a straight line. O B. There is no characteristic of the data that is ignored by the regression line. OC. There is an influential point that strongly affects the graph of the regression line. O D. There is no trend in the data.
- No calculations required. Choose correct answer only.Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. x 11 12 10 6 13 14 7 5 4 8 9 y 14.34 14.30 14.01 8.90 13.86 13.05 10.74 6.66 4.05 12.21 13.31Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. x 11 7 11 10 12 14 6 4 11 8 5 y 7.6 6.6 13.07 7 7.67 9.18 5.81 5.46 8.04 6.52 5.99 Create a scatterplot of the data. Choose the correct graph below. A. 05101520250510152025xy A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (4, 8); (5, 6); (6, 6.5); (7, 6.5); (8, 9); (10, 7.5); (11, 5.5); (11, 7); (11, 13); (12, 6); (14, 7.5). B. 05101520250510152025xy A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows:…
- Compute the least-squares regression equation for the given data set. Use a TI-84 calculator. Round the slope and y-intercept to at least four decimal places. 43 37 15 19 24 37 18 y 72 67 25 29 42 65 32 Send data to Excel Regression line equation: y = 1.7777x + 1.5838Which of the following is an assumption of the regression model? Select one: a. X and Y are independent variables. b. The errors of prediction are uniformly distributed. c. The error terms of X are dependent on the error terms of Y. d. There exists a linear association between variables X and Y.The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states, where is thousands of automatic weapons and y is murders per 100,000 residents. 11.6 8.4 6.8 3.7 2.8 2.6 2.6 0.8 y 13.7 10.9 9.7 7.1 6.4 6.3 5.9 4.4 Use your calculator to determine the equation of the regression line and write it in the y = a + bx form. Round to 2 decimal places. According to this model, how many murders per 100,000 residents can be expected in a state with 2.4 thousand automatic weapons? Round to 3 decimal places. According to this model, how many murders per 100,000 residents can be expected in a state with 3.7 thousand automatic weapons? Round to 3 decimal places.