MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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x |
y |
10 |
8.04 |
8 |
6.95 |
13 |
7.58 |
9 |
8.81 |
11 |
8.33 |
14 |
9.96 |
6 |
7.23 |
4 |
4.26 |
12 |
10.84 |
5) The y-intercept of the least squares regression line is:
A) 10.48
B) 18.05
C) 3.57
D) 0.46
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- x y 10 8.04 8 6.95 13 7.58 9 8.81 11 8.33 14 9.96 6 7.23 4 4.26 12 10.84 4) Determine the slope of the least squares regression line. A) 10.48 B) 18.05 C) 3.57 D) 0.46arrow_forwardAn article gave a scatter plot along with the least squares line of x = rainfall volume (m³) and y = runoff volume (m³) for a particular location. The accompanying values were read from the plot. x 6 12 14 16 23 30 40 52 55 67 72 83 96 112 127 y 4 10 13 14 15 25 27 45 38 46 53 76 82 99 103 (a) Does a scatter plot of the data support the use of the simple linear regression model? O Yes, the scatterplot shows a reasonable linear relationship. O Yes, the scatterplot shows a random scattering with no pattern. O No, the scatterplot shows a reasonable linear relationship. O No, the scatterplot shows a random scattering with no pattern. (b) Calculate point estimates of the slope and intercept of the population regression line. (Round your answers to four decimal places.) slope intercept (c) Calculate a point estimate of the true average runoff volume when rainfall volume is 52. (Round your answer to four decimal places.) m³ (d) Calculate a point estimate of the standard deviation o. (Round…arrow_forwardSquare Footage, X Asking Price ($000s), y 1148 154 1096 159.9 1142 169 1288 169.9 1322 170 1466 179.9 1344 180 1544 189 1494 189.9 Determine the least squares regression line.arrow_forward
- The following table number of absences (x) and the grade earned on the first exam (y) for a Statistics class. 3. 9. 5 8. y 86 76 91 54 84 54 The least-squares regression line is in the form y= bo + b,x. Compute the value of bo. That is, compute the intercept. Round your answer to two decimal places. Write only a number as your answer. Your Answer: Answerarrow_forwardAn article gave a scatter plot along with the least squares line of x = rainfall volume (m³) and y = runoff volume (m³) for a particular location. The accompanying values were read from the plot. X 4 12 14 20 23 30 40 50 55 67 72 83 96 112 127 y 4 10 13 14 15 25 27 45 38 46 53 75 82 99 104 USE SALT (a) Does a scatter plot of the data support the use of the simple linear regression model? o Yes, the scatterplot shows a reasonable linear relationship. Yes, the scatterplot shows a random scattering with no pattern. No, the scatterplot shows a reasonable linear relationship. No, the scatterplot shows a random scattering with no pattern. (b) Calculate point estimates of the slope and intercept of the population regression line. (Round your answers to four decimal places.) slope X X .84210 intercept -1.86631 (c) Calculate a point estimate of the true average runoff volume when rainfall volume is 45. (Round your answer to four decimal places.) 40.2387 X m 3 (d) Calculate a point estimate of…arrow_forwardConsider the following. X Y 1 3 5 2 9 7 11 7 5 5 (a) Find an equation of the least squares line for the data given above. (Round your numerical values to two decimal places.) y= (b) Draw a scatter diagram for the data and graph the least squares line. y 15 10 5 15 10) Need Help? 2 Pe 10 @O 08 15 10 15 10 10 10 X 5arrow_forward
- Use the method of least squares to fit the model to the data. Y hat= _+_xarrow_forwardReport the equation of the regression line and interpret it in the context of the problemarrow_forwardComplete parts (a) through (h) for the data below. 30 40 50 60 70 y 90 87 82 74 Question Help v 62 (c) Graph the line found in part (b) on the scatter diagram. Choose the correct graph below. O A. OB. Ay 80- OC. Ay 80- OD. Av 20- 20 20 80 100 (d) By hand, determine the least-squares regression line. /Dound to throo donimal lncon an nondod Click to select your answer(s). M acer 9 esc # 2$ 6. 4 3 e W k harrow_forward
- An article gave a scatter plot along with the least squares line of x = rainfall volume (m3) and y = runoff volume (m3) for a particular location. The accompanying values were read from the plot. x 6 12 14 20 23 30 40 50 55 67 72 79 96 112 127 y 4 10 13 15 15 25 27 46 38 46 53 74 82 99 104 (a) Does a scatter plot of the data support the use of the simple linear regression model? Yes, the scatterplot shows a reasonable linear relationship.Yes, the scatterplot shows a random scattering with no pattern. No, the scatterplot shows a reasonable linear relationship.No, the scatterplot shows a random scattering with no pattern. (b) Calculate point estimates of the slope and intercept of the population regression line. (Round your answers to four decimal places.) slope intercept (c) Calculate a point estimate of the true average runoff volume when rainfall volume is 50. (Round your answer to four decimal places.) m3(d) Calculate a point estimate of the…arrow_forwarda) Determine the least squares regression equation for the population in years since 2005. Round the slope and y-intercept to the nearest tenth. b) Find the correlation coefficient, r-value, of the line. Round your answer to the nearest thousandth. c) Predict the population for the 2020. ____ thousand peoplearrow_forwarddetermine whether the statement is true or false. If the statement is false, rewrite it as a true statement. The y-intercept b0 of a least-squares regression line has a useful interpretation only if the x-values are either all positive or all negative.arrow_forward
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