Given are data for two variables, x and y. x6 11 15 18 20 y; 5 9 13 19 30 (a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) ý = -7.24+1.60x (b) Compute the residuals. (Round your answers to two decimal places.) X; y Residuals 6 5 2.63 11 9 -1.39 15 13 -3.80 19 -2.61 18 20 30 5.18 (d) Compute the standardized residuals. (Round your answers to two decimal places.) *; v; Standardized Residuals 6 5 1.11 11 9 -0.37 ua 13 -0.98 18 19 -0.73 20 30 1.66
Added by Eugenia M.
Step 1
Step 1: Given data x: 6, 11, 15, 18, 20 y: 5, 9, 13, 19, 30 --- Show more…
Show all steps
Close
Your feedback will help us improve your experience
Adi S and 68 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Given are data for two variables, x and y. xi 6 11 15 18 20 yi 6 8 13 20 30 (a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) Å· = -6.93 + 1.60x (b) Compute the residuals. (Round your answers to two decimal places.) xi yi Residuals 6 6 0.40 11 8 -0.80 15 13 -0.20 18 20 1.20 20 30 7.20 (c) Develop a plot of the residuals against the independent variable x. A residual plot has 5 points plotted on it. The horizontal axis ranges from 0 to 25 and is labeled: x. The vertical axis ranges from -6 to 6 and is labeled: Residuals. There is a horizontal line that spans the graph at 0 on the vertical axis. 2 points lie above the line and 3 lie below it. The points are plotted from left to right in a downward, diagonal direction starting from the upper left corner of the plot. The maximum residual is located at x = 6 and the minimum occurs at x = 20. (d) Compute the standardized residuals. (Round your answers to two decimal places.) xi yi Standardized Residuals 6 6 0.11 11 8 -0.22 15 13 -0.06 18 20 0.33 20 30 1.99 (e) Develop a plot of the standardized residuals against Å·. A standardized residual plot has 5 points plotted on it. The horizontal axis ranges from 0 to 30 and is labeled: Å·. The vertical axis ranges from -3 to 3 and is labeled: Standardized Residuals. There is a horizontal line that spans the graph at 0 on the vertical axis. 2 points lie above the line and 3 lie below it. The points start above the line at about Å· = 3 in the upper left corner of the plot, then are plotted from left to right in a downward, diagonal direction until reaching a low below the line at about Å· = 17. They then continue to be plotted in an upward diagonal direction until reaching a high above the line at about Å· = 25.
Adi S.
Given are data for two variables, x and y. xi 6 11 15 18 20 yi 7 9 13 20 30 (a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) ŷ = (b) Compute the residuals. (Round your answers to two decimal places.) xi yi Residuals 6 7 11 9 15 13 18 20 20 30 (d) Compute the standardized residuals. (Round your answers to two decimal places. xi yi Standardized Residuals 6 7 11 9 15 13 18 20 20 30
Shaiju T.
Given are data for two variables, x and y. xi 6 11 15 18 20 yi 7 7 13 21 30 (a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) ŷ = (b)Compute the residuals. (Round your answers to two decimal places.) xi yi Residuals 6 7 11 7 15 13 18 21 20 30 (c)Compute the standardized residuals. (Round your answers to two decimal places.) xi yi Standardized Residuals 6 7 11 7 15 13 18 21 20 30
Paul A.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD