Develop the estimated regression equation by computing the values of b0 and b1 using equations. You may use the textbook and Excel as well. x ̅= y ̅= Xi Yi Xi-x ̅ Yi-y ̅ (Xi-x ̅)( Yi-y ̅) (Xi-x ̅)² 1 4 -0.6 -1 0.6 0.36 2 6 0.4 1 0.4 0.16 0 1 -1.6 -4 6.4 2.56 3 7 -0.6 2 -1.2 0.36 2 6 0.4 1 0.4 0.16 SUM (ε): Y ̂=
Added by Gwendolyn B.
Step 1
6 y ̅ = (4 + 6 + 1 + 7 + 6) / 5 = 24 / 5 = 4.8 Show more…
Show all steps
Close
Your feedback will help us improve your experience
Madhur L and 76 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
Develop the estimated regression equation by computing the values of b0 and b1 using b1 = ̃́(xi − x)(yi − y) / ̃́(xi − x)² and b0 = y − b1x. ŷ = (e) Use the estimated regression equation to predict the value of y when x = 4. Given are five observations for two variables, x and y Xi: 1, 2, 3, 4, 5 Yi: 3, 8, 4, 12, 13
Madhur L.
(d) Develop the estimated regression equation by computing the values of b0 and b1 using b1 = Σ(xi - x̄)(yi - ȳ) / Σ(xi - x̄)² and b0 = ȳ - b1x̄. (e) Use the estimated regression equation to predict the value of y when x = 2.
Given are five observations for two variables, x and y. xi 3 12 6 20 14 yi 55 40 55 10 15 Develop the estimated regression equation by computing the values of b0 and b1 using b1 = Σ(xi - x)(yi - y) / Σ(xi - x)^2 and b0 = y - b1x. ŷ = (e) Use the estimated regression equation to predict the value of y when x = 10.
Lakshya H.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
400,000+
Students learning Statistics & Probability with Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD
