x 2 4 6 6 7 y 4 8 10 13 20 (a) Complete the following table and then use the computational formula to compute the linear correlation coefficient r between x and y. xi yi xi^2 yi^2 xiyi 2 4 4 8 6 10 6 13 7 20 Total ?xi = ?yi = ?xi^2 = ?yi^2 = ?xiyi = (b) Find the least-squares regression line ? = b1x + b0 by hand.
Added by Nathan M.
Close
Step 1
r = (4 * 40 - 10 * 14) / sqrt((4 * 30 - 10^2)(4 * 54 - 14^2)) Show more…
Show all steps
Your feedback will help us improve your experience
Adi S and 60 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
Compute the coefficient of correlation between X and Y and hence obtain the equations of the regression lines from the following data: X: 22 26 29 30 31 31 34 35 Y: 20 20 21 29 27 24 27 31
Ameer S.
Find the equation of the least-squares regression line ŷ and the linear correlation coefficient r for the given data. Round the constants, a, b, and r, to the nearest hundredth. {(2, −3), (3, −6), (5, −7), (6, −9), (8, −10)}
Shaiju T.
a) Calculate the least square regression line for X on Y of the given data? b) Calculate the coefficient of correlation of the given date? Interpret the value of the coefficient? X Y 5 22 7 29 8 23 9 54 12 20 16 12 19 23 22 17 29 55 30 21
Madhur L.
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