6 observations on (X ,Y) yielded the following data:i) Determi

Question

6 observations on (X ,Y) yielded the following data:

$\sum X_{i}=30,\quad\sum Y_{i}=180,\quad\sum X_{i}Y_{i}=1000,\\\sum X_{i}^{2}=200,\quad\sum Y_{i}^{2}=5642.$

i) Determine the correlation coefficient between X and Y.

ii) Given X =10, what will be the predicted value of Y ?

iii) Given Y =15,what will be the predicted value of X ?

18 Feb 2025

Answer :

Word Count : 346

We will solve this step by step. ### Given Data: \[ \sum X_i = 30, \quad \sum Y_i = 180, \quad \sum X_i Y_i = 1000 \] \[ \sum X_i^2 = 200, \quad \sum Y_i^2 = 5642 \] Number of observations: $ n = 6 $ ### Step 1: Compute Means \[ \bar{X} = \frac{\sum X_i}{n} = \frac{30}{6} = 5 \] \[ \bar{Y} = \frac{\sum Y_i}{n} = \frac{180}{6} = __________ ___ ________ ____ ________ ____ __________ ________ ______ _____ ___.
________ _______ ___ ____ ______ _______ ____ ____ ____ _______.
_________ ________ _________ ______ ________ _____.
__________ ________ ________ _______ _________ ______ _______ ______ _______.
___ _____ _____ _____ ________ ___ __________ ___ _____ __________ _____ ________.
_______ ____ _____ ______ _____.
_______ _________ _____ _____ ______ ____ ______ __________ _______ ______ ____ _________.
___ ______ ________ ___ ______ ______ ________ ____ ________ _________ __________ ______.
_________ ______ _____ ________ _______ _____ ____ ________ ________.
__________ ___ ___ ___ ____.
___ _______ ____ _________ ______ _______ __________ ______ _____ _______ ___ _______.
_____ ________ ___ __________ _____ ______ _______ _________ ___ _________ ________.
________ ____ ______ ____ _________ ______.
________ ___ ________ ________ ______ _____ _______ _________.
_______ ___ ___ ___ ________.
__________ _________ ________ ____ ____ _______ ________.
_______ ________ _____ ____ ______ ______.
_______ _______ _______ ______ _______ ____ ____ ________ _________ ____ _____.
______ __________ _______ ___ ______ _________ ____ _________.
_____ ___ __________ ________ ___ __________ __________.
_______ ___ __________ ________ ______ ____ ___ ___ __________ ____.
___ __________ __________ _______ _________ ____ __________ ________.
_____ ________ _______ _________ ____ ___ ______ ________ ________.
_____ ____ __________ _______ ________ ___.
________ _________ _______ ______ ________ ____.
___ ________ ______ _______ __________ ______ __________ _______ __________ _____ ______ __________.
___ _________ _______ _____ _______ ___.
_____ _____ ________ ___ __________ _________ _________.
________ ______ _______ ______ _______ _______ _________ ___ ______ ________ ____ __________.
___ ____ _________ ________ ______ __________.
________ __________ ___ _________ _________ ________.
________ ____ ______ __________ __________ _______ ________ ___.
________ ________ _____ __________ __________ _____ __________.
_______ ____.
Get Full Answer on WhatsApp

IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers

IGNOU NEWS

Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★