Question

A researcher wants to estimate the relationship between years of educational attainment (X) and the average yearly earnings of individuals (Y). For this, he collects data from a random sample of 115 individuals. From this data, he calculates the sample variances (S^2X, S^2Y) and the sample covariance (SXY). If S^2X = 85.23, S^2Y = 170.23, and SXY = 118.10, then the sample correlation coefficient will be ____.

Name: a researcher wants to estimate the relationship between years of educational attainment x and the average yearly earnings of individuals y for this he collects data from a random sample of 1 47019
Uploaded: 2022-09-21T19:40:22-08:00
Duration: 1 min 26 s
Channel: David Nguyen
Description: a researcher wants to estimate the relationship between years of educational attainment x and the average yearly earnings of individuals y for this he collects data from a random sample of 1 47019

          A researcher wants to estimate the relationship between years of educational attainment (X) and the average yearly earnings of individuals (Y). For this, he collects data from a random sample of 115 individuals. From this data, he calculates the sample variances (S^2X, S^2Y) and the sample covariance (SXY). If S^2X = 85.23, S^2Y = 170.23, and SXY = 118.10, then the sample correlation coefficient will be ____.

Added by Vincent F.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert David Nguyen

09/21/2022

Step 1

Step 1: Calculate the correlation coefficient using the formula: \[ r = \frac{S_{XY}}{\sqrt{S_{X}^2 \times S_{Y}^2}} \] Show more…

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A researcher wants to estimate the relationship between years of educational attainment (X) and the average yearly earnings of individuals (Y). For this, he collects data from a random sample of 115 individuals. From this data, he calculates the sample variances (S^2X, S^2Y) and the sample covariance (SXY). If S^2X = 85.23, S^2Y = 170.23, and SXY = 118.10, then the sample correlation coefficient will be ____.