Answer the questions with the data on picture, please. a) Determine the sample correlation coefficient rxy b) Determine the sample regression equation: y= b0+b1x c) Compute the coefficient of determination. d) What is the predicted explanatory value if the response value is 8?

Answer the questions with the data on picture, please. a) Determine the sample correlation coefficient rxy b) Determine the sample regression equation: y= b0+b1x c) Compute the coefficient of determination. d) What is the predicted explanatory value if the response value is 8?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

**Answer the questions with the data on picture, please.

a) Determine the sample correlation coefficient r_xy

b) Determine the sample regression equation: y= b₀+b₁x

c) Compute the coefficient of determination.

d) What is the predicted explanatory value if the response value is 8?

x = 16,
Sx = 2,
y = -6,
Sy = 5,
Sxy=
7,
b₁ = .8

Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.

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