Question

You are given the following information about y and x.
Y X
Dependent Independent
Variable Variable
5 15
7 12
9 10
11 7
Question: The least Squares of b1 equals?
a.) -0.7647
b.) -0.13
c.) 21.4
d.) 16.412
Question: The least squares estimate of bO equals?
a.) -7.647
b.)-1.3
c.) 21.4
d.) 16.41176
Question: The sample correlation coefficient equals
a.)-86.667
b.)-0.99705
c.0.9941
D.0.99705
Question: The coefficient of determination equals
a.) -0.99705
b.)-0.9941
c.)0.9941
d.)0.99705

Answer 1

Answer:

A ; D ; B ; D

Step-by-step explanation:

Given the data:

Dependent Independent

Variable Variable

Y ___ X

5 __ 15

7 __ 12

9 __ 10

11 __ 7

The general regression equation is of the form /

Y = B0 + BiX

Y = dependent variable ; B0 = intercept ` B1 = slope ; X = independent variable

Using calculator, the model obtained for the model is :

Y = 16.41176 - 0.7647x

Hence,

Least square estimate for b1 = - 0.7647

Least square estimate for b0 = 16.41176

Correlation Coefficient (R) = - 0.99705

The Coefficient of determination (R²) = - 0.99705^2 = 0.994108

.