Identify a situation where using correlation coefficient is
appropriate. Could a regression equation be used in the same
situation? How are correlation and regression alike? How are they
different?
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.
{(0, 10.8), (3, 11.3), (5, 11.2), (−4, 10.7), (1, 9.3)}
Q1: Define the following terms:
a. correlation coefficient
b. scatter plot
c. bivariate relationship
Q2: Provide an example where the outlier is more important to the research than the other observations?
Q3: Identify when to use Spearman’s rho
Answer the questions below based on the following
table:
Fatigue
Vigor
Sleepiness
Tension
.36*
–.31*
.08
Fatigue
–.73***
.57**
Vigor
–.49**
* p < .05, **
p < .01, *** p < .001
The strongest correlation is between _________________________
and ________________________. (Give variable names)
The weakest correlation is between __________________________
and ________________________. (Give variable names)
The correlation between sleepiness and fatigue is
___________________
(indicate direction) and
________________________ (indicate strength).
1. When examining
the relation between two variables, when is it...
Show how; Independent t-test ,
Coefficient of determination, Exploratory factor analysis,
Chi-square test, Correlation
coefficient, R-squared value, Analysis of
covariance, Analysis of variance are applied in analysis of
quantitative data ( explain in simple English please)
A. Define the following terms:
-Correlation
-Causation
B. How do we know when 2 variables are correlated?
C. Explain the following: “Correlation does not equal
Causation”
D. What requirements must be met to satisfy Causation?
Define the following terms. Give an example of the relevance of
the term in an industrial setting. i.Boiling Point:
ii. Vapor Pressure:
iii. Lower Explosive Limit:
iv. Upper Explosive Limit:
v. Rate of Evaporation:
Question 1: If R squared=0.64 for the linear
regression equation Y= 3.2X+ 2.8 + error , Where Y (or response
variable) = stopping distance and X (or explanatory variable)=
Velocity which of the following are true?
a.) That 64 % of the variation in Stopping distance is
explained by velocity and the correlation coefficient R= -0.8
b.) That 64 % of the variation in Stopping distance is
explained by velocity and the correlation coefficient R= 0.8
c.) That velocity (X)...