WorksheetsQuizz Correlation and Regression_4i
Total questions: 12
Worksheet time: 50mins
1. What is the importance of correlation?
is the entire equation with all of the data points that are represented with a line.
expresses the relationship in the form of an equation.
an analysis is to see whether two measurement variables co-vary and to quantify the strength of the relationship between the variables.
is a return to earlier stages of development and abandoned forms of gratification belonging to them, prompted by dangers or conflicts arising at one of the later stages.
2.What is a perfect positive correlation?
A perfectly positive correlation means that 100% of the time, the variables in question move together by the exact same percentage and direction.
A positive correlation can be seen between the demand for a product and the product's associated price.
is a relationship between two variables in which one variable increases as the other decreases, and vice versa.
the relationship that exists between two variables is exactly opposite all of the time.
3.How do you calculate a regression line?
The formula for the best-fitting line (or regression line) is y = mx + b
The formula for the best-fitting line (or regression line) is y = jx + b
The formula for the best-fitting line (or regression line) is y = zx + b
The formula for the best-fitting line (or regression line) is y = nx + b
The formula for the best-fitting line (or regression line) is y = sx + b
4.Given that;
n=41,
y=10,
x=12,
Σy2=64,
Σx2=400,
Σxy=100,
(a) Find the regression equation.
y = -0.712 + 0.876x
y = -0.812 + 0.876x
y = -0.512 + 0.876x
y = -0.612 + 0.876x
y = -0.412 + 0.876x
5.Given that;
n=41,
y=10,
x=12,
Σy2=64,
Σx2=400,
Σxy=100,
(a) Predict the value of y,given x = 10.
8.174
8.347
8.248
8.447
8.324
6.The manager of a sports shop believes that the customer's spending, Y (RM'00) per month depends on the income ( RM'000). A study on seven customers gives the following results.
n=7 ;
𝜮X=14 ;
𝜮x2=371;
𝜮XY=798;
𝜮Y=30
Find the simple linear regression equation of Y on X using the least-squares method.
Y=-0.0183 + 2.152X
Y=-0.0173 + 2.142X
Y=-0.0165 + 2.152X
Y=-0.0197 + 2.152X
7.What are the 5 types of correlation?
Pearson Correlation Coefficient.
Linear Correlation Coefficient.
Sample Correlation Coefficient.
Population Correlation Coefficient.
8.Pearson’s Product-Moment Correlation
1 indicates a perfect positive correlation.
-1 indicates a perfect negative correlation.
0 indicates that there is no relationship between the different variables.
9.Strong Positive Correlation
10.p=-1
11.Correlation, in the finance and investment industries, is a statistic that measures the degree to which two securities move in relation to each other. Correlations are used in advanced...............
portfolio management,
correlation coefficient,
12.What Is Correlation?
Correlation refers to the statistical relationship between two entities.
A negative correlation would be 1. This means the two variables moved either up or down in the same direction together.
A positive correlation is -1. This means the two variables moved in opposite directions.
