Define Bivariate Data
The study of two variables at the same time to determine if a relationship exists between them.
Numerical data is split up into 2 types of data. They are;
Discrete and Continuous
Calculate the percentage of Females surveyed
=20/32= 0.625=62.5%
What does this formula calculate?
The b value Or the gradient in the least squares regression line y=a+bx
When describing a relationship between 2-variables you use 4 characteristics. They are:
Direction
Unusual
Strength
Form
What is the name for the r-value
The correlation coefficient
Categorical data is split up into 2 types of data. They are;
Nominal and Ordinal
Calculate the percentage of blue-eyed males.
=12/32=0.375=37.5%
What does this formula calculate?
The a value OR the y-intercept in the line of regression y=a+bx
Is a linear model appropriate?
yes - random residuals
What is the name of R2
The coefficient of determination
Give an example of ordinal data
A category that is ordered
Hotel Ratings
Review Ratings
Level of agreement
Likeability
Grades
Calculate the percentage of males who are brown-eyed.
=2/12=0.1667=16.67%
What do each of these variables stand for?
Standard deviation of x
Standard deviation of y
Mean of x
Mean of y
Describe the scatter plot in terms of strength, direction and form.
Strength - Strong
Direction - Positive
Form - Linear
between mass of car and braking distance
What are the 2 main classifications of data
Numerical and Categorical
Is the following example Univariate or Bivariate data?
The weekly income of year 12 students
Univariate
Were column or row percentages calculated?
Row
This formula calculates what?
The coefficient of determination (r)
What am I determining if using the following steps
The least-squares line
A regression line
Line of best fit
No
Is the following example Univariate or Bivariate data?
The length and mass of new born babies
Bivariate
a) Is there an association between the variables?
b) State what it is.
a) Yes
b) There is a strong association between females and blue eyes (80%)
sqrt(r^2)
State the name of the variable is this equal to.
The coefficient of correlation (r)
Explain how to calculate the residual values missing given the least-squares regression line.
Substitute the x-values in the line of regression and then use