A straight line of points going from top left towards bottom right.
"In curvilinear relationships, the data points increase together up to a certain point (like a positive relationship) and then as one increases, the other decreases (negative relationship) or vice versa." A linear relation is very simple: if one variable goes up, the other goes up (positive correlation) or goes down (negative correlation). A curvilinear relation between variables is non-linear (i.e., that cannot be described by a straight line). Basically, anythig not linear is curvilinear.
Scatter-plot shows correlation between two different variables (one on the y-axis, the other on x-axis). If there is linear correlation, the scatter-points form a straight line from zero (origo) to some direction. The more cloud-like distribution the scatter-plot does have, the less those variables in question have correlation or dependence with each other.
To determine if a relationship is linear by examining the words used to describe the variables, look for terms that imply a consistent, proportional change between them, such as "increase," "decrease," or "constant rate." Phrases like "directly proportional" or "linear relationship" suggest a linear connection. Conversely, words indicating variability or non-constant rates, such as "exponential," "quadratic," or "curvilinear," suggest a non-linear relationship. Ultimately, the language used can provide insights into the nature of the relationship.
To determine if a relationship is linear based on word descriptions, look for terms that indicate a constant rate of change, such as "increase by a fixed amount" or "decrease steadily." Phrases like "proportional to" or "directly related" suggest a linear relationship, while words indicating varying rates, such as "exponential," "quadratic," or "nonlinear," imply a non-linear relationship. Additionally, if the variables are described as having a direct correlation without fluctuations, that further supports a linear relationship.
To determine if a relationship is linear by examining the words used to describe the variables, look for terms that imply a constant rate of change, such as "proportional" or "directly related." If the description suggests that one variable increases or decreases consistently with the other, it indicates a linear relationship. Conversely, words indicating a non-constant or varying rate of change, like "exponential" or "quadratic," suggest a nonlinear relationship.
No, the relationship between velocity and height on an incline is not linear. Velocity is influenced by factors like acceleration due to gravity and friction, making it a non-linear relationship.
"In curvilinear relationships, the data points increase together up to a certain point (like a positive relationship) and then as one increases, the other decreases (negative relationship) or vice versa." A linear relation is very simple: if one variable goes up, the other goes up (positive correlation) or goes down (negative correlation). A curvilinear relation between variables is non-linear (i.e., that cannot be described by a straight line). Basically, anythig not linear is curvilinear.
Scatter-plot shows correlation between two different variables (one on the y-axis, the other on x-axis). If there is linear correlation, the scatter-points form a straight line from zero (origo) to some direction. The more cloud-like distribution the scatter-plot does have, the less those variables in question have correlation or dependence with each other.
It tells you that if there were a linear relationship between the two variables, what that relationship would look like and also how much the observations differed from that linear fit.
To determine if a relationship is linear by examining the words used to describe the variables, look for terms that imply a consistent, proportional change between them, such as "increase," "decrease," or "constant rate." Phrases like "directly proportional" or "linear relationship" suggest a linear connection. Conversely, words indicating variability or non-constant rates, such as "exponential," "quadratic," or "curvilinear," suggest a non-linear relationship. Ultimately, the language used can provide insights into the nature of the relationship.
To determine if a relationship is linear based on word descriptions, look for terms that indicate a constant rate of change, such as "increase by a fixed amount" or "decrease steadily." Phrases like "proportional to" or "directly related" suggest a linear relationship, while words indicating varying rates, such as "exponential," "quadratic," or "nonlinear," imply a non-linear relationship. Additionally, if the variables are described as having a direct correlation without fluctuations, that further supports a linear relationship.
think of it like this a negative times a positive don't go together in a relationship they have to have the same attitude
It looks like a straight line increasing as the x-values increase. So basically a line that goes from the bottom left area to the top right area on a graph.
Words such as "proportional to" "increases as" "decreases as", usually give an indication of a linear relation. If there are words like "Square" "power" "inversely proportional" then most likely not linear.
To determine if a relationship is linear by examining the words used to describe the variables, look for terms that imply a constant rate of change, such as "proportional" or "directly related." If the description suggests that one variable increases or decreases consistently with the other, it indicates a linear relationship. Conversely, words indicating a non-constant or varying rate of change, like "exponential" or "quadratic," suggest a nonlinear relationship.
An equation is the same as a function. Identifying a functional relationship from a graph is nearly impossible unless it is trivially simple like a linear relationship.
Relationship between radius and area of a circle is nonlinear. Area = pi * radius^2, so it is like a quadratic. If you graphed radius on the horizontal, and area on the vertical, it would be a parabola (actually a half of a parabola, since you cannot have a negative radius).