ASSIGNMENT

Assignment

Assignment

Section 1a

Pearson-Product Moment Correlation

 

Nitrogen Oxides (NOX)

Carbon Dioxide(CO2)

Nitrogen Oxides (NOX)

1

 

Carbon Dioxide(CO2)

0.919682254

1

The Y Axis Intercept

 

Coefficients

Intercept

-670.344761

Slope

690.9590476

The Slope

 

Coefficients

Intercept

-670.344761

Slope

690.9590476

Section 1b

1. Pearson-Product Moment Correlation

The most common numerical index used to measure a correlation is the "coefficient of Pearson." The Pearson coefficient (also called correlation coefficient product-moment), is represented by the symbol 'r' and provides a numerical measure of the correlation between two variables.

The Pearson correlation coefficient (r) is measured on a scale from 0 to 1, both positive and negative direction. A value of "0" indicates no linear relationship between the variables. A value of "1" or "-1" indicates, respectively, a perfect positive correlation or perfect negative between two variables. Normally, the value will be located somewhere between 0 and 1 or 0 and -1.

A negative correlation is less strong than positive correlation. For example, 0.5 is as 'big' or strong as of -0.5. The positive and negative signs indicate only if the value of a variable increases or decreases, respectively, with the increase in the value of another variable.

According to the findings of our data set, the value Pearson-Product Moment Correlation is 0.919682254 which indicates a strong and positive relationship among the two variables. The change in one variable may affect the presence of other variable. So it can be said that emissions of Nitrogen Oxides (NOX) and Carbon Dioxide (CO2) from international shipping are strongly correlated.

2. Y axis intercept

In coordinate geometry, the "y"-intercept is the y-value of the point where the graph of a function or relation intercepts the "y" axis-of the coordinate system.

In other words, the y-intercept of a function is the y-value of the point at which it intersects the line "x" = 0 (the "y"-axis). Thus, if the function is specified in form y = f (x), the y-intercept is easy to find by calculating f (0). For example, in linear equations that are in the "slope-intercept" form of y = mx + b, the value of "b" is the y-intercept.

If the function is undefined at "x = 0", for example "y = cot (x)", it has no "y"-intercept. If the relationship is in the form "f" ("x", "y") = 0, or in the form of parametric equation s, the corresponding equation (Equations) must be solved. As a result, some two-dimensional mathematical relationships such as circles, ellipses, and hyperbolas can have more than one "y"-intercept. A function of form "y" = "f" ("x"), however, has at most "one" "y"-intercept.

The y-intercept value which is calculated for the given data set is -670.344761, which indicates that for every increase by 1 in our input data, a decrease of 670.344761 is observed in output variable.

3. Slope

The slope is the relationship between the gap that must be overcome and the horizontal distance that we travel, which is equivalent to the tangent of the angle of the line to measure the x-axis, which is the plane. The horizontal distance measured on the map. The slope is expressed in percent or degrees.

The equation of line y = ax + b, the slope, also known as slope of ...