Question: Which Line Represents The Best Fit For The Scatter Plot Data?

How do you calculate the Y-intercept?

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.

The y-intercept of this line is the value of y at the point where the line crosses the y axis..

How do you read a scatter diagram?

You interpret a scatterplot by looking for trends in the data as you go from left to right: If the data show an uphill pattern as you move from left to right, this indicates a positive relationship between X and Y. As the X-values increase (move right), the Y-values tend to increase (move up).

What is a line that best represents the data points on a scatter plot?

A trend line is a straight line that best represents the points on a scatterplot. The trend line may go through some points but need not go through them all. The trend line is used to show the pattern of the data.

How do you find the equation of a trend line?

To find your equation of a trend line, follow these steps.Step 1: Draw your trend line. You begin by drawing your trend line. … Step 2: Locate two points on the line. Your next step is to locate two points on the trend line. … Step 3: Plug these two points into the formula for slope. The formula for slope is this one:

What is the equation of the fitted line?

A linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable. The slope of the line is b, and a is the intercept (the value of y when x = 0).

How do you tell if a regression line is a good fit?

The closer these correlation values are to 1 (or to –1), the better a fit our regression equation is to the data values. If the correlation value (being the “r” value that our calculators spit out) is between 0.8 and 1, or else between –1 and –0.8, then the match is judged to be pretty good.

What are the 3 types of scatter plots?

There are three types of correlation: positive, negative, and none (no correlation). Positive Correlation: as one variable increases so does the other. Height and shoe size are an example; as one’s height increases so does the shoe size. Negative Correlation: as one variable increases, the other decreases.

What is scatter diagram?

A scatter plot (also called a scatterplot, scatter graph, scatter chart, scattergram, or scatter diagram) is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data.

Which graph best represents the line of best fit for the scatter plot?

Explanation: The solution is A. The scatterplot is best represented by a line with a y-intercept of 2 and a slope of 1. Explanation: The solution is y = 2x + 2. The line of best fit has a y-intercept of 2 and a slope of 2.

What is the formula for line of best fit?

The line of best fit is described by the equation ŷ = bX + a, where b is the slope of the line and a is the intercept (i.e., the value of Y when X = 0).

What is the line of best fit on a graph?

Line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points. … A straight line will result from a simple linear regression analysis of two or more independent variables.

How do I find the slope of the line?

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

How can you tell if a scatter plot is positive or negative?

A scatter plot can show a positive relationship, a negative relationship, or no relationship. If the points on the scatter plot seem to form a line that slants up from left to right, there is a positive relationship or positive correlation between the variables.

How do you estimate a scatter plot?

Start a scatter graph by creating an x-axis with the activity data, and a y-axis with the total cost data. Plot each of the historical data points on the graph. Don’t try to connect the points. Instead, look at the points as a whole, and try to mentally split them in half.

Do scatter graphs have a line of best fit?

The ‘line of best fit’ goes roughly through the middle of all the scatter points on a graph. The closer the points are to the line of best fit, the stronger the correlation is.

How do you draw a line of best fit on a scatter plot?

Draw a line of best fit for the scatter plot given. Solution: Plot the age in the x -axis and the income in the y -axis and mark the points. Draw a line through the maximum number of points balancing about an equal number of points above and below the line.

Why is the line of best fit not reliable?

Student: Why does the line of best fit not always touch as many points as possible on a scatter plot? Mentor: A line of best fit represents ALL of the data in a scatter plot so it must include the outliers in order to be an accurate representation. …