Consider these two data sets: One data set follows a linear pattern and one data set follows a quadratic relation. a. Draw a scatter diagram of each data set. Determine which is linear and which is quadratic. For the linear data, indicate whether the relation shows a positive or negative slope. For the quadratic relation, indicate whether the quadratic function of best fit will open up or down. b. For the linear data set, find the line of best fit. c. For the quadratic data set, find the quadratic function of best fit.
Consider these two data sets: One data set follows a linear pattern and one data set follows a quadratic relation. a. Draw a scatter diagram of each data set. Determine which is linear and which is quadratic. For the linear data, indicate whether the relation shows a positive or negative slope. For the quadratic relation, indicate whether the quadratic function of best fit will open up or down. b. For the linear data set, find the line of best fit. c. For the quadratic data set, find the quadratic function of best fit.
One data set follows a linear pattern and one data set follows a quadratic relation.
a. Draw a scatter diagram of each data set. Determine which is linear and which is quadratic. For the linear data, indicate whether the relation shows a positive or negative slope. For the quadratic relation, indicate whether the quadratic function of best fit will open up or down.
b. For the linear data set, find the line of best fit.
c. For the quadratic data set, find the quadratic function of best fit.
Definition Definition Representation of the direction and degree of correlation in graphical form. The grouping of points that are plotted makes it a scatter diagram. A line can be drawn showing the relationship based on the direction of points and their distance from each other.
Expert Solution & Answer
To determine
To graph:
a. The scatter diagram for both the given sets, indicate the slope or if it opens up or down.
b. Find the line of best fit for the linear data.
c. Find the quadratic function of best fit.
Answer to Problem 11CT
a. The Set A has a linear relation with negative slope.
The Set B is having a quadratic relation where the function of best fit opens upwards.
b. The line of best fit for Set A is
c. The function of best fit the Set B is
Explanation of Solution
Given:
The given sets of data are
Graph:
The scatter diagram of Set A is
The scatter plot of Set B is
Interpretation:
We can draw the scatter diagram using Microsoft Excel.
Enter the values in the Excel work sheet and then select the Scatter plot from insert option.
Then to draw the functions of best fit, choose the Trend lines from the layout options.
a. The Set A has a linear relation with negative slope.
The Set B is having a quadratic relation where the function of best fit opens upwards.
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