Scatterplots, Correlation, Simple Linear RegressionIf the correlation between two variables is 0.82, how do you describe the relationship between those two variables using a complete sentence? _______There is a positive, medium to strong relationship. ____x____There is a positive linear relationship. ________There is a positive relationship. ________There is a positive, medium to strong, linear relationship. 2. The following figures show different scatterplots with different shapes and the same correlation of 0.82. From these plots, what is least suitable plot to fit a simple linear regression model and why? a. figure 1 b. figure 2 c. figure 3 answer is figure 2 because a. it has points following an approximately straight-line (linear) pattern. b. it has all the points (except one point) on a straight-line (linear) pattern. c. it has points following a curve (non-linear) pattern. Answer is b. it has all the points (except one point) on a straight-line (linear) pattern 3) Overall, what is important to do before analyzing and fitting a regression model to the data? a. Plot the data b. Nothing special. c. Look at the correlation.answer is c. look at the corelation **Scatter Plot Analysis**In the following section, we will analyze three scatter plots depicted in Figures 1, 2, and 3. Each figure shows data points plotted on an X-Y axis. Here's a detailed breakdown of each graph:### Figure 1**Description:**- The scatter plot displays a set of points that increase linearly but show some scattering around the line.**Key Observations:**- The X-axis ranges from 0 to 15.- The Y-axis ranges from 0 to 14.- Data points suggest a positive linear trend, indicating that as X increases, Y tends to increase.### Figure 2**Description:**- This scatter plot exhibits an apparent quadratic trend.**Key Observations:**- The X-axis ranges from 0 to 15, similar to Figure 1.- The Y-axis ranges from 0 to 10.- Data points start increasing, reach a peak around the middle, and then start decreasing, forming a parabolic shape. This indicates a quadratic relationship between X and Y.### Figure 3**Description:**- The scatter plot here also suggests a linear relationship but appears less scattered than Figure 1.**Key Observations:**- The X-axis ranges from 0 to 15.- The Y-axis ranges from 0 to 12.- Data points generally show a positive trend, similar to Figure 1, but with less variability around the line.### SummaryThese scatter plots are useful for analyzing the relationship between two variables (X and Y). Figure 1 and Figure 3 suggest a linear relationship, whereas Figure 2 indicates a quadratic relationship. Understanding these different types of data distributions is crucial for statistical analysis and prediction modeling.

The correlation between the variables is 0.82. It means that there is a positive, medium to strong,…

If the correlation between two variables is 0.82, how do you describe the relationship between those two variables using a complete sentence? _There is a positive, medium to strong relationship. xThere is a positive linear relationship. There is a positive relationship. __There is a positive, medium to strong, linear relationship. 2. The following figures show different scatterplots with different shapes and the same correlation of 0.82. From these plots, what is least suitable plot to fit a simple linear regression model and why? a. figure 1 b. figure 2 c. figure 3 answer is figure 2 because a. it has points following an approximately straight-line (linear) pattern. b. it has all the points (except one point) on a straight-line (linear) pattern. c. it has points following a curve (non-linear) pattern. Answer is b. it has all the points (except one point) on a straight-line (linear) pattern 3) Overall, what is important to do before analyzing and fitting a regression model to the data? a. Plot the data b. Nothing special. c. Look at the correlation. answer is c. look at the corelation

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P