![]() Use the scatter plot to answer the following questions.Data are pieces of information, like the number of books checked out at the library or reference questions asked. The following scatter plot shows the hours of exercise per week and resting heart rates for various 30-year-old males. If the price of stock B is $47.75, what would you expect the price of stock A to be?.If the price of stock A is $12.00, what would you expect the price of stock B to be?.How would you describe the correlation between the prices of the 2 stocks?.Use the scatter plot to answer the following questions. The following scatter plot shows the closing prices of 2 stocks at various points in time. ![]() If a correlation exists between the values of m and n, describe the correlation (strong negative, weak positive, etc.). Plot the following points on a scatter plot, with m as the independent variable and n as the dependent variable. Describe the correlation of each of the following graphs:Ĥ.What term is used to define the connection between 2 data sets?.What is the correlation of a scatter plot that has few points that are not bunched together?.The following sketches represent some other possible outcomes when there is no correlation between data sets: In the sales of newspapers and the temperature, there was no connection between the 2 data sets. As a result, any values that you choose from this line are not very accurate−the values are more of a ballpark figure. A line of best fit can be used to make estimations from the graph, but you must remember that the line of best fit is simply a sketch of where the line should appear on the graph. The edge of the spaghetti can be traced to produce the line of best fit. Another useful tool is a stick of spaghetti, since it can be easily rolled and moved on the graph until you are satisfied with its location. Using a clear plastic ruler makes it easier to meet all of these conditions when drawing the line. The line of best fit must be drawn so that the sums of the distances to the points on either side of the line are approximately equal and such that there are an equal number of points above and below the line. When correlation exists on a scatter plot, a line of best fit can be drawn on the graph. When the correlation is weak, the points are more scattered and not as concentrated. The 2 sketches that show a strong correlation have points that are bunched together and appear to be close to a line that is in the middle of the points. When the correlation is negative, the line slopes downward to the right. If you look at the 2 sketches that represent a positive correlation, you will notice that the points are around a line that slopes upward to the right. The following scatter plots will help to enhance this concept. The correlation between 2 sets of data can be positive or negative, and it can be strong or weak. There is no connection between the number of newspapers sold and the temperature.Īnother term used to describe 2 sets of data that have a connection or a relationship is correlation. ![]() The following scatter plot shows the sales of a weekly newspaper and the temperature: The connection is obvious−when the price of peaches was high, the sales were low, but when the price was low, the sales were high. The following scatter plot shows the price of peaches and the number sold: If a relationship does exist between the 2 sets of data, it will be easy to see if the data is plotted on a scatter plot. The quantity that is plotted on the x-axis is the independent variable, and the quantity that is plotted on the y-axis is the dependent variable. The data is plotted on a graph such that one quantity is plotted on the x-axis and one quantity is plotted on the y-axis. A scatter plot is often used to investigate whether or not there is a relationship or connection between 2 sets of data. This type of graph is called a scatter plot. The general direction of the data can be seen, but the data points do not all fall on a line. Often, when real-world data is plotted, the result is a linear pattern. ![]()
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