Three scatter plots are shown below. Use them to answer the questions below the graphs.A. For one of the three scatter plots, r = –0.83. Which one do you think it is?Explain.B. Which graph has a least-squares fit line with the equation y = 0.6x + 1.75?Explain.
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Three scatter plots are shown below. Use them to answer the questions below the graphs.A. For one of the three scatter plots, r = –0.83. Which one do you think it is?Explain.B. Which graph has a least-squares fit line with the equation y = 0.6x + 1.75?Explain.
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3. Set r to 0.00. Click Same r several times.A. Do all the least-squares fit lines for these scatter plots have the same slope?B. Do all the least-squares fit lines have the same y-intercept?C. What do all the least-squares fit lines have in common?When r = 0, there is no correlation in the data. This means that the value of y doesnot seem to be at all related to the value of x
D. Set r to –0.90. Click Same r several times. What do the least-squares fit lines forthese scatter plots have in common?A negative r indicates a negative correlation: as x increases, y tends to decrease
1. In a data set with a strong linear correlation, the points in the scatter plot approximate a line.Turn on Show least-squares fit line. The least-squares fit line is the “best-fit” line, or theline that most closely “fits” the shape of the data.A. When r = 1, how are the points in the scatter plot related to the least-squares fit line?B. Slowly decrease r. How does this affect where the points are in relation to the line?
Choose the most likely correlation value for this scatterplot:r = 0.436r = 0.100r = −0.897r = 0.995r = −0.575
A scatterplot with a linear model is shown.Which best describes the linear model? A. The linear model does not describe the data well because there are not the same amount of points above the line as below the line. B. The linear model describes the data well because the points are scattered above and below the line. C. The linear model does not describe the data well because it does not go through any of the points. D. The linear model describes the data well because some of the points are close to the line.
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