In the scatterplots for both sets of data, the independent variable is .
The equation of the trend line is .
The trend line shows negative✔ positiveno
The trend line shows negative✔ positiveno correlation.
Choose the true statements regarding the comparison of the two data sets. Check all that apply.
What kind of associations do you find if you compare the data set of IQ vs. GPA with the data set of IQ vs. SAT? Are GPAs and SAT scores correlated? Explain.
Both data sets (IQ vs. GPA and IQ vs. SAT) show a positive correlation and a strong association. Since IQ scores are positively correlated with both GPAs and SAT scores, it is likely that GPAs and SAT scores are also positively correlated with each other because they are both linked to the same common variable.
Which graph would result in a more accurate prediction?
Predict the GPA for someone with an IQ of 100.
When two data sets are compared, what characteristics will give the most accurate prediction? Explain.
When comparing two data sets, the one with the stronger correlation will provide the most accurate prediction. This is because in a strong correlation, the data points lie closer to the trend line, reducing the margin of error for predictions made using the line of best fit.
The equation of the trend line is ✔ y = 18.8x – 763y = 18.8x + 763y = –18.8x – 763y = –18.8x + 763.
Which were included in your explanation? Check all that apply.
Sample Answer: If the trend line of scatterplots for two data sets are compared, the one more likely to provide an accurate prediction is the one with the stronger correlation. Which did you include in your explanation? Check all that apply.The more accurate prediction would be from the scatterplot showing the stronger correlation.A strong correlation will have data points plotted closer to the trend line.
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