In the scatterplots for both sets of data, the independent variable is ✔ IQGPASATnot determinable.
Use the regression calculator to compare students’ SAT scores based on their IQ scores.
Use the regression calculator to compare students’ grade point averages (GPAs) based on their IQ scores.
The equation of the trend line is ✔ y = 0.04x – 0.77y = 0.04x + 0.77y = –0.04x – 0.77y= –0.04x + 0.77.
Use the regression calculator to compare students’ SAT scores based on their IQ scores.
The equation of the trend line is ✔ y = 18.8x – 763y = 18.8x + 763y = –18.8x – 763y = –18.8x + 763.
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 were included in your explanation? Check all that apply.
Which graph would result in a more accurate prediction?
Predict the GPA for someone with an IQ of 100.2.8✔ 3.03.23.4
Given these two data sets, IQ-GPA and IQ-SAT, how would you predict Justin’s SAT score based on his GPA? Explain.
To predict Justin's SAT score from his GPA, I would first use the trend line equation for the IQ-GPA data set to find the IQ score that corresponds to his specific GPA. Once I have that IQ value, I would use the trend line equation for the IQ-SAT data set to calculate the SAT score predicted for that IQ.
Which statement(s) did you include in your response? Check all that apply.
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.
Which did you include in your explanation? Check all that apply.
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