The college admissions office wants to decide if there is a relationship
between IQ scores x and grade-point averages y after the first year.
A sample of 12 students yielded the following data.
| x |
118 |
131 |
125 |
123 |
133 |
136 |
128 |
124 |
116 |
120 |
134 |
131 |
| y |
2.2 |
2.4 |
3.2 |
2.4 |
3.5 |
3.0 |
3.0 |
2.8 |
2.2 |
1.8 |
3.4 |
3.6 |
-
Use a graphing utility to plot the points in a STAT PLOT. What shape
does the plot have?
-
Find the appropriate regression model and graph it in the same window as
the stat plot.
-
Which values of x predict a grade-point average of at least 3.0?
-
Use the graph to write a statement about the accuracy of the model.
If you think the graph indicates that IQ scores are not particularly good
predictors of grade-point average, list other factors that may influence
college performance.
answer
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