Question

Figure 1. Scatter Plot admission test scores with freshman year Grade Point Average (GPA), r=0.85 000 8 3.5 0 90 % Freshman Year GPA Nu 000 1./ 00 80 OO 20 20 30 80 90 100 40 50 60 70 Admissions Examination Scores 7. Using the available data, what is the reliability of this data. (5 points) 8. Using your response to item seven, what would you expect the reliability of the data to be if the number of test items were increased to 150? (5 points)

Answer 1

1) The Model is reliable. In the given scatter plot the correlation coefficient (r = 0.85) is representing the data is highly postively correlated that means if admissions examination scores increases then Freshman year GPA would increase. The model is reliable with in the range. It is a linear model as well . For interpolation we can use the model to predict the GPA scores and admissions score.

2) Here 7 and 150 are both are not in the model. For Extrapolation, the data values are very furthest so in that situation the model may produce unsatisfactory results therefore the model in Unreliable for 150 because it is beyond the limits.