The data below are the temperatures on randomly chosen days during a summer class and the number of absences on those days. Which is the best predicted value for y given x=92? Assume that the variables x and y have a significant correlation.
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Given : temperatures on randomly chosen days during a summer cla ss and the number of absences on those days.
To Find : best predicted value for y given x=92
Solution:
x y
72 3
85 7
91 10
90 10
88 8
98 15
75 4
100 15
80 5
Using graphing calculator line of best fit is :
y = 0.448x - 30.26
R² = 0.960 close to 1
Substitute
x = 92
y = 0.448(92) - 30.26
=> y = 10.956
=> y ≈ 11
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