An elementary school teacher wants to see if there is a linear correlation between the ages of the elementary school students and their heights. The teacher randomly selects students from her elementary school and recorded the students’ ages and heights below.
Age in years (x) 10 5 8 7 6 6 8 5 9 10
Heights in centimeters (y) 127 102 119 111 96 100 114 87 123 120
a) Find the value of the linear correlation coefficient r (round r to three decimals).
b) Use table A-6 to find critical values for r.
c) Determine if there is significant linear correlation in the population using a 0.05 significance level. Clearly state the conclusion.
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