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.

Ages (in years) (x);105876685910

Height (in centimeters) (y): 1271021191119610011487123120

(a) Find the correlation r between the ages and heights of the elementary school students.

Use formular=n(xy)(x)(y)

n(x

2

)(x)

2

n(y

2

)(y)

2

r=n(xy)(x)(y)n(x2)(x)2n(y2)(y)2

Wherexy=8339,x=74,y=1099,x

2

=580,y

2

=122325

xy=8339,x=74,y=1099,x2=580,y2=122325

(b) Find the critical value for r.

(c) Determine if there is a significant linear correlation in the population using a 0.05 significance level.

(d) Clearly state the conclusion.