SHOW WORK!!!

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. Ages (in years) (x); 10 5 8 7 6 6 8 5 9 10 Height (in centimeters) (y): 127 102 119 111 96 100 114 87 123 120 (a) Find the correlation r between the ages and heights of the elementary school students. "(2 xyl-(E KHZ y) M): -(E aw); (zyr Where 2 xy = 8339, Z x = 74, z y = 1099, Z x2 = 580, 2 y2 = 122325 Use formula r = (b) Find critical value for r. (c) Determine if there is signicant linear correlation in the population using 0.05 signicance level. (d) Clearly state the conclusion