The following data represent the weight of a child riding a bike...

The following data represent the weight of a child riding a bike and the rolling distance achieved after going down a hill without pedaling. 

Weight (lbs.) Rolling Distance (m.)

59 26

83 43

97 49

56 20

103 65

87 44

88 48

91 42

52 39

63 33

71 39

100 49

89 55

103 53

99 42

74 33

 

Find the 95% prediction interval for rolling distance when a child riding the bike weighs 106 lbs. (round to 4 decimal places)