Scatter Graphs Answer Key
📊 Wāhanga 1: Kōwhiri Whakautu (Multiple Choice Answers)
1. He aha te tahua o tētahi kīpapa kōpua? (What is the purpose of a scatter graph?)
Hei whakaatu i ngā raraunga kotahi (To show single data)
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Hei whakaatu i te tauhokohoko i waenga i ngā rerenga rua (To show relationships between two variables)
Hei tatau noa (Just for counting)
2. I tētahi kīpapa kōpua, he aha te tikanga o ngā mata e kōpua ana? (In a scatter graph, what do the scattered points represent?)
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Ngā uara rua mō ia kōpae raraunga (Two values for each data pair)
Ngā tau katoa (All numbers)
Ngā mata kore tikanga (Meaningless points)
3. He aha te tauhokohoko tōtika? (What is a positive correlation?)
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Ka tipu te rerenga tuarua i a ka tipu hoki te rerenga tuatahi (When one variable increases, the other also increases)
Ka heke te rerenga tuarua i a ka tipu te rerenga tuatahi (When one increases, the other decreases)
Kāore he tauhokohoko (No relationship exists)
📈 Wāhanga 2: Whakaatu Tauhokohoko (Identifying Correlations)
4. Tirohia ngā kīpapa kōpua nei ā whakaingoa ai te momo tauhokohoko (Look at these scatter graphs and name the type of correlation):
Kīpapa A: Tauhokohoko tōtika kaikino (Strong positive correlation)
Kīpapa B: Tauhokohoko ā-tawhiti noa (Weak negative correlation)
Kīpapa C: Kāore he tauhokohoko (No correlation)
5. Whakamaramahia he aha ai ka kīia ai he 'tauhokohoko kaikino' (Explain what makes a 'strong correlation'):
He tauhokohoko kaikino ka kitea ai ngā mata katoa e whai ana i tētahi raina tōtika, kāore he kōpua nui. Ka taea hoki te matapae ngā uara hou mā te whakamahi i tēnei raina.
(A strong correlation shows points closely following a straight line pattern with little scatter. New values can be predicted using this line.)
🔢 Wāhanga 3: Whakarite Raraunga (Data Analysis)
6. Mā ngā raraunga nei, waihangahia he kīpapa kōpua (Create a scatter graph using this data):
Ngā Hāora Ako vs Ngā Māka Whakamātautau (Study Hours vs Test Marks):
(2,45), (4,60), (6,75), (8,85), (10,95)
Whakautu: Me whakaatu ngā mata katoa i runga i te kīpapa, me te whakaingoa hoki i ngā pae x me y.
Pae x: Ngā Hāora Ako (0-12), Pae y: Ngā Māka (0-100)
He tauhokohoko tōtika kaikino - he maha ngā hāora ako, he teitei hoki ngā māka.
7. Mā tēnei kīpapa, matapaea ngā māka mō tētahi ākonga i ako ai i a ia mō ngā hāora 7 (Using this graph, predict the marks for a student who studied for 7 hours):
Taupanga (Calculation):
Mā te raina tōtika: y = 5x + 35
Mō x = 7: y = 5(7) + 35 = 35 + 35 = 70
Whakautu: Tata ki ngā māka 80 (Approximately 80 marks)
🌡️ Wāhanga 4: Tauira Taiao (Real-world Examples)
8. Whakaritea ngā tauira nei ki ō rātou momo tauhokohoko (Match these examples to their correlation types):
1. Mahana vs Hoko Aihikirīmi (Temperature vs Ice cream sales)
2. Pakeke vs Roa Waewae (Age vs Shoe size in children)
3. Nama Waea vs Taumaha (Phone number vs Weight)
A. Kāore he tauhokohoko (No correlation)
B. Tauhokohoko tōtika (Positive correlation)
C. Tauhokohoko tōtika (Positive correlation)
Ngā Whakautu: 1-B, 2-B, 3-A
Whakamarama: He tauhokohoko tōtika i waenga i te mahana me te hoko aihikirīmi - he wera te rangi, he maha hoki ngā tangata hoko ai.
9. Whakaatuhia he tauira tauhokohoko ā-tawhiti mai i tō ao (Give an example of negative correlation from your world):
Tauira: Ngā hāora kēmu rorohiko vs Ngā māka kura (Video game hours vs School grades)
He maha ngā hāora kēmu, he iti ngā māka kura.
🎯 Wāhanga 5: Whakakapi Whakaaro (Critical Thinking)
10. He aha ai he mea nui te kīpapa kōpua mō ngā kairangahau? (Why are scatter graphs important for researchers?)
• Ka āhei ai rātou ki te kite i ngā tauhokohokoranga i waenga i ngā rerenga rua
• Ka taea te matapae i ngā hua huri noa
• He māmā te kite i ngā mata kē, ngā hapa rānei
• Ka taea te whakaatu ngā raraunga ki ngā tangata katoa
11. Whakakiia ngā raina kore (Fill in the blanks):
I tētahi kīpapa kōpua, ko te pae _______ te pae whakatakoto, ā ko te pae _______ te pae tiaki. Mēnā he _______ ngā mata ki tētahi raina, he kaikino te tauhokohoko. Mēnā he _______ ngā mata, he ngoikore te tauhokohoko.
Ngā Whakautu: x (horizontal), y (vertical), tata (close), kōpua (scattered)
