The table below shows the lengths and weights of six dolphins at an aquarium. Use the data from Pax and Snowflake to create a linear model that predicts the weight (y) of a dolphin given its length (x). Which dolphin’s weight differs most from the value predicted by this model? Name Length (ft) Weight (lb) Snowflake 8.2 549 Shadow 7.4 501 Corky 8.4 557 Pax 7.6 519 JoJo 5.8 460 Blaze 6.8 488 Blaze JoJo Corky Shadow
Answers
Given : The table showing the lengths and weights of six dolphins at an aquarium.
To find : linear model that predicts the weight (y) of a dolphin given its length (x). Which dolphin’s weight differs most from the value predicted by this model
Solution:
Lengt (ft) Weight (lb)
Snowflake 8.2 549
Shadow 7.4 501
Corky 8.4 557
Pax 7.6 519
JoJo 5.8 460
Blaze 6.8 488
Using the data from Pax and Snowflake
Slope = (549 - 519)/(8.2 - 7.6)
= 30/0.6
= 50
y = 50x + c
=> 549 = 50(8.2) + C
=> 549 = 410 + C
=> C = 139
y = 50x + 139
Lengt (ft) Weight (lb) y = 50x + 139 Deviation
Snowflake 8.2 549 549 0
Shadow 7.4 501 509 8
Corky 8.4 557 559 2
Pax 7.6 519 519 0
JoJo 5.8 460 429 31
Blaze 6.8 488 479 9
y = 50x + 139 predicts the weight (y) of a dolphin given its length (x).
JoJo Dolphin weight differs most from the value predicted by this model
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