7 July, 20:48

# The table below shows the lengths and weights of six dolphins at an aquarium. Use the data from Pax and Snowflake tocreate a linear model that predicts the weight (y) of a dolphin given its length (X). Which dolphin's weight differs most from thvalue predicted by this model?NameSnowflakeShadowCorkyPaxJoJoBlazeLength (ft)8.2748.47.65.86.8Weight (lb)549501557519460488BlazeJOJOCorkyShadow

+1
1. 7 July, 20:54
0
The dolphin's weight that differs most from the value predicted by this model is JoJo's (31 lb of difference)

Step-by-step explanation:

Name Length (ft) Weight (lb)

Snowflake 8.2 549

Corky 8.4 557

Pax 7.6 519

JoJo 5.8 460

Blaze 6.8 488

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?

Let's elaborate the model this way:

Snowflake's length - Pax's length = 8.2 - 7.6 = 0.6 ft

Snowflake's weight - Pax's weight = 549 - 519 = 30 lb

Ratio = 30/0.6 = 50 lb/ft

This means that for every foot of length, the dolphin has a variable weight of 50 lb. However, if we multiply the ratio by the actual length of the two dolphins, we will have these results:

Snowflake = 50 * 8.2 = 410

Pax = 50 * 7.6 = 380

What is the common difference in both cases?

Snowflake = Actual weight - Ratio * Length = 549 - 410 = 139

Pax = Actual weight - Ratio * Length = 519 - 380 = 139

The common difference is 139. Therefore, the linear model that predicts the weight (y) of a dolphin given its length (X) is:

y = 139 + 50x

Now, let's use the linear equation or model to calculate the weight of the remaining four dolphins, as follows:

Blaze y = 139 + 50 * 6.8 = 479 ⇒ difference of 9 lb (488 - 479)

JoJo y = 139 + 50 * 5.8 = 429 ⇒ difference of 31 lb (460 - 429)

Corky y = 139 + 50 * 8.4 = 559 ⇒ difference of 2 lb (559 - 557)

Shadow y = 139 + 50 * 7.4 = 509 ⇒ difference of 8 lb (509 - 501)

The dolphin's weight that differs most from the value predicted by this model is JoJo's (31 lb of difference)
2. 7 July, 20:54
0
jojo on edge