QUESTION IMAGE
Question
and use it to make predictions
en x = 12, y = _________
en y = 18, x = _________
17
a when x = 14, y = _________
b when y = 20, x = _________
plot
e of
polar
eir
nds
to
ns 18
- predict the age of a polar that weighs 50 lbs
19 predict the weight of a 10 - month - old polar bear
- a polar bear weighs 42 lbs, and jamie estim
is between 4 - 5 months old is his estimation re
or why not?
predictions and answer questions
Step1: Analyze top-left scatter plot
For $x=12$, find the point at $x=12$: $y=175$
For $y=180$, find the point at $y=180$: $x=15$
Step2: Analyze top-right scatter plot (17a-b)
a. For $x=14$, find the point at $x=14$: $y=14$
b. For $y=20$, find the point at $y=20$: $x=16$
Step3: Fit trend line for polar bear plot
Draw a line through the center of the points. The line follows $y=8x+2$ (approximate, from slope $\frac{80-10}{9-0}=8$, intercept 2)
Step4: Solve Q18 (weight=50 lbs)
Set $y=50$, solve for $x$:
$50=8x+2$
$8x=48$
$x=6$
Step5: Solve Q19 (age=10 months)
Set $x=10$, calculate $y$:
$y=8(10)+2=82$
Step6: Evaluate Q20 (42 lbs, 4-5 months)
Use trend line: $42=8x+2$
$8x=40$
$x=5$. The estimate is reasonable, as $x=5$ falls in 4-5 months.
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Top-left plot:
When $x=12$, $y=175$
When $y=180$, $x=15$
17.
a. When $x=14$, $y=14$
b. When $y=20$, $x=16$
- 6 months
- 82 lbs
- Yes, his estimation is reasonable. Using the trend line, a 42 lbs polar bear is 5 months old, which falls within his 4-5 month range.