Answer:
There is a significant linear correlation between the two variables.
Step-by-step explanation:
Given that part time weekly earnings are
x y
10 93
15 171
20 204
20 156
35 261
Correlation 0.9199
H0: r=correlatin =0
Ha: r ≠0
(two tailed test)
r difference = 0.9199
t =
p value < 0.0001
Since p <0.05 we reject null hypothesis
There is a significant linear correlation between the two variables.
Answer:
If is constant, say k
Then,
∴ d ∝ w
Hence, weight is proportional to the density
Step-by-step explanation:
From the question,
Let w denote the weight of the rock in pounds
s denote the size of the rock in cubic inches and
d denote the density of the rock in pounds per cubic inch.
First, we will write the equation connecting w, s, and d.
We get
That is,
Now, given a 48-cubic-inch rock with weight w pounds, to show the proportional relation between the weight and the density, we will write
If is constant, say k
Then,
∴ d ∝ w
Hence, density is proportional to the weight OR weight is proportional to the density