Pedro works as a newspaper deliverer. He receives a base pay plus an additional amount per newspaper delivered. Last week, Pedro
2 answers:
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Answer:
r = 0.9825; good correlation.
Step-by-step explanation:
One formula for the correlation coefficient is
The calculation is not difficult, but it is tedious.
1. Calculate the intermediate numbers
We can display them in a table.
<u> </u><u>x</u> <u> y </u> <u> xy </u> <u> x² </u> <u> y² </u>
-3 -40 120 9 1600
1 12 12 1 144
5 72 360 25 5184
<u> 7</u> <u>137</u> <u> 959</u> <u>49</u> <u>18769 </u>
Σ = 10 181 1451 84 25697
2. Calculate the correlation coefficient
The closer the value of r is to +1 or -1, the better the correlation is. The values of x and y are highly correlated.
Answer:
When x = 15, y= 2
When y= 10, x= 3
Step-by-step explanation:
This is a question in inverse proportion. In this proportion, an increase in one quantity would lead to a decrease in the other and vice versa.
We are to complete the table using the relationship between x and y.
Given:
y is inversely proportional to x = y ∝ 1/x
∝ = proportional to
y ∝ 1/x
y = k × 1/x
Where k = constant of proportionality
To understand the relationship between y and x, we need to find the value of k.
y = k × 1/x
From the table,
When x = 6, y = 5
5 = k × 1/6
5 = k/6
k = 6×5 = 30
y = 30 × 1/x
y = 30/x
The above relationship would enable us find the missing parts.
When x = 15, y= ?
y = 30/15
y = 2
When y= 10, x= ?
10 = 30/x
10x = 30
x = 30/10
x= 3
The height of a baseball thrown from the catcher to first base is modeled by the function , where h is the height of the ball measured in feet and t is the time since being thrown, measured in seconds
To find out height of the ball at 10 seconds, we plug in 10 for t
h(10)=4.2 feet
the height of the ball at 10 seconds= 4.2 feet