Answer:
Given:
Step-by-step explanation:
Identity used:
Which set of ordered pairs does not represent a function?
1 answer:
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Answer:
Step-by-step explanation:
Hello!
You have two study variables:
Dependent variable
Y: Profit of the firm in the U.S.
Independent variable
X: Market capitalization of the firm
a.
See the scatterplot in the attachment.
Looking at the graphic it seems that there is a positive regression between the profit and the market capitalization, meaning that every time the market capitalization of the firm increases, the profit of this firm also increases. But not all the "firms" adjust linearly, so I wouldn't expect the regression to be powerful.
b.
The regression model is E(Yi)= α + βXi
Where the parameters of the model are α and β, these two parameters are to be estimated to estimate the regression equation. The estimator for α is a and the estimator for β is b:
a= Y[bar] - bX[bar]
b= [∑XY-(∑X*∑Y)/n]/[∑X²-(∑X)²/n]
I'll use a statistic software to calculate the estimated regression equation:
^Yi= a + bXi
^Yi= 325.89 + 0.07Xi
c.
You need to predict the value of Y (Profit) given a value of X= 70721.3 (million). To make this prediction you have to use the estimated equation:
^Yi= 325.89 + 0.07Xi
^Yi= 325.89 + 0.07(70721.3)= 5276.381
The predicted profit for a market capitalization value of 70,721.3 is 5276.381 million.
I hope this helps!
Answer:
The attorney worked for 32.5 hours in order for his total bill to be $3,500.
Step-by-step explanation:
Let's set up an equation with some variables:
= hours of service
= total bill
Plugging in our given values, we get:
And solving for , the hours the attorney worked, we get: