There are 15,958,866 adults in a region. If a polling organization randomly selects 1235 adults without replacement, are the s
1 answer:
Answer:
The selections are dependent.
Yes, they can be treated as independent (less than 5% of the population).
Step-by-step explanation:
Since the selections are made without replacement, each selection affects the outcome of the next selection and, therefore, the selections are dependent.
Although they are dependent, the selections can be treated as independent if the sample size is no more than 5% of the total population. In this case, the sample size is 1235 adults out of a population of 15,958,866 adults. The percentage represented by the sample is:
Thus the selections can be treated as independent for the purposes of calculations.
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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!
