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Course 35815

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The President of the ABC Manufacturing Co. believes that the amount of electrical power used in his plant depends on the outside temperature during the day, and the number of units produced that day.

A random sample of 5 days was selected.

The power usage (Y, in thousands of kilowatt hours of electricity), the production on that date (X1, in thousands of units), and the temperature (X2, in °F) have been recorded:

Power

used

Temperature

Units

produced

82575
92877
102880
133181
133382

Find the linear regression equation that presents how the power usage depends on the outside temperature and the number of units produced.

Give the value of the b2 parameter.

Show two decimal places and use a period (.) as a separator (like 2.56).

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Run a regression of profits (Y) against revenues (X1) and number of employees (X2) for the airline industry using the data in the following table:

Profits ($ billions)
Revenues ($ billions)
Employees (thousands)
21778
52780
63184
83385
104087

Give the value of the (multiple) standard error of estimate.

Show two decimal places and use a period (.) as a separator (like 2.56).

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The economists want to analyze the relationship between outside temperature and heating cost.

During one week in March they measured the average daily temperature X and the amount of money

required daily to purchase the fuel needed to heat a two-bedroom house (Y). The results are as follows:

Celsius temperatureCost of fuel to heat the house ($)
118
418
518
815
913

Run the linear regression to present how the heating cost depends on the temperature

Calculate the standard error of estimate for this regression equation

Show two decimal places and period (.) as a separator (like this: 0.45).

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The economists want to analyze the relationship between outside temperature and heating cost.

During one week in March they measured the average daily temperature X and the amount of money

required daily to purchase the fuel needed to heat a two-bedroom house (Y). The results are as follows:

Celsius temperatureCost of fuel to heat the house ($)
320
419
515
612
910

Calculate the coefficient of correlation between the temperature and the heating cost.

Show two decimal places and period (.) as a separator (like this: 0.45).

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According to basic economics as the price of a product decreases, the demand for it will increase.

Listed below is the number of units demanded (Y variable, in thousands) and the price (X variable, in $):

Price (in $)Demand (in thousands of units)
318
316
914
1015
710

Estimate the linear regression equation, that presents how the demand for the product depends on the price of the product.

Show the regression coefficient of this equation. Use two decimal places and period (.) as a separator (like this\: 0.45).

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The are 5 groups taking Statistics course at CUE in the summer semester. The numbers of students in these groups are as follows:

22, 23, 18, 32, 23

The median of these data is:

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The lengths of service (in years) of a sample of five employees are given below:

20, 27, 35, 19, 29

The kurtosis of these data is:

(show two decimal places, for example: 1.23)

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The lengths of service (in years) of a sample of five employees are given below:

22, 23, 18, 32, 23

The skewness of these data is:

(show two decimal places, for example 1.23)

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