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Course 35815

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The world's tea producers have in recent months planned and begun to implement a major advertising campaign in Europe to get people to drink more tea.

The monthly figures for their tea imports into Europe (in thousands of pounds) between February and May 2020 are as follows:

4, 4, 7, 11.

Estimate the linear trend equation and give the value of the intercept.

Show the result with one decimal place (like 2.6).

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A local newspaper's readership figures (in thousands) between 2015 and 2019 are as follows:

17, 29, 20, 27, 15.

Determine the index value i_2/4.

Show the result with one decimal place and use a period (.) as the separator (like 100.6).

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A local newspaper's readership figures (in thousands) between 2015 and 2019 have been registered.

The following linear trend equation has been estimated:

$\hat{y}_{t}$ \hat{y}_{t} = 59 - 2t.

Forecast the number of readers for 2022.

Round the result to an integer (whole number, like 4).

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The economists estimated the regression equation that presents how the daily heating cost of a two-bedroom house (Y, in $) depends on the outside temperature (X₁, in Celsius degrees) that day, and the size of the house (X₂, in m²).

They also found the standard error of estimate equal to 6.3

It means that:

None of the listed here

100%

6.3% of changes of the daily heating cost have not been explained by the regression equation

The average heating cost per day is $6.3

The heating cost has been increasing by $6.3 per day, on average

The average difference between the actual heating cost and the predicted heating cost is 6.3%

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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

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 b₀ 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)

Give the value of the coefficient of determination

Show two decimal places and use a period (.) as a separator (like 0.56).

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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