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Course 35847

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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:

2, 2, 3, 3.

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:

7, 15, 9, 24, 9.

Determine the index value i 2/5 .

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 - 1t.

Forecast the number of readers for 2020.

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 2.5

It means that:

0%
0%
100%
0%
0%
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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)
91184
91684
101986
122687
143589

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

52171
72774
103578
104579
114982

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 b1 parameter.

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

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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)
219
318
618
915
1112

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 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 ($)
316
416
816
814
1010

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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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
317
417
415
613

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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