1. Fill in the blank: For these data, temperature values that are less than the
ID: 3133854 • Letter: 1
Question
1. Fill in the blank: For these data, temperature values that are less than the mean of the temperature values tend to be paired with coffee sales values that are _____ the mean of the coffee sales values.
Choose one (greater than, less than)
2. Fill in the blank: According to the regression equation, for an increase of one degree in temperature, there is a corresponding _____ of 11.22 dollars in coffee sales.
Choose one ( increase, decrease)
3. What was the observed coffee sales value (in dollars) when the temperature was 72.1 degrees Fahrenheit? ______
4. From the regression equation, what is the predicted coffee sales value (in dollars) when the temperature is 72.1 degrees Fahrenheit? (Round your answer to at least one decimal place.)_____
Managers of an outdoor coffee stand in Coast City are examining the relationship between (hot) coffee sales and daily temperature, hoping to be able to predict a day's total coffee sales from the maximum temperature that day. The bivariate data values for the coffee sales (denoted by , in dollars) and the maximum temperature (denoted by , in degrees Fahrenheit) for each of fifteen randomly selected days during the past year are given below. These data are plotted in the scatter plot in Figure 1.
Temperature, x(in degrees Fahrenheit) Coffee sales, y
(in dollars) 66.7 1737.0 46.6 1776.1 48.1 2036.0 39.0 2019.2 75.0 2001.9 63.2 1829.0 82.5 1533.9 57.7 1942.9 38.9 2228.2 51.6 2194.4 74.2 1539.1 47.8 2174.3 56.6 1605.4 73.0 1652.2 72.1 1904.2 After deciding on the appropriateness of a linear model relating coffee sales and maximum temperature, the managers calculate the equation of the least-squares regression line to be . This is the line shown in Figure 1.
Answer the following:
Explanation / Answer
1. Fill in the blank: For these data, temperature values that are less than the mean of the temperature values tend to be paired with coffee sales values that are greater than the mean of the coffee sales values.
Choose one (greater than, less than)
2. Fill in the blank: According to the regression equation, for an increase of one degree in temperature, there is a corresponding decrease of 11.22 dollars in coffee sales.
Choose one ( increase, decrease)
3. What was the observed coffee sales value (in dollars) when the temperature was 72.1 degrees Fahrenheit?
Answer = 1904.2
4. From the regression equation, what is the predicted coffee sales value (in dollars) when the temperature is 72.1 degrees Fahrenheit? (Round your answer to at least one decimal place.)_____
Predicted coffee sale = 2546.06 – 11.22*72.1 = 1737.098
Answer = 1737.098
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