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bogdanovich [222]
3 years ago
8

Suppose the manager of a gas station monitors how many bags of ice he sells daily along with recording the highest temperature e

ach day during the summer. The data are plotted with temperature, in degrees Fahrenheit (°F), as the explanatory variable and the number of ice bags sold that day as the response variable. The least squares regression (LSR) line for the data is Y^ = −114.05+2.17X. On one of the observed days, the temperature was 82 °F and 66 bags of ice were sold. Determine the number of bags of ice predicted to be sold by the LSR line, Y^, when the temperature is 82 °F. Enter your answer as a whole number, rounding if necessary. Y^ = 34 ice bags Using the predicted value you just found, compute the residual at this temperature. residual =
Mathematics
1 answer:
Vlad1618 [11]3 years ago
3 0

Our model is

\hat{y} = 2.17 x + -114.05

When x=82 degrees F,

\hat{y} = 2.17 (82) + -114.05 = 63.89

We round up to

Answer: 64 bags

Not sure why it says y^=34 in the question; I'm ignoring that.

The residual is the difference between the actual y and the predicted y,

e = y - \hat{y} = 66 - 64 = 2

Answer: 2

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Riley has a farm on a rectangular piece of land that is 200200200 meters wide. This area is divided into two parts: A square are
777dan777 [17]

Answer:

The inequality that models the situation for her to have money to save is

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L > 60 meters

Step-by-step explanation:

The length of her farm = L meters

The farm where she grows avocados is of square dimension

Area of the farm = L × L = L²

The piece of land is 200 m wide.

Total area of the piece of land = 200 × L = (200L) m²

If the area of her farm = L²

Area of the side where she lives will be

(Total area of the land) - (Area of the farm)

= (200L - L²)

= L(200 - L)

Every week, Riley spends $3 per square meter on the area where she lives, and earns $7 per square meter from the area where she grows avocados.

Total amount she earns from the side she grows the avocados = 7 × L² = 7L²

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For her to save money, the amount she earns must be greater than the amount she spends, hence the inequality had to be

(Amount she earns) > (Amount she spends)

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L > 60 meters

Hope this Helps!!!

7 0
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