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3 years ago

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A real estate agent would like to predict the selling price of a single-family house by predicting the price (in thousands of do

llars) based on the square footage (in 100 square feet). If the LSRL for the data is ŷ = 3.8785x + 18.3538. Predict the price of a 3000 square foot house (in thousands of dollars).

1 answer:

Sveta_85 [38]3 years ago

5 0

Answer:

$134.7088 thousand dollars

Step-by-step explanation:

The given equation of Least Squares Regression Line is

$\hat{y}=3.8785x+18.3538$

where, $\hat{y}$ is predicted selling price of the house (in thousands of dollars) based on the square footage (in 100 square feet).

We need to find the price of a 3000 square foot house (in thousands of dollars).

3000 = 30 × 100

3000 square foot = 30 square footage (in 100 square feet).

Substitute x=30 in the given equation.

$\hat{y}=3.8785(30)+18.3538$

$\hat{y}=116.355+18.3538$

$\hat{y}=134.7088$

Therefore, price of a 3000 square foot house is $134.7088 thousand dollars.

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Answer:

The length of the rectangle is 11 inch and its width is 8 inch.

Step-by-step explanation:

Given:

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Its length = '(x+3)' inch

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Now for rectangle $(R_2)$ its width is decreased by 1 inch and length is doubled,the area $(A_2)$ will increased by 66 sq-inch.

So,

$A_2=A_1+66$

According to the question.

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Plugging the values of $A_2$ in terms of $A_1$ .

⇒ $A_1+66= (x-1)(2x+6)$

Plugging $A_1$ = $(x)(x+3)$ into the equation.

⇒ $(x)(x+3)+66=(x-1)(2x+6)$

⇒ $x^2+3x+66=2x^2+6x-2x-6$

⇒ $x^2-2x^2+3x-6x+2x+6+66=0$

⇒ $-x^2-x+72=0$

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Quadratic formula, (x)= $\frac{\pm b+\sqrt{b^2-4ac} }{2a}$

x= -9 and x= 8

Discarding the negative value.

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Answer:

You can proceed as follows:

Step-by-step explanation:

First solve the quadratic inequality $x^{2}-5x+4\leq 0$ . To do that, factorize, then we have that $(x-4)(x-1)\leq 0$ . This implies that

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or

$x-1 \geq 0\, \text{and}\, x-4\leq 0$

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Observe the image below.

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Step-by-step explanation:

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Step-by-step explanation:

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