Respuesta :
Answer:
$134.7088 thousand dollars
Step-by-step explanation:
The given equation of Least Squares Regression Line is
[tex]\hat{y}=3.8785x+18.3538[/tex]
where, [tex]\hat{y}[/tex] 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.
[tex]\hat{y}=3.8785(30)+18.3538[/tex]
[tex]\hat{y}=116.355+18.3538[/tex]
[tex]\hat{y}=134.7088[/tex]
Therefore, price of a 3000 square foot house is $134.7088 thousand dollars.
By putting values in given equation we got that If the LSRL for the data is ŷ = 3.8785x + 18.3538. then the price of a 3000 square foot house (in thousands of dollars) is 134.7088
What is linear equation ?
Linear equation is equation of one degree
Here given that
LSRL for the data is ŷ = 3.8785x + 18.3538
Where ŷ is predicted selling price of the house in thousands of dollars based on the square footage in 100 square feet .
Now we have to find price of a 3000 square foot house
We know 3000 = 30 [tex]\times 100[/tex]
So price of a 3000 square foot house can be calculated as
ŷ = 3.8785(30) + 18.3538
ŷ=116.355+18.3538
ŷ=134.7088
By putting values in given equation we got that If the LSRL for the data is ŷ = 3.8785x + 18.3538. then the price of a 3000 square foot house (in thousands of dollars) is 134.7088
To learn more about linear equation visit : https://brainly.com/question/14323743
