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Kazeer [188]
3 years ago
6

The data show the list and selling prices for several expensive homes. Find the regression​ equation, letting the first variable

be the independent​ (x) variable. Find the best predicted selling price of a home having a list price of ​$ million. Use a significance level of 0.05.

Mathematics
1 answer:
asambeis [7]3 years ago
8 0

Answer:

The best predicted selling price of a home having a list price of ​$22 million is $20.52 million.

Step-by-step explanation:

The missing data is:

List price (<em>x</em>) (millions of $)  

(1) 1.6 (2) 4.2 (3) 2.1 (4) 1.6 (5) 2.3 (6) 4  

Selling price (<em>y</em>) (millions of $)

(1) 2 (2) 4.6 (3) 1.8 (4) 1.9 (5) 2.4 (6) 3.6

Use Excel to perform the regression analysis.

The significance level is, <em>α</em> = 0.05.

The regression output is attached below.

The regression equation is:

\hat y=0.28+0.92x

The value of <em>t</em>-statistic is:

<em>t</em> = 0.676.

The <em>p</em>-value is:

<em>p</em>-value = 0.536

Compute the predicted selling price of a home having a list price of ​$22 million as follows:

\hat y=0.28+0.92x

  =0.28+0.92\times 22\\\\=0.28+20.24\\\\=20.52\ \text{million}

Thus, the best predicted selling price of a home having a list price of ​$22 million is $20.52 million.

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