Question

The accompanying data table contains the listed prices (in thousands of dollars) and the number of square feet for 20 homes l
(b) Estimate the linear equation using least squares. Interpret the fitted intercept and slope. Be sure to include their unit
What is the correct interpretation of the intercept? Select the correct choice below and fill in the answer box(es) within yo
What is the correct interpretation of the slope? Select the correct choice below and fill in the answer box(es) within your c
and s, associated with the fitted equation. Attach units to these summary statistics as (c) Interpret the summary values appr
no units units of thousand dollars per square foot units of dollars units of square feet per thousand dollars units of thousa
and se? Select the correct choice below and fill in the answer What is the correct interpretation of the summary values boxes
(d) If a homeowner adds an extra room with 511 square feet to her home, can we use this model to estimate the increase in the
(e) A home with 2,726 square feet lists for $547,000. What is the residual for this case? Is it a good deal? a good deal The
(is/is not) (more/less)

Square_Feet Price_($000)
1,166 262
3,079 608
1,565 281
1,066 223
2,067 328
2,386 361
905 187
2,929 431
1,365 284
2,908 565
2,944 412
1,309 289
1,828 305
1,629 313
1,884 324
2,267 438
1,134 233
2,593 509
1,115 258
1,749 325
0 0
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Answer #1

excel o/p for regression-

Regression Statistics
Multiple R 0.9169
R Square 0.8407
Adjusted R Square 0.8319
Standard Error 46.7294
Observations 20
ANOVA
df SS MS F Significance F
Regression 1 207441.7 207441.7 95.00 0.0000
Residual 18 39305.5 2183.6379
Total 19 246747.2
Coefficients Standard Error t Stat P-value lower 95% upper 95%
Intercept 69.908 30.269 2.310 0.0330 6.3146 133.502
X 0.146 0.015 9.747 0.0000 0.1147 0.1777

b)

Ŷ =   69.908   +   0.146   *x
=================

intercept= 69.908

O A. The intercept of thousand dollars represents the average cost of the land.

-------------------------

slope interpretation=0.146

OB. The slope is thousand dollars per square foot. For every one square foot increase, average prices increase by thousand do

c)

R² =    (Sxy)²/(Sx.Sy) =    0.841 with no units

Se=46.729 unit of thousand dolaars

% of the variation. The value of s, means that the OC. The value of 2 means that the equation describes about standard deviat

answer for blanks : 84.1 % , 46.7 thousand dollars

d) option B)

value increases by=0.146 *511 = 74.7 thousand dollars

e)

Predicted Y at X=   2726   is          
Ŷ =   69.9083   +   0.1462   *2726=   468.35

residual = 547000 - 46835 = 78.7thousand dollars

a home with this square footage and listing price is not a good deal. because it costs $78700 than most house of this size on average

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