Using the accompanying Home Market Value data, develop a multiple linear regression model for estimating the market value as a function of both the age and size of the house. State the model and explain R, Significance F, and p-values, with an alpha of 0.05. E Click the icon to view the Home Market Value data.

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Using the accompanying Home Market Value data, develop a multiple linear regression model for estimating the market value as a function of both the age and size of the house. State the model and explain R?, Significance F, and p-values, with an alpha of 0.05.
E Click the icon to view the Home Market Value data
State the hypotheses for the multiple linear regression test.
Họ: B1 = B2 = • •• = Pk = 0
H: at least one B; is not 0
State the model for predicting MarketValue as a function of Age and Size, where Age is the age of the house, and Size is the size of the house in square feet.
MarketValue = 44843.25 + (- 417.818) Age + (35.130) Size
(Type integers or decimals rounded to three decimal places as needed.)
The value of R2, 0.452 , indicates that 45.2 % of the variation in the dependent variable
(Type integers or decimals rounded to three decimal places as needed.)
is explained by these independent variables.
The Significance F is 0
(Type an integer or decimal rounded to three decimal places as needed.)
The Significance F is
less than
the chosen level of significance. Therefore,
reject
the null hypothesis. The results suggest that at least one slope is not 0.
The Age p-value is
(Type an integer or decimal rounded to three decimal places as needed.)
Transcribed Image Text:Using the accompanying Home Market Value data, develop a multiple linear regression model for estimating the market value as a function of both the age and size of the house. State the model and explain R?, Significance F, and p-values, with an alpha of 0.05. E Click the icon to view the Home Market Value data State the hypotheses for the multiple linear regression test. Họ: B1 = B2 = • •• = Pk = 0 H: at least one B; is not 0 State the model for predicting MarketValue as a function of Age and Size, where Age is the age of the house, and Size is the size of the house in square feet. MarketValue = 44843.25 + (- 417.818) Age + (35.130) Size (Type integers or decimals rounded to three decimal places as needed.) The value of R2, 0.452 , indicates that 45.2 % of the variation in the dependent variable (Type integers or decimals rounded to three decimal places as needed.) is explained by these independent variables. The Significance F is 0 (Type an integer or decimal rounded to three decimal places as needed.) The Significance F is less than the chosen level of significance. Therefore, reject the null hypothesis. The results suggest that at least one slope is not 0. The Age p-value is (Type an integer or decimal rounded to three decimal places as needed.)
varl
var2
var3
House Age
Square Feet Market Value
33
1897
91239
32
1846
101567
33
1815
96622
33
1843
89980
33
1893
97869
31
2069
110608
30
1702
87623
31
1774
96216
34
1757
88650
32
1689
85378
31
1852
101941
31
1575
100866
30
1662
83463
32
2378
111660
34
2489
112408
34
1736
90292
34
2163
119169
30
1604
98706
33
1704
86651
34
1732
87294
27
1510
80156
26
1461
77733
29
1597
85082
28
1656
88848
29
1511
84253
28
1412
77624
27
1504
88561
28
1628
90287
29
1425
78669
27
1506
89007
27
1445
90345
27
1516
86358
26
1541
72952
27
1512
87749
27
1632
89622
27
1664
82723
28
1794
86760
26
1461
84654
27
1548
96250
29
1566
88419
26
1664
98263
28
1623
126230
Transcribed Image Text:varl var2 var3 House Age Square Feet Market Value 33 1897 91239 32 1846 101567 33 1815 96622 33 1843 89980 33 1893 97869 31 2069 110608 30 1702 87623 31 1774 96216 34 1757 88650 32 1689 85378 31 1852 101941 31 1575 100866 30 1662 83463 32 2378 111660 34 2489 112408 34 1736 90292 34 2163 119169 30 1604 98706 33 1704 86651 34 1732 87294 27 1510 80156 26 1461 77733 29 1597 85082 28 1656 88848 29 1511 84253 28 1412 77624 27 1504 88561 28 1628 90287 29 1425 78669 27 1506 89007 27 1445 90345 27 1516 86358 26 1541 72952 27 1512 87749 27 1632 89622 27 1664 82723 28 1794 86760 26 1461 84654 27 1548 96250 29 1566 88419 26 1664 98263 28 1623 126230
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