回归分析实验案例数据1

实验课程案例数据1

香烟消费数据：一个国家保险组织想要研究在美国所有50个州和哥伦比亚特区的香烟消费模式，表1给出了研究中所选的变量，表2给出了1970年的数据。讨论下列问题：

表1. 香烟消费数据的变量

表2. 香烟消费数据（1970年）

州年龄HS 收入黑人比例女性比例价格销量

AL2741.3294826.251.742.789.8

AK22.966.74644345.741.8121.3

AZ26.358.13665350.838.5115.2

AR29.139.9287818.351.538.8100.3

CA28.162.64493750.839.7123

CO26.263.93855350.731.1124.8

CT29.1564917651.545.5120

DE26.854.6452414.351.341.3155

DC28.455.2507971.153.532.6200.4

FL32.352.6373815.351.843.8123.6

GA25.940.6335425.951.435.8109.9

HI2561.9462314836.782.1

ID26.459.532900.350.133.6102.4

IL28.652.6450712.851.541.4124.8

IN27.252.93772 6.951.332.2134.6

IO28.8593751 1.251.438.5108.5

KA28.759.93853 4.85138.9114

KY27.538.531127.250.930.1155.8

LA24.842.2309029.851.439.3115.9

ME2854.733020.351.338.8128.5

MD27.152.3430917.851.134.2123.5

MA2958.54340 3.152.241124.3

MI26.352.8418011.25139.2128.6

MN26.857.638590.95140.1104.3

MS25.141262636.851.637.593.4

MO29.448.8378110.351.836.8121.3

MT27.159.235000.35034.7111.2

NB28.659.33789 2.751.234.7108.1

NV27.865.24563 5.749.344189.5

NH2857.637370.351.134.1265.7

NJ30.152.5470110.851.641.7120.7

NM23.955.23077 1.950.741.790

NY30.352.7471211.952.241.7119

NC26.538.5325222.25129.4172.4

ND26.450.330860.449.538.993.8

OH27.753.240209.151.538.1121.6

OK29.451.63387 6.751.339.8108.4

OR29603719 1.35129157

PA30.750.2397185244.7107.3

RI29.246.43959 2.750.940.2123.9

SC24.837.8299030.550.934.3103.6

SD27.453.331230.350.338.592.7

TN28.141.8311915.851.641.699.8

TX26.447.4360612.55142106.4

UT23.167.332270.650.636.665.5

VT26.857.134680.251.139.5122.6

V A26.847.8371218.550.630.2124.3

WA27.563.54053 2.150.340.396.7

WV3041.63061 3.951.641.6114.5

WI27.254.53812 2.950.940.2106.4

WY27.262.938150.85034.4132.2

(1)在销量关于6个自变量的回归模型中，检验假设“不需要女性比例这一变量”；

(2)在上面的模型中，检验假设“不需要女性比例和HS这两个变量”；

(3)计算收入变量回归系数的95%的置信区间；

(4)去掉收入这个变量后拟合回归方程，其他变量对于销量的解释比例是多少？

(5)用价格、年龄和收入作自变量拟合模型，它们对销量的解释比例是多少？

(6)仅用收入作自变量拟合模型，它们对销量的解释比例是多少？