Husband Wife 186 181 180 175 160 155 186 181 163 158 172 167 192 187 170 165 174

Question

Husband Wife 186 181 180 175 160 155 186 181 163 158 172 167 192 187 170 165 174 169 191 186 182 177 178 173 181 176 168 163 162 157 188 183 168 163 183 178 188 183 166 161 180 175 176 171 185 180 169 164 182 177 162 157 169 164 176 171 180 175 157 152 170 165 186 181 180 175 188 183 153 148 179 174 175 170 165 160 156 151 185 180 172 167 166 161 179 174 181 176 176 171 170 165 165 160 183 178 162 157 192 187 185 180 163 158 185 180 170 165 176 171 176 171 160 155 167 162 157 152 180 175 172 167 184 179 185 180 165 160 181 176 170 165 161 156 188 183 181 176 156 151 161 156 152 147 179 174 170 165 170 165 165 160 165 160 169 164 171 166 192 187 176 171 168 163 169 164 184 179 171 166 161 156 185 180 184 179 179 174 184 179 175 170 173 168 164 159 181 176 187 182 181 176

Explanation / Answer

Here we can first analyse the data on minitab or R-software.

We get value of multiple R-squared=1.

that is there is perfect positive correlation between height of husband and wife an regression equation becomes

Husband(Y) = 5.000 + 1.000 Wife(x)

every Y has 5 cms more hieght than X.

1)Ho:B1=1-0.01B0 vs   

2)H1:B1 not equals to 1-0.01B0

3)level of significance is=0.05=alpha

4)test statistics

t=B1-E(B1)/S.E.(B1) ~tn-2=1.698e+15

or by anova we also get 1.698e+15 for t-value of B1

p-value is >0.05

5)We accept H0 and conclued that B1+0.01B0=1

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