Kizspy | Question: 49
(Choose 1 answer)
(See picture)
Α. 1.46
Β. 1.66
C. 1.86
D. 2.06
Mathematics and Physics grades of 5 students are as below
Student
1
Mathematics grade (X)
Physics grade (Y)
6
7.5
2
6.5
8.5
3
6
5.5
6
9
4
4.5
5
9.5
We want to do linear regression analysis on X and Y. Given the standard error of the regression \hat{\sigma}=1.43 , the estimated slope \hat{\beta_{1}}=0.56
Calculate the test statistic for the hypotheses
H_{0} \beta_{1}=0 H_{1}:\beta_{1}>0
Given T_{0}=\frac{\hat{\beta}_{1}-\beta_{1,0}}{\sqrt{\frac{\overline{\beta}^{2}}{S_{xx}}}
