11. 12 I 13. 14 I 15. b) The table below shows the ages and glucose levels of 6 individuals X 1. 2 3 4 5 6 7 8 9. 10. Glucose Age (x) Level (y) i) Compute a^,B^ and hence the estimated regression...


11. 12<br>I 13. 14<br>I 15.<br>b) The table below shows the ages and glucose levels of 6 individuals X 1. 2 3 4 5 6 7 8 9. 10.<br>Glucose<br>Age (x)<br>Level (y)<br>i) Compute a^,B^ and hence the estimated regression equation. Give an interpretation of the<br>40<br>95<br>coefficients of the estimated regression equation.<br>23<br>68<br>ii) Find the coefficient of correlation rand coefficient of determination r2. Give an interpretation<br>of both values.<br>28<br>81<br>iii) Using the confidence interval approach, test the following hypotheses at the 5% level of<br>52<br>76<br>significance:<br>44<br>86<br>HO:B=0<br>32<br>79<br>H1:B#0<br>Based on the data, the following summary statistics are given:<br>iv) Using the critical value approach, test the following hypotheses at the 5% level of significance:<br>n = 6,<br>2 Ti = 219<br>HO:p=0<br>H1:p#0<br>>Yi = 485, ) = 8,577<br>6.<br>v) Based on your answer in (iv), explain whetherthe estimated regression equation can be used to<br>predict the glucose level of an individual aged 59 years.<br>i=1<br>i=1<br>y? = 39, 623, )<br>T:Yi = 17, 896<br>i=1<br>i=1<br>

Extracted text: 11. 12 I 13. 14 I 15. b) The table below shows the ages and glucose levels of 6 individuals X 1. 2 3 4 5 6 7 8 9. 10. Glucose Age (x) Level (y) i) Compute a^,B^ and hence the estimated regression equation. Give an interpretation of the 40 95 coefficients of the estimated regression equation. 23 68 ii) Find the coefficient of correlation rand coefficient of determination r2. Give an interpretation of both values. 28 81 iii) Using the confidence interval approach, test the following hypotheses at the 5% level of 52 76 significance: 44 86 HO:B=0 32 79 H1:B#0 Based on the data, the following summary statistics are given: iv) Using the critical value approach, test the following hypotheses at the 5% level of significance: n = 6, 2 Ti = 219 HO:p=0 H1:p#0 >Yi = 485, ) = 8,577 6. v) Based on your answer in (iv), explain whetherthe estimated regression equation can be used to predict the glucose level of an individual aged 59 years. i=1 i=1 y? = 39, 623, ) T:Yi = 17, 896 i=1 i=1

Jun 07, 2022
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