In: Statistics and Probability
1. drawn bell shaped curved showing rejected/ non rejection with an alpha value of 0.05
2. determine regression of the line equation y=bx+a
3. Find a and b
4. let 20 be x and what it indicated
5. Then set it up for 95% prediction interval
| 
 x  | 
 y  | 
 xy  | 
 x^2  | 
 y^2  | 
| 
 19  | 
 7  | 
 133  | 
 361  | 
 49  | 
| 
 23  | 
 10  | 
 230  | 
 529  | 
 100  | 
| 
 25  | 
 3  | 
 75  | 
 625  | 
 9  | 
| 
 15  | 
 12  | 
 180  | 
 225  | 
 144  | 
| 
 67  | 
 4  | 
 268  | 
 4489  | 
 16  | 
| 
 54  | 
 2  | 
 108  | 
 2916  | 
 4  | 
| 
 68  | 
 2  | 
 136  | 
 4624  | 
 4  | 
| 
 21  | 
 4  | 
 84  | 
 441  | 
 16  | 
| 
 14  | 
 8  | 
 112  | 
 196  | 
 64  | 
| 
 17  | 
 7  | 
 119  | 
 289  | 
 49  | 
| 
 48  | 
 3  | 
 144  | 
 2304  | 
 9  | 
| 
 18  | 
 6  | 
 108  | 
 324  | 
 36  | 
| 
 =389  | 
 =68  | 
 =1697  | 
 =17323  | 
 =500  | 
We have to find
1. drawn bell shaped curved showing rejected/ non rejection with an alpha value of 0.05
2. determine regression of the line equation y=bx+a
3. Find a and b
4. let 20 be x and what it indicated
Answers:
1)
We plot the bell shape curve of response variable y by manually as well as using excel,
for the plot the value of y and corresponding probablity distribution is
| y | 2 | 2 | 3 | 3 | 4 | 4 | 6 | 7 | 7 | 8 | 10 | 12 | 
| Distribution | 0.064852 | 0.064852 | 0.087868 | 0.087868 | 0.108162 | 0.108162 | 0.122906 | 0.113455 | 0.113455 | 0.095151 | 0.050188 | 0.018036 | 
Plot:



