In: Statistics and Probability
A student wants to see if the number of times a book has been checked out of the library in the past year and the number of pages in the book are related. She guesses that the number of times a book has been checked out of the library in the past year will be a predictor of the number of pages it has. She randomly sampled 14 books from the library, test her claim at a 0.10 level of significance.
number of times checked out | number of pages |
---|---|
12 | 310 |
29 | 262 |
50 | 398 |
13 | 275 |
37 | 305 |
12 | 284 |
2 | 362 |
21 | 243 |
34 | 382 |
12 | 307 |
48 | 308 |
21 | 367 |
49 | 286 |
5 | 233 |
The correlation coefficient:
r= _____ (round to 3 decimal places)
The equation y=a+bx is: (round to 3 decimal places)
y= ____ + ___ x
The hypotheses are:
H0:ρ=0H0:ρ=0 (no linear relationship)
HA:ρ≠0HA:ρ≠0 (linear relationship) (claim)
Since αα is 0.10 the critical value is -1.782 and 1.782
The test value is: _____ (round to 3 decimal places)
The p-value is: ____ (round to 3 decimal places)
The decision is to
Thus the final conclusion sentence is