Question
In: Math
5. Listed in the table below are the robbery and aggravated assault rates (occurrences per 100,000)...
5. Listed in the table below are the robbery and aggravated assault rates (occurrences per 100,000) for the 12 most populated U.S. cities in 2006:
|
City |
Robbery (x) |
Aggravated Assault (y) |
|
New York |
288 |
330 |
|
Los Angeles |
370 |
377 |
|
Chicago |
555 |
610 |
|
Houston |
548 |
562 |
|
Phoenix |
288 |
398 |
|
Philadelphia |
749 |
720 |
|
Las Vegas |
409 |
508 |
|
San Antonio |
180 |
389 |
|
San Diego |
171 |
301 |
|
Dallas |
554 |
584 |
|
San Jose |
112 |
248 |
|
Honolulu |
105 |
169 |
a. Calculate the standard error of the estimate.
b. Estimate the strength of the linear relationship between x and y.
Solutions
Expert Solution
a)
| SSE =Syy-(Sxy)2/Sxx= | 22,977.1253 |
| error Variance σ2 = | s2 =SSE/(n-2) | = | 2297.7125 | |
| standard error of estimate = | se =√s2 | = | 47.9345 | |
b)
| correlation coefficient r= | Sxy/(√Sxx*Syy) = | 0.9605 | ||
as correlation coefficient is positive and closer to 1, this tells us that there is a strong positive linear relationship between x and y.
milcah answered 6 months agoRelated Solutions
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