1. Listed below are the budgets? (in millions of? dollars) andthe gross receipts? (in millions of? dollars) for randomly selectedmovies. .
Budget? (x) | 64 | 87 | 47 | 31 | 199 | 99 | 85 | |
Gross? (y) | 67 | 60 | 49 | 56 | 630 | 143 | 47 | |
Find the value of the linear correlation coefficient r.
2. For a sample of eight? bears, researchers measured thedistances around the? bears' chests and weighed the bears.Calculator was used to find that the value of the linearcorrelation coefficient is
r equals=0.963
What proportion of the variation in weight can be explained bythe linear relationship between weight and chest? size?
a. What proportion of the variation in weight can be explainedby the linear relationship between weight and chest? size?
3. Assume that you have paired values consisting of heights? (ininches) and weights? (in lb) from 40 randomly selected men. Thelinear correlation coefficient r is
0.559.
Find the value of the coefficient of determination. Whatpractical information does the coefficient ofdetermination?provide?
4.
The data show the bug chirps per minute at differenttemperatures. Find the regression? equation, letting the firstvariable be the independent? (x) variable. Find the best predictedtemperature for a time when a bug is chirping at the rate of 3000chirps per minute. Use a significance level of 0.05. What is wrongwith this predicted? value?
Chirps in 1 min | 1077 | 778 | 1181 | 1027 | 806 | 1108 | |
|---|
| Temperature ?(degrees°?F) | 84.6 | 72.4 | 84.9 | 84.5 | 68.2 | 81.7 |
|---|
What is the regression? equation?
5.
The data below shows height? (in inches) and pulse rates? (inbeats per? minute) of a random sample of women. .
height? (x) | 62.5 | 62.8 | 61.4 | 61.4 | 59.3 | 62.1 | 60.6 | 61.8 | 67.8 | 60.7 | 67.6 | 62.6 | |
pulse rate? (y) | 75 | 72 | 89 | 65 | 71 | 67 | 80 | 63 | 69 | 67 | 82 | 75 | |
Find the value of the linear correlation coefficient r.
r equals =
?(Round to three decimal places as? needed.)
