The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 48 inches. Is the result close to the actual weight of 538 pounds? Use a significance I Chest size (inches) Weight (pounds) 36 6 39 49 42 O 50 | 296 570 501 353 487 385 9 Click the icon to view the critical values of the Pearson correlation coefficient r. 56 O Critical Values of the Pearson Correlation Coefficient r What is the regression equation? Critical Values of the Pearson Correlation Coefficient r a-0.05 0.950 0878 0811 0.754 0.707 0 666 0.632 0.602 0.576 0 553 0.532 0514 0497 0.482 0.468 0.456 0.444 0396 0.361 0335 0312 0 294 0 279 0 254 0 236 0220 0 207 0.196 NOTE: To test Hp=0 against H, p#0, reject H, jf the absolute value of r is greater than the critical value in the table. =O•O« (Round to one decimal place as needed) a-0.01 0.990 0.959 0.917 0.875 0.834 0.798 0.765 0.735 0.708 0.684 0.661 0.641 0623 0.606 0.590 0 575 0.561 0.505 0.463 0.430 0.402 0 378 4 What is the best predicted weight of a bear with a chest size of 48 inches? The best predicted weight for a bear with a chest size of 48 inches is pounds. Round to one decimal place as needed.) s the result close to the actual weight of 538 pounds? 10 11 O A. This result is exactly the same as the actual weight of the bear. O B. This result is very close to the actual weight of the bear. OC. This result is not very close to the actual weight of the bear. O D. This result is close to the actual weight of the bear. 12 13 14 15 16 17 18 19 20 25 30 35 40 45 50 60 70 80 90 100 0.361 0 330 0.305 0 286 0 269 0 256 a-0.05 a-0.01
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of
inches. Is the result close to the actual weight of
pounds? Use a significance level of 0.05.
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