Elementary Statistics
12th Edition
ISBN: 9780321836960
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 10.3, Problem 24BSC
Regression and Predictions. Exercises 13-28 use the same data sets as Exercises 13-28 in Section 10-1. In each case, find the regression equation, letting the first variable be the predictor (x) variable, bind the indicated predicted value by following the prediction procedure summarized in Figure 10-5 on page 493.
22. Crickets and Temperature Find the best predicted temperature at a time when a cricket chirps 3000 limes in 1 minute. What is wrong with this predicted temperature?
| Chirps in 1 min | 882 | 1188 | 1104 | 864 | 1200 | 1032 | 960 | 900 |
| Temperature (°F) | 69.7 | 93.3 | 84.3 | 76.3 | 88.6 | 82.6 | 71.6 | 79.6 |
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Students have asked these similar questions
Number 25
Section 10.2
Question #10
Find the regression equation, letting overhead width be the predictor (x) variable. Find the best predicted weight of a seal if the overhead width measured from a photograph is 1.7cm. Can the prediction be correct? What is wrong with predicting the weight in this case? Use a significance level of 0.05.
Overhead Width (cm)
7.4
7.3
9.3
7.7
8.8
8.4
Weight (kg)
135
161
238
146
212
203
View the critical values of the Pearson correlation coefficient r.
Critical values of the pearson correlation coefficient r
n
α=0.05
α=0.01
NOTE: To test H0: ρ=0 against H1: ρ≠0, reject H0 if the absolute value of r is greater than the critical value in the table.
4
0.950
0.990
5
0.878
0.959
6
0.811
0.917
7
0.754
0.875
8
0.707
0.834
9
0.666
0.798
10
0.632
0.765
11
0.602
0.735
12
0.576
0.708
13
0.553
0.684
14
0.532…
Part 1
The data show the bug chirps per minute at different temperatures. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted temperature for a time when a bug is chirping at the rate of
30003000
chirps per minute. Use a significance level of 0.05. What is wrong with this predicted value?
Chirps in 1 min
933933
955955
878878
11411141
11351135
930930
Temperature
(degrees°F)
77.877.8
73.273.2
75.475.4
82.882.8
9090
77.877.8
Question content area bottom
Part 1
What is the regression equation?
ModifyingAbove y with caretyequals=enter your response hereplus+enter your response herex
(Round the x-coefficient to four decimal places as needed. Round the constant to two decimal places as needed.)
Chapter 10 Solutions
Elementary Statistics
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