ACHIEVE F/PRACT OF STAT IN LIFE-ACCESS
4th Edition
ISBN: 9781319509286
Author: BALDI
Publisher: MAC HIGHER
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Question
Chapter 23, Problem 23.1AYK
a)
To determine
To construct
a)
Expert Solution
Explanation of Solution
Given:
Number of D.magna grazers | Net growth rate of G. semen |
1 | -1.9 |
2 | -2.5 |
3 | -2.2 |
4 | -3.9 |
5 | -4.1 |
6 | -4.3 |
The scatter plot:
Yes, there is strong relationship between two variables.
b)
To determine
To find slope and y-intercept.
b)
Expert Solution
Explanation of Solution
Given:
Number of D.magna grazers | Net growth rate of G. semen |
1 | -1.9 |
2 | -2.5 |
3 | -2.2 |
4 | -3.9 |
5 | -4.1 |
6 | -4.3 |
Regression Analysis | |||||
r² | 0.862 | n | 6 | ||
r | -0.928 | k | 1 | ||
Std. Error | 0.443 | Dep. Var. | Y | ||
ANOVA table | |||||
Source | SS | df | MS | F | p-value |
Regression | 4.8893 | 1 | 4.8893 | 24.89 | .0075 |
Residual | 0.7857 | 4 | 0.1964 | ||
Total | 5.6750 | 5 | |||
Regression output | |||||
variables | coefficients | std. error | t (df=4) | p-value | |
Intercept | -1.30 | 0.41 | -3.151 | .0345 | |
X | -0.53 | 0.11 | -4.989 | .0075 |
Slope =
Y-intercept =
Regression equation is,
c)
To determine
To find the residuals and standard error.
c)
Expert Solution
Explanation of Solution
Given:
Number of D.magna grazers | Net growth rate of G. semen |
1 | -1.9 |
2 | -2.5 |
3 | -2.2 |
4 | -3.9 |
5 | -4.1 |
6 | -4.3 |
Slope =
Y-intercept =
Regression equation is,
The residuals are:
X | Y | Predicted | Residual | (Residual)2 |
1 | -1.90 | -1.83 | -0.07 | 0.005 |
2 | -2.50 | -2.36 | -0.14 | 0.020 |
3 | -2.20 | -2.89 | 0.69 | 0.470 |
4 | -3.90 | -3.41 | -0.49 | 0.236 |
5 | -4.10 | -3.94 | -0.16 | 0.025 |
6 | -4.30 | -4.47 | 0.17 | 0.029 |
Total | 0.00 | 0.786 |
So, SSE = 0.786
Therefore, standard error is,
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Chapter 23 Solutions
ACHIEVE F/PRACT OF STAT IN LIFE-ACCESS
Ch. 23 - Prob. 23.1AYKCh. 23 - Prob. 23.2AYKCh. 23 - Prob. 23.3AYKCh. 23 - Prob. 23.4AYKCh. 23 - Prob. 23.5AYKCh. 23 - Prob. 23.6AYKCh. 23 - Prob. 23.7AYKCh. 23 - Prob. 23.8AYKCh. 23 - Prob. 23.9AYKCh. 23 - Prob. 23.10AYK
Ch. 23 - Prob. 23.11AYKCh. 23 - Prob. 23.12AYKCh. 23 - Prob. 23.13CYSCh. 23 - Prob. 23.14CYSCh. 23 - Prob. 23.15CYSCh. 23 - Prob. 23.16CYSCh. 23 - Prob. 23.17CYSCh. 23 - Prob. 23.18CYSCh. 23 - Prob. 23.19CYSCh. 23 - Prob. 23.20CYSCh. 23 - Prob. 23.21CYSCh. 23 - Prob. 23.22CYSCh. 23 - Prob. 23.23ECh. 23 - Prob. 23.24ECh. 23 - Prob. 23.25ECh. 23 - Prob. 23.26ECh. 23 - Prob. 23.27ECh. 23 - Prob. 23.28ECh. 23 - Prob. 23.29ECh. 23 - Prob. 23.30ECh. 23 - Prob. 23.31ECh. 23 - Prob. 23.32ECh. 23 - Prob. 23.33ECh. 23 - Prob. 23.34ECh. 23 - Prob. 23.35ECh. 23 - Prob. 23.36ECh. 23 - Prob. 23.37ECh. 23 - Prob. 23.38ECh. 23 - Prob. 23.39ECh. 23 - Prob. 23.40ECh. 23 - Prob. 23.41ECh. 23 - Prob. 23.42E
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