A regression was run with the DDT level in fishes caught from a river as the dep
ID: 3204664 • Letter: A
Question
A regression was run with the DDT level in fishes caught from a river as the dependent variable and the following variables as independent variables:
1. Distance upstream where the fish was caught
2. Length of the fish caught
3. Weight of the fish caught
Question: Which of the values in the attached table will help us determine if length of the fish is a significant variable?
Please note: It is not asking me to SOLVE the equation, rather it is a question to test my knowledge on the CONCEPT. The homework asks me to literally click on the value that will help us determine if length of the fish is a significant variable. I think the answer to this problem is the p-value for LENGTH which is (.0213) or t stat for length (2.3294)
Please help!!!
SUMMARY OUTPUT Regression Statistics Multiple R 0.1971 R Square 0.0389 Adjusted R Squa 0.0183 Standard Error 97.4756 Observations 144 ANOVA 0.1345 3 53793.58245 17931.2 1.8872 Regression 140 1330209.905 9501.5 Residual Total 143 1384003.488 Caefficientsstandard Erra Staf Pvalue Lawer 85 Upper Intercept 108.0677 62.7004 1.7236 0.0870 232.0297 15.8943 MILE 0.0851 0.0822 1.0350 0.3025 -0.0775 0.2476 1.6189 2.3294 0.0213 0.5703 6.9715 LENGTH 3.7709 WEIGHT 0.0494 0.0293 1.6887 0.0935 0.1073 0.0084Explanation / Answer
Yes, the p value helps determine the significance of the coefficient.
The length of the fish at a coefficient of 3.7709 has a p value of .0213.
Since this p value is less than .05, the length of the fish is significant.
The implicit null hypothesis that is being tested is that the length of the fish is not significant (assuming a normal distribution).
A p value more than .05 indicates that the null hypothesis is supported.
A p value less than .05 indicates that the null hypothesis is not supported.
Therefore, a p value of .0213 indicates that the null hypothesis (non-significance of length coefficient )is not supported.
Therefore, it shows that the fish length is significant.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.