Q1_1:That there is a relationship between the size of the logs and the density of riparian vegatation
Q1_2:That there is no relationship between the size of the logs and the density of riparian vegatation
Q1_3:That the population slope between the size of the logs and the density of riparian vegatation is equal to zero (0)
Q1_2_1:Normality
Q1_2_2:Boxplots of the variables
Q1_2_3:Homogeneity of variance
Q1_2_4:Spread of data around regression line, residual plot
Q1_2_5:Linearity
Q1_2_6:Scatterplot, lowess smoother
Q1_2_7:Independent observations
Q1_2_8:Random sampling, unbiased
Q1_3a:N
Q1_3b:N
Q1_3c:N
Q1_4:N
Q1_5a:-77.09908
Q1_5b:0.11552
Q1_5c:4.930
Q1_5d:0.000222
Q1_5e:0.6345
Q1_6:Statistical - Reject the null hypothesis that the population slope equals zero. Biological - There is a significant, positive, linear relationship between the size of the logs and the density of riparian vegatation.
Q2_1:That there was a relationship between the yield of grass and the quantity of fertilizer applied
Q2_2:That there was not a relationship between the yield of grass and the quantity of fertilizer applied
Q2_3:The population regression slope between the yield of grass and quantity of fertilizer equals zero
Q2_2a:N
Q2_3a:N
Q2_4a:51.93333
Q2_4b:0.81139
Q2_4c:9.697
Q2_4d:<0.001
Q2_4e:0.9216
Q2_5:Statistical - Reject null hypothesis that the population slope between grass yield and fertilizer quantity equals zero. Biological - There was a significant, positive, linear relationship between the yield of grass and the quantity of fertilizer applied
Q3_1:Y
Q3_2:Evidence of a 'wedge-shaped' pattern in the residuals indicating that there is some evidence that the assumption of homogeneity of variance has been violated.
Q3_3:Transform the scale of (normalize) these data (both axes) as often the primary cause of unequal variance is non-normality
Q3_4:Marginal boxplots symmetrical, even spread of data around the linear regression line, residuals should not illustrate a 'wedge-shaped' pattern.
Q3_5:Y
Q3_5a:-0.57601
Q3_5b:0.83492
Q3_6:Statistical - Reject the null hypothesis that the population slope between log number of individuals and log area equals zero. Biological - There is a significant, positive, linear relationship between the log number of invertebrate individuals and the log area of mussel clumps
q2_7:2
Q3_7a:0.83492
Q3_7b:11.816
Q3_7c:23
Q3_7d:<0.001
Q3_8:0.8586
Q3_9:481.6561