If two quantitative variables are positively correlated, this implies that... (s
ID: 3371979 • Letter: I
Question
If two quantitative variables are positively correlated, this implies that... (select all that apply; you have 5 attempts) O The response variable is always positive O The response variable is always negative O The response variable tends to increase when the predictor variable O The response variable tends to decrease when the predictor variable O The LOBF for the data is horizontal O The LOBF for the data is vertical O The LOBF is upward sloping O The LOBF is downward sloping or1 or>0 O The p-value is less than 0.05 O The p-value is greater than 0.05 O The p-value is equal to 0.05 Match the correlations to the graphs. Note that 4 correlations will not be used. You have 5 attempts, and you must select all graphs correctly for credit. Graph 1 Graph 2 Graph 3 Graph 4Explanation / Answer
a)
if two variables are positively correlated
the response tends to increase as predictor increases so the lobf is upward sloping
b)
grap 1, 4 shows positive correlation
graph 2 shows negative correlation
graph 3 shows no correlation
c)
for one unit of increase in x there will be one unit decrease in y as the slope is negative
so option b is correct
d)
from equation
575-1.11*6 =568.34
e) residual = actual - fitted = 577-568.34 =8.66