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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 4

Explanation / 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