An investigation is performed to understand the relationship between age and sat

Question

An investigation is performed to understand the relationship between age and satisfaction with medical care. Each of 13 individual is asked to rate medical care on a scale of 0 to 100 with 100 denoting complete satisfaction. Age and satisfaction have a correlation of 0.496.

1) the data suggests these two variables:

a) are significantly correlated because 0.496 exceeds the critical value
b) are significantly correlated because 0.496 does not exceed the critical value
c) are not significantly correlated because 0.496 exceeds the critical value
d) are not significantly correlated because 0.496 does not exceed the critical value

2) what proportion of the variation in satisfaction can be explained by age?

a) 0.15 b) 0.25 c)0.37 d)0.50 e)0.54

Explanation / Answer

1. The data suggests that two variables are not significantly correlated because 0.496 does not exceed the critical value

Option D is correct.

2. Proportion of variation that can be explained by age

= r2

= (0.496)2

= 0.25

Option B is correct.

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