A Counselor Working with Teenagers Is Interested in the Relationship$\sum_{i=1}^{19}\left(x_{1}-\bar{x}\right)\left(y_{i}- \bar{y}\right)=3828.0526$

The Answer is d e p r e s s ^ i o n = 2.6782 + 0.4398 ⋅ anxiety = 2.6782 + ( 0.4398 ) ⋅ ( 40 ) = 20.27 dep\widehat {ress}ion = 2.6782 + 0.4398 \cdot \text { anxiety } = 2.6782 + ( 0.4398 ) \cdot ( 40 ) = 20.27 d e p ress i o n = 2.6782 + 0.4398 ⋅ anxiety = 2.6782 + ( 0.4398 ) ⋅ ( 40 ) = 20.27 This means if a person scores 40 on the anxiety test they are predicted to score 20.27 on the depression test. critical value = 2.11 standard error = 0.5298 95% confidence interval for the mean value is (19.1531,21.2889).

A Counselor Working with Teenagers Is Interested in the Relationship$\sum_{i=1}^{19}\left(x_{1}-\bar{x}\right)\left(y_{i}- \bar{y}\right)=3828.0526$

The Answer is d e p r e s s ^ i o n = 2.6782 + 0.4398 ⋅ anxiety = 2.6782 + ( 0.4398 ) ⋅ ( 40 ) = 20.27 dep\widehat {ress}ion = 2.6782 + 0.4398 \cdot \text { anxiety } = 2.6782 + ( 0.4398 ) \cdot ( 40 ) = 20.27 d e p ress i o n = 2.6782 + 0.4398 ⋅ anxiety = 2.6782 + ( 0.4398 ) ⋅ ( 40 ) = 20.27 This means if a person scores 40 on the anxiety test they are predicted to score 20.27 on the depression test. critical value = 2.11 standard error = 0.5298 95% confidence interval for the mean value is (19.1531,21.2889).

Solved

A Counselor Working with Teenagers Is Interested in the Relationship

Question 3

Essay

A counselor working with teenagers is interested in the relationship between anxiety and depression.The counselor administers a depression and anxiety test to each teenager.The scores obtained from the administration of the two inventories are given below. $\begin{array} { | c | c | } \hline \text { Anxiety } & \text { Depression } \\\hline 22 & 16 \\\hline 12 & 8 \\\hline 68 & 33 \\\hline 10 & 6 \\\hline 5 & 5 \\\hline 53 & 24 \\\hline 44 & 18 \\\hline 37 & 17 \\\hline 0 & 2 \\\hline 21 & 14 \\\hline 64 & 31 \\\hline 33 & 17 \\\hline 55 & 30 \\\hline 18 & 13 \\\hline 3 & 3 \\\hline 4 & 4 \\\hline 11 & 7 \\\hline 13 & 9 \\\hline 7 & 5 \\\hline\end{array}$
$\begin{array}{lrr} \text { The summary statistics are }\\& \text { Anxiety } & \text { Depression } \\\text { Sample mean } & 25.2632 & 13.7895 \\\text { Standard deviation } & 21.9895 & 9.8464\end{array}$

$\sum_{i=1}^{19}\left(x_{1}-\bar{x}\right)\left(y_{i}- \bar{y}\right)=3828.0526$

If an individual had an anxiety score of 40,what is a 95% confidence interval for the mean predicted value?

A Counselor Working with Teenagers Is Interested in the Relationship

Essay

Correct Answer:VerifiedShow Answer

Correct Answer:
Verified