Question

Research Design: The basic research design is correlational, that is, two sets of measurements are obtained from clients who appear at the clinic stating that they desire assistance from their staff to quit smoking. One measurement is the self-report of the current average number of cigarettes (or the equivalent) smoked per day, and the other measure is data from a checklist of anxiety-linked behaviors reportedly experienced during the past 30 days. These two measures will be recorded in an Excel Spreadsheet and analyzed using Correlation and Regression. Measurements: The first time each client appears at the clinic for treatment, the client will be asked to complete an “intake survey” which consists of providing information on the client’s name, address, and telephone number (optional), a self-report on the client’s non-smoking goals, a self-assessment of the current, approximate average number of cigarettes (or the equivalent) smoked per day, and checking off the symptoms they have experienced in the past 30, days such as:

___Nailbiting ___Episodes of withdrawal

___Hard Breathing ___Excessive talking

___Trembling hands ___Lack of beauty in life’s fun

___Tics ___Rapid speech

___Outbreaks of anger ___Heartbeat flutters

___Excessive blinking ___Episodes of general discomfort

___Constant nervousness ___Upset stomach

___Loss of sleep ___Frequent lapses in concentration ___Pain in back and/or shoulders

Research Questions :

1. Is there a significant correlation between smoking frequency and reported symptoms of anxiety?

2. Is the regression equation for predicting the number anxiety symptoms from the number of cigarettes smoked per day a practical way to forecast anxiety among the Quit Smoking Now! Clinic client population? (That is, is R Squared at least .50?)

Case Analysis #1 Data
	#cigs smoked	#Anxiety behaviors checked
Person A	12	12
Person B	6	10
Person C	20	18
Person D	36	19
Person E	5	5
Person F	3	9
Person G	15	10
Person H	16	14
Person I	5	6
Person J	3	5
Person K	14	15
Person L	22	20
Person M	24	26
Person N	5	3
Person O	17	12
Person P	21	16
Person Q	9	8
Person R	14	10
Person S	30	19
Person T	6	6
Person U	17	15
Person V	8	18
Person W	10	7
Person X	6	3
Person Y	17	15
Person Z	24	16

Answer 1

using minitab>stat>basic stat>corrlation

we have

Correlation: no of cigs smoked, Anxiety behaviors checked

Pearson correlation of no of cigs smoked and Anxiety behaviors checked = 0.807
P-Value = 0.000

Ans 1 ) since p value is less than 0.05 so

yes there is a significant correlation between smoking frequency and reported symptoms of anxiety.

Ans 2 ) using minitab>stat>Regression

we have

Regression Analysis: Anxiety behaviors checked versus no of cigs smoked

The regression equation is
Anxiety behaviors checked = 4.409 + 0.5545 no of cigs smoked

S = 3.58468 R-Sq = 65.2% R-Sq(adj) = 63.7%

Analysis of Variance

Source DF SS MS F P
Regression 1 577.640 577.640 44.95 0.000
Error 24 308.399 12.850
Total 25 886.038

R square = 65.2% > 50%

so yes the regression equation for predicting the number anxiety symptoms from the number of cigarettes smoked per day a practical way to forecast anxiety among the Quit Smoking Now