Question

A social psychologist wants to test if extroversion is significantly related to a person’s general health. He gets extroversion scores and a measure of general health from the participants’ medical providers. The data are listed below. Higher health extroversion scores mean greater extroversion, while high health scores = good health.

Complete the appropriate statistical test and hypothesis testing using the 4 step approach. State your conclusion in APA format. Alpha level = .05.

Participant	extrov X	health Y	X squared	Y squared	(X) (Y)
A	101	33			3333
B	93	40			3720
C	85	24			2040
D	111	46			5106
E	104	30			3120
F	89	28			2492
Total

Then,

Using the data from the prior correlation question (extroversion and health),

Find the regression line for the data.

a = ____       b = ______        equation:   _____________________

Answer 1

solution 8 = n=6 Ex-583 Ey= = 201 Exy = 19311 sst = 282 ssy = 310 sexy = {(x1 - x) lyi-y) = {xy-nxy 97.1667 ។ Ey 201 = 33.5 Ssxy = 19311 - 33:5*97.1667 x6 =19811 -19530.5067 Issey = 280.4933 s we want to test Ho: There is no relationship between IQ score adated and to health te: There B gelationship between IQ score zcore related and heath 8 say 280.4933 280-4933 0.9486 V sxxsyy 295.668 282 * 310 CS Scanned with CamScanner

Test statistico rhoz - tnoz V1-82 1.8972 5-9992 = 0.948656-2 ſi-0-94962 0.3164 P-value=0.002 tcritical=tn-2 , 2/2 = t4, 0.025 = 2-7704 apvalue is less than alpha value (0.05) so, we reject to fethe IQ score significantly related to person health A) Regression equation y=at be b = ssay 2805 -0.9996 282 san a-9-bx = 33.5-0.9996497.1667 = -63-149 y=-63.149870.9946 CS Scanned with CamScanner