Question

Quantitative Reasoning Outcomes Assessment Although more and more women are becoming physicians each year, it is well known that men outnumber women in many specialties. Randomly selected specialties are listed below with the numbers of male and female physicians in each. Specialty Dermatology Emergency medicine509820429 Neurology Radiology Pediatrics Ob/Gynecology Female Male 34826506 2895 10088 1218 7574 5200 4280 3470 2135 2800 4030 Suppose we would like to predict the number of male specialists from number of female specialists with the specialty data provided in the table. Answer each of the following questions (a) Identify the explanatory and response variables. [1 point] (b) Assume the relationship between the two variables is linear, compute the linear correlation coefficient, r. [1 point] (Obtain r from the TI calculator, you are not required to show work here.) (c) Fit a regression/predictive model to the data (Express it as an equation with the "Number of male specialists" and "Number of female specialists" as the names of the variables in the equation.) for predicting the number of male specialists from number of female specialists. [1 point] (No need to show work.)

Answer 1

a)
explanatory - number of female specialist
response - number of male specialist

b) r = 0.31814

Regression Statistics
Multiple R	0.318147782
R Square	0.101218012
Adjusted R Square	-0.078538386
Standard Error	6361.344876
Observations	7
ANOVA
	df	SS	MS	F	Significance F
Regression	1	22786169.69	22786169.69	0.563084334	0.486809538
Residual	5	202333543.2	40466708.63
Total	6	225119712.9
	Coefficients	Standard Error	t Stat	P-value	Lower 95%
Intercept	3002.566383	6909.249964	0.434571972	0.681988393	-14758.22607
female	1.40810476	1.876498598	0.750389455	0.486809538	-3.41558845

c)
Male^ = 3002.566383 +1.40810476 *female