Question

939683291542851 233334434445455 0116 IF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 90777619800250026520 91270275420236933976 99998779950854768855 100000000001000000000 09306287694049230345 48901334457022334447 22233333333444444444 57780929490073270909 1 1 1 1 43696915439829894514 1 ENE MBJ.JJC er, W lo, nns e is e eui de oaau Major League Baseball (MLB) consists of teams that play in the American League and the National League. MLB collects a wide variety of team and player statistics. Some of the statistics often used to evaluate pitching performance are as follows: .ERA: The average number of earned runs given up by the pitcher per nine innings. An earned run is any run that the opponent scores off a particular pitcher except for runs scored as a result of errors. SO/IP: The average number of strikeouts per inning pitched HR/IP: The average number of home runs per inning pitched R/IP: The number of runs given up per inning pitched. The data in the Excel Online file below show values for these statistics for a random sample of 20 pitchers from the American League for a season. Construct a spreadsheet to answer the following questions. Open s Complete the equation below for an estimated regression equation developed to predict the average number of runs given up per inning pitched (R/IP) given the average number of strikeouts per inning pitched (SO/IP) and the average number of home runs per inning pitched (HR/IP) (to 3 decimals) R/IP - 552+-265 SO/I1.017 HR/IP a. Use the F test to determine the overall significance of the relationship. Compute F test statistic (to 2 decimals). 12.85 The p-value is 0.000 (to 3 decimals). What is your conclusion at the .05 level of significance? There isa significant overall relationship b. Use the t test to determine the significance of each independent variable. Compute the t test statistic for the significance of SO/IP (to 2 decimals) 2.55 The p-value is 0.021 (to 3 decimals) What is your conclusion at the .05 level of significance? P is significant. SO/I Compute the t test statistic for the significance of HR/IP (to 2 decimals). The p-value is What is your conclusion at the.05 level of significance? HR/IP (to 3 decimals). significant.

Answer 1

Answer:

a).

R/Ip = 0.526+(-0.243)so/ip+ 1.086*hr/ip

F statistic = 11.89

b).

t test for so/ip = -3.42

p value is 0.003

so/ip is significant.

c).

t test for hr/ip = 2.40

p value is 0.028

hr/ip is significant.

Excel Addon Megastat used.

Menu used: correlation/Regression ---- Regression Analysis.

Regression Analysis
	R²	0.583
	Adjusted R²	0.534	n	20
	R	0.764	k	2
	Std. Error of Estimate	0.053	Dep. Var.	r/ip
Regression output						confidence interval
variables		coefficients	std. error	t (df=17)	p-value	95% lower	95% upper
Intercept	a =	0.526
so/ip	b1 =	-0.243	0.071	-3.416	.0033	-0.394	-0.093
hr/ip	b2 =	1.086	0.452	2.404	.0279	0.133	2.039
ANOVA table
Source	SS	df	MS	F	p-value
Regression	0.066	2	0.033	11.89	.0006
Residual	0.047	17	0.003
Total	0.112	19