Here are the golf scores of 12 members of a college women's golf team in two rounds of tournament play. (A golf score is the number of strokes required to complete the course, so that low scores are better.) To what extent may we predict the second round score from the first round score? The standard error of the slope is 0.23.

Player 1 2 3 4 5 6 7 8 9 10 11 12
Round 1
89
90
87
95
86
81
102
105
83
88
91
79
Round 2
94
85
89
89
81
76
107
89
87
91
88
80

a. Find a 95% confidence interval for the slope.

b. Find a 99% confidence interval for the slope

Question

Here are the golf scores of 12 members of a college women's golf team in two rounds of tournament play. (A golf score is the number of strokes required to complete the course, so that low scores are better.) To what extent may we predict the second round score from the first round score? The standard error of the slope is 0.23. 


Player	1	2	3	4	5	6	7	8	9	10	11	12
Round 1	
89
90
87
95
86
81
102
105
83
88
91
79
Round 2	
94
85
89
89
81
76
107
89
87
91
88
80


a. Find a 95% confidence interval for the slope. 

b. Find a 99% confidence interval for the slope

_malice_ · Answer

Is this it? http://assets.openstudy.com/updates/attachments/53e53c15e4b0e7ddacf67719-tabicyrus-1407532104051-screenshot20140808at2.07.36pm.png

mollylasko · Answer

yes :) @_Malice_

_malice_ · Answer

So would this be any kind of help? http://openstudy.com/updates/53e53c15e4b0e7ddacf67719 \

mollylasko · Answer

no one gave any helpful advice on that question :/ @_Malice_

_malice_ · Answer

welp
Sorry, thats as far as my help goes, I'm not useful after that ;-;

_malice_ · Answer

This isn't my area of expertise, atleast not these kind of questions

mollylasko · Answer

ha, thank you anyways :) @_Malice_

_malice_ · Answer

Np :(

mollylasko · Answer

@TheSmartOne

timamits · Answer

how you got the stander error 0.23?

mollylasko · Answer

that was just in the question @timamits

timamits · Answer

i think the problem is very simple, you need to calculate mean of first round score. say that is ybar. then 95% confidence interval will ybar +/- se * 1.96 and 99% confidence interval ybar +/- se * 2.56.

mollylasko · Answer

??? @timamits

timamits · Answer

ybar is the mean of the first round score which will be 89.66. You can not use second round scores to predict second round scores. Now assuming that scores follows a normal distribution with the mean 89.66 and standard deviation 0.23. Then use the formula for 95% confidence interval:-
mean +/- (standard deviation* 1.96 and mean +/- (standard deviation* 2.56. Do you have a calculator to calculate points on normal distribution.

timamits · Answer

The numbers 1.96 and 2.56 are standard values for percentage points on normal distribution.

timamits · Answer

it will be 2.58 for 99% confidence interval instead of 2.56.