A method computes a driving performance index based on a golfer\'s average drivi
ID: 3206008 • Letter: A
Question
A method computes a driving performance index based on a golfer's average driving distance (yards) and driving accuracy (percent of drives that land in the fairway). You fit the straight-line model relating driving accuracy (y) to driving distance (x) as y with caret =265.10.6703x. Complete parts a through c.
Rank Driving Distance (yards) Driving Accuracy (%)
1 319.9 53.7
2 315.6 49.4
3 313.4 48.7
4 307.9 53.1
5 305.2 69.2
6 304.6 63.9
7 300.3 74.5
8 297.9 64.3
9 293.7 63.2
10 289.4 67.7
a. Give the null and alternative hypotheses for testing whether driving accuracy (y) decreases linearly as driving distance (x) increases.
A. Ho: o=0
Ha: 0
B. Ho: 1=0
Ha: 1>0
C. Ho: =0
Ha: 10
D. Ho: o=0
Ha: o>0
E. Ho: 1=0
Ha: 1<0
F. Ho: o=0
Ha: o<0
b. Find the test statistic and p-value of the test, part
a. t=.... (Round to two decimal places as needed.)
p-valu=.... (Round to four decimal places as needed.)
c. Make the appropriate conclusion at =0.05
Explanation / Answer
(a) right choice would be
E. Ho: 1=0
Ha: 1<0
(b) to test the significance of the 1, we use t-test and
t= 1/SE( 1) with n-2 df , where n is number of observation.
for the exact value of t and p-value we need n and SE( 1),
one tailed p-value can be calculated using ms-excel command =TDIST(t-value,df,1)
(c) if p-value is less than alpha=0.05 we fail to accept H0 or reject H0
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