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Regression. A coach wants to see the relationship between thestatistics of practice games and official games of a localsoccer
team.
A sample of
18
players was used and the resulting​ (partial) Excel outputis shown below. Assume both x and y form normal distributions.
0.782535
0.173136
4.37575
0.002365
0.362046
1.169078
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Part 1
​(a) The slope of the regression line is
A.
40.925
B.
4.376
C.
0.783
D.
0.173
​(b) The correlation coefficient is
A.
None of the other answers
B.
​-0.8398
C.
0.8398
D.
0.705
A hypothesis test is done to determine whether the correlationcoefficient is significantly different from zero.
​(c) The alternate hypothesis is
A.
H1 : ρ ≠ 0
B.
H1 : ρ = 0
C.
H1 : β ≠ 0
D.
H1 : μ = 0
​(d) The test statistic is
A.
4.794
B.
40.78
C.
0.362
D.
None of the other answers
​(e) The degrees of freedom​ are:
A.
18
B.
17
C.
15
D.
16
​(f) At the​ 5% significance level it can be concluded thatthere is evidence to suggest the correlation coefficient is
A.
negative
B.
not zero
C.
positive
D.
zero