The linear correlation coefficient is r=0.9780.978. ​(Round to three decimal places as​ needed.) Determine the null and alternative hypotheses.     H0​:ρ   ____   ______

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The linear correlation coefficient is
r=0.9780.978.
​(Round to three decimal places as​ needed.)
Determine the null and alternative hypotheses.
 
 
H0​:ρ   ____   ______
 
H1​:ρ  _____  _______
(Type integers or decimals. Do not​ round.)
The test statistic is
t=
​(Round to two decimal places as​ needed.)
 
The​ P-value is
​(Round to three decimal places as​ needed.)
 
Because the​ P-value of the linear correlation coefficient is
less than or equal to:
 
the significance​ level, there is:
sufficient evidence to support the claim that there is a linear correlation between bill amounts and tip amounts.
If everyone were to tip with the same​ percentage, then
r=
​(Round to three decimal places as​ needed.)
 
 
Listed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r.
Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.01. If everyone were to tip with the same
percentage, what should be the value of r?
Bill (dollars)
Tip (dollars)
33.70
47.69
89.22
12.86
95.30
61.72 102.82 o
5.71
6.07
16.11
10.26 17.49
Construct a scatterplot. Choose the correct graph below.
OA.
O B.
Oc.
OD.
25-
25-
25-
25-
0-
30
30
120
120
Bill Amount (S)
120
Bill Amount (S)
30
Bill Amount ($)
Bill Amount ($)
Transcribed Image Text:Listed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.01. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) Tip (dollars) 33.70 47.69 89.22 12.86 95.30 61.72 102.82 o 5.71 6.07 16.11 10.26 17.49 Construct a scatterplot. Choose the correct graph below. OA. O B. Oc. OD. 25- 25- 25- 25- 0- 30 30 120 120 Bill Amount (S) 120 Bill Amount (S) 30 Bill Amount ($) Bill Amount ($)
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