Listed below ate aimtMrls of bills tor dinner and the armNunts of the tips that were lett Conslhu:l a scallerplot, Ind the value of the lineal correlation coefficient r, and find the P-valuc ofr. Determinc whcther thcre is sufficient evidence to support a claim of linear correlation between the two variables UJse a significance level of a =001. If everyone wcre to tip with the samo porcontago, what should bc the value of r? 102.56 64.(3 114.57 O Bill (dollars) Tip (dollars) 34.96 53.93 87.10 6.09 9.50 16.02 18.07 10.88 11.46 O B. Oc. OD. 25 25 120 120 Bill Amount ($) 120 30 30 Bill Aimeunt (S) 30 120 Bil Amount () n ount (5) The lincar correlalion coeficient r is (Round ln throo docimal places as needet ) Dctermine tho null and allernative hyprilhesos. H, p yDH integerS or decimals Do not round) The tesl stat stic is en n two ducimal nlarec ac neadert1 Cick to select your answer(s). Tlamocl () (31aneuy dL
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Please answer all questions a-e
Given data of amount of bills for dinner and amount of the tips are shown below
a)
The scatter plot of given data looks like
Option c is correct.
b)
The linear correlation coefficient is calculated as shown below
correlation coefficient = 0.745 (rounded to three decimal places)
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