An amusement park in a city would like to study whether its number of visitors in Halloween can be used to predict its n

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An amusement park in a city would like to study whether its number of visitors in Halloween can be used to predict its n

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An Amusement Park In A City Would Like To Study Whether Its Number Of Visitors In Halloween Can Be Used To Predict Its N 1
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An amusement park in a city would like to study whether its number of visitors in Halloween can be used to predict its number of visitors in Christmas. The data (in thousands of visitors) over the past 14 years are shown in the table below: No. in Halloween No. in Christmas 31.3 31.5 28.3 41.4 43.4 37.3 37.9 37.1 31.4 40.7 39.6 32.1 40.7 35.3 28.2 28.6 30.1 25.0 25.3 25.5 26.3 26.5 27.9 25.3 26.4 27.5 27.3 27.3
(c) Determine and interpret the coefficient of correlation. The coefficient of correlation = It indicates a (Answer )moderate/strong/weak (Answer ) negative/ positive (Answer) curvilinear/ linear/ quadratic relationship of the two variables. (d) Determine and interpret the coefficient of determination. The coefficient of determination = It implies that % of the variation in the (Answer) number of visitors in Christmas/ Halloween/ number of visitors in Halloween/ Christmas can be explained by the variation in the (Answer) Halloween/ number of visitors in Halloween/ number of visitors in Christmas/ Christmas to the amusement park.
(e) At the 0.01 level of significance, is there evidence of a linear relationship between the number of visitors in Halloween and the number of visitors in Christmas to the amusement park? The (Answer) alternative/ true/ false/ null hypothesis HO is: The (Answer) population/sample correlation coefficient, (answer) >/=/NOT=/</>=/<=/_ The (Answer) alternative/ true/ false/null hypothesis H1 is The (Answer) population/sample correlation coefficient (answer) >/=/NOT=/</>=/<=_ The (Answer) power of the test/ level of significance/ level of confidence a= [give a value between 0 and 1 correct to 4 decimal places]. The (Answer) population size/ sample size/ sampling rate n = The chosen test statistic is: =(X-)/(S/n) 1=(-p)/(1-2)/(x-2)/2=(fo-fe)211 Z=(x-u)lo/n/) Z=(p-z)/*(1-x)/n and the test should be a (Answer)upper-tail/ lower-tail/ two-tail test. [give a positive value The critical value is correct to 4 decimal places). The decision rule is then: Reject (Answer) H1/HO if (Answer) test statistic NOT= critical value/-critical value < test statistic < critical value / test statistic <-critical value / test statistic = critical value OR test statistic = -critical value / test statistic> critical value / test statistic> critical value OR test statistic <-critical value/ test statistic = critical value; Do not reject (Answer) H0/H1 otherwise. From the given data, the test statistic is found to be [correct to 4 decimal places]. Hence, (Answer) HO is rejected/ HO is not rejected/H1 is rejected/ H1 is not rejected and there is (Answer) sufficient/ insufficient evidence of a (Answer)quadratic/ linear/ curvilinear relationship between the number of visitors in Halloween and the number of visitors in Christmas to the amusement park at the 0.01 level of significance.
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