Answer Happy

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 28.2 31.5 28.6 28.3 30.1 41.4 25.0 43.4 25.3 37.3 25.5 37.9 26.3 37.1 26.5 31.4 27.9 40.7 25.3 39.6 26.4 32.1 27.5 40.7 27.3 35.3 27.3 (a) Find the least-squares regression line from the given data and interpret the slope. Let X be the (answer) Christmas/ number of visitors (in thousand) in Halloween/Halloween/ number of visitors (in thousand) in Christmas and Y be the (Answer) Christmas/ number of visitors (in thousand) in Halloween / Halloween/ number of visitors (in thousand) in Christmas. The regression line is (Answer) Y=a+bX/Y=ab/X/ Y=aX/b/ Y=ab+X/Y=a+b/X/ Y=a/b+X where the (answer) slope /y-intercept/x-intercept a = _______ and the (Answer) x-intercept/ slope/y- intercept b=__ [correct to 4 decimal places]. The slope tells us that if the (Answer )Halloween/ number of visitors in Halloween/number of visitors in Christmas/ Christmas increases by 1 thousand, the (Answer) number of visitors in Christmas/ number of visitors in Halloween/ Christmas/ Halloween will change by chance/ for sure. thousand (Answer) on average/ by
(b) If the number of visitors in Halloween this year is 27.2 thousand, estimate the number of visitors this Christmas. Also, comment on the validity of your prediction. The regression line estimates that the number of visitors this Christmas will be thousand. This prediction (answer) may not be valid / is valid because the number______ thousand is (Answer) inside/outside the range of observed (Answer) a/ X/Y/b/r in the data.