Use the technology of your choice to do the following tasks. In the article “Statistical Fallacies in Sports” (Chance, Vol. 19, No. 4, pp. 50-56), S.

Armorikam 2021-02-22 Answered
Use the technology of your choice to do the following tasks. In the article “Statistical Fallacies in Sports” (Chance, Vol. 19, No. 4, pp. 50-56), S. Berry discussed, among other things, the relation between scores for the first and second rounds of the 2006 Masters golf tournament. You will find those scores on the WeissStats CD. For part (d), predict the secondround score of a golfer who got a 72 on the first round. a) Construct and interpret a scatterplot for the data. b) Decide whether finding a regression line for the data is reasonable. If so, then also do parts (c)–(f). c) Determine and interpret the regression equation. d) Make the indicated predictions. e) Compute and interpret the correlation coefficient. f) Identify potential outliers and influential observations.
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Answered 2021-02-23 Author has 81 answers

Given: n=Sample size=90 a) First round is on the horizontal axis and Second round is on the vertical axis. image b) When there is no strong curvature presents in the scatterplot, then it is safe to assume that there is a linear relationship between the variables and thus it is then reasonable to find a regression line. We note that the scatterplot of part (a) does not contain strong curvature and thus is reasonable to find the regression line. c) We determine all necessary sums:  xi=6745
 yi=6657
 xi yi=499217
 xi2=506871
 yi2=493291

Next, we can determine Sxx and Sxy
Sxx=  xi2=506871  6745290=1370.7222
Sxy=  xi yi  ( xi) ( yi)n=499217  6745  665790=311.8333 The estimate b of the slope β is the ratio of Sxy and Sxx:
b= SxySxx= 311.83331370.7222=0.2275 The mean is the sum of all values divided by the number of values: x=  xin= 654590=74.9444
y=  {yi}{n}= 665790=73.9667 The estimate a of the intercept α is the average of y decresed by the product of the estimate of the slope and the average of x
a= y  bx=739667  0.2275  74.9444=56.9171 General least-squares equation: y^= α + β x. Replace α by a=56.9171 and β by b=0.2275 in the general least-squres equationin the general least squres equation:
y^=a + bx=56.9171 + 0.2275x

d) Let us evalute the regression line in part (c) at

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