7. 0/0.5 points| Previous Answers MBasic Stat7 5.E.006 My Notes Ask Your Teache

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7. 0/0.5 points| Previous Answers MBasic Stat7 5.E.006 My Notes Ask Your Teache The figure below displays the relationship between golfers' scores on the first and second rounds of the 2013 Masters Tournament. The correlation is r = 0.246 85 80 65 65 70 75 80 85 First-round score The figure below gives data on solar radiation (SRD) and concentration of dimethylsulfide (DMS) over a region of the Mediterranean. The correlation is r = 0.969 SRD DMS SRD DMS 12.55 2.914.3419.72 21.52 22.4 37.65 48.41 0.796 0.6921.744062 0.682 17 0.736 0.720 74.41 94.14 109.38 57.79 262.67 268.96 289.23 1.820 1.099 2.692 5.134 8.038 7.280 8.872 Explain in simple language why knowing only these correlations enables you to say that prediction of DMS from SRD by a regression line will be much more accurate than prediction of a golfer's second-round score from his first-round score. (Select all that apply.) O The fraction of the variation in the observed values of y explained by the least-squares regression of y on x is given by r The higher this fraction, the less likely that the prediction is accurate The fraction of the variation in the observed values of y explained by the least-squares regression of y on x is given by r The higher this fraction, the more likely that the prediction is accurate The fraction of the variation in the observed values of x explained by the least-squares regression of y on x is given by 2 The higher this fraction, the more likely that the prediction is accurate The fraction of the variation in the observed values of y explained by the least-squares regression of y on x is given by r The higher this fraction, the less likely that the prediction is accurate When r is closer to 1 or -1, the points in the scatterplot fall closer to the regression line, therefore predictions based on this line are more accurate

Explanation / Answer

The fraction of variation explained by x in y is r2. Higher this fraction, more likely will be the accuracy.

Also, r closer to -1 or 1 describes more accurate predictions.

Hence,

Option B and Option E is correct.

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