Question 7 0.5 pts Using the correlation matrix below, how much of the variance
ID: 3314367 • Letter: Q
Question
Question 7 0.5 pts Using the correlation matrix below, how much of the variance in graduation rate is attributable to a schools' minority percentage, rounded to two decimal places? Gorrelations Free and Teaching Minortity Rats Reduced Lunthxperence Graduation Rale Minority Ralte Rearson Corelation -624 Sio (2 tailed $57 Froc and reduced lunchSu 12-taled Pearson Complation on0 574 574 160 1291 Mean YearsPoarson Comelation Teaching Si 12-tailed) 524 574 604 Fercentage of Rearson Comelation 293 07 S29 s0 2 aled 504 574 514Explanation / Answer
As we have got the value of correlation coefficient of graduation v/s minority rate and that is -0.624 and to find the explaination of variance we must know the value of r^2 and that is nothing but Square of the correlation and i.e.
R^2= -0.624 * - 0.624 = 0.389376
and so here we can say that 38.94% of variation in graduation rate is attributed to school's minority pecentage
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