The accompanying data represent the number of days absent, x, and the final exam score, y,...

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The accompanying data represent the number of days absent, x, and the final exam score, y, for a sample of colege students in

X iAbsences and Final Exam Scores No. of 7 8 9 6 0 1 2 3 4 absences, x Final 64.5 67.2 81.6 77.7 74.8 64.4 72.2 exam score, y

- X Reference present the llege studen the absend Critical Values for Correlation Coefficient a table of c п 0.997 regression

iReference 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 ds a Print Done

9 of 14 (10 ca Reference 20 0.444 0.433 21 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361 P

math Statistics-And-Probability

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Answer 1

Answer #1

	No. of absences (X)	Final Scores (Y)	X * Y	X²	Y²
	0	88.8	0	0	7885.44
	1	86.3	86.3	1	7447.69
	2	83.1	166.2	4	6905.61
	3	81.6	244.8	9	6658.56
	4	77.7	310.8	16	6037.29
	5	74.8	374	25	5595.04
	6	64.4	386.4	36	4147.36
	7	72.2	505.4	49	5212.84
	8	64.5	516	64	4160.25
	9	67.2	604.8	81	4515.84
Total	45	760.6	3194.7	285	58565.92

Equation of regression line is Ŷ = a + bX
((X3) – 2X3u)/(43X3 – XX3U) = 9
b = ( 10 * 3194.7 - 45 * 760.6 ) / ( 10 * 285 - ( 45 )²)
b = -2.764
a =( Σ Y - ( b * Σ X) ) / n
a =( 760.6 - ( -2.7636 * 45 ) ) / 10
a = 88.496
Equation of regression line becomes Ŷ = 88.496 - 2.764 X

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Answer 2

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