I NEED TO DO THIS QUESTION PLEASE SHOW : (1)ALL THE STEPS (2)FINAL ANSWER (3)AND

Question

I NEED TO DO THIS QUESTION PLEASE SHOW :

(1)ALL THE STEPS

(2)FINAL ANSWER

(3)AND WHICH STATISTIC WAS USED TO SLOVE THE PROBLEM

THANK YOU!!!

8. The scores on the final tests in mathematics, physics, and English for eight randomly picked students are as follows: Mathematics 501 581 67 70 75 82 86 92 Physics 62 54 63 7881 788890 79 82 70 7467 6264 56 English a) Find the correlation coefficient between the scores in mathematics and the scores in physics. b) Find the correlation coefficient between the scores in mathematics and the scores in English. c) Find the regression line of the scores in mathematics and the scores in physics.

Explanation / Answer

Ans:

Correlation cofficient is calculated as given below:

a)

Correlation cofficient,r=(8*44232-580*594)/SQRT((8*43462-580^2)*(8*45302-594^2))=0.897

c)

Regression Equation(y) = a + bx

Slope(b) = (NXY - (X)(Y)) / (NX2 - (X)2)

Intercept(a) = (Y - b(X)) / N

slope,b=(8*44232-580*594)/(8*43462-580^2)=0.826

y-intercept,a=(594-0.8265*580)/8=14.329

Regression eqn:

y'=0.826x+14.33

b)

Correlation cofficient,r=(8*39341-580*554)/SQRT((8*43462-580^2)*(8*38906-554^2))=-0.942

Maths (x) Physics(y) x*y x^2 y^2 1 50 62 3100 2500 3844 2 58 54 3132 3364 2916 3 67 63 4221 4489 3969 4 70 78 5460 4900 6084 5 75 81 6075 5625 6561 6 82 78 6396 6724 6084 7 86 88 7568 7396 7744 8 92 90 8280 8464 8100 Total= 580 594 44232 43462 45302

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