I. Solve the following problems: 1. In an attempt to assess the effect of the student's score in the admission test to their academic performance, a survey was conducted to eight randomly selected students to determine the scores in the admission test and their grades. The data are as follows: Student Number 1 2 3 4 5 6 7 8 Grade 80 78 95 90 75 82 80 70 Score in Admission Test 53 62 87 80 46 59 60 45 a. Identify the dependent and independent variable. Dependent Variable: Independent Variable: b. Compute the correlation coefficient (r), using the formula n EXY - EX . EY r = VIn Ex2 - (EX)2] [n EY2 - ([Y) 2] swimue X Y XY X2 Y2 n EXY - EX . EY r = VIn EX2 - (EX) 2] [n EY2 - ([Y) 2]C. Test the significance of r using the formula: t= r n- 2 1 - 1 2 DITESTATE VIX TEST EVITAMMUe ONCO38 ITSAUO HTAUO ameldona eniwollot and svloe imsbebe ment of d. Compare the computed t-value to the critical value. 916 6feb off1 290610 medium insbuie SO JesT noleeimbAint s1092 e. Make a decision. oldshev Insbrisqabri bris insbriegsh orif vidsbl f. Summarize the results. g. Compute the values of m and b in the regression equation y = mX + b using the following formulas. m = - n(EXY)-(Ex) (Er) n ([X2)- ([X)2 b = (CY) (Ex2 ) - ([x) ([XY) n ([x2)- ([X)2h. From the regression equation, substitute the values of m and b in the equation Y = Mx + b i. Predict the score of a student in admission test if his grade is 85. Find the value of Y when X= 85 in the regression equation. Y = Mx + b