The data on the U5mort worksheet below represent female literacy (FemLit0 and un

Question

The data on the U5mort worksheet below represent female literacy (FemLit0 and under-five mortality (U5Mort) for one hundred and fourteen countries of the world, each having more that one million inhabitants. the data were taken from the state of the Worlds Children (2001). Use these data to caluclate B1 and Bo for FemLit as a predictor of U5Mort.

FemLit U5mort 16 257 54 41 29 295 96 22 99 30 98 5 98 5 48 89 98 6 19 156 28 107 78 83 85 40 98 17 58 122 53 154 98 6 27 172 22 198 96 12 77 41 92 31 54 207 95 14 96 8 98 5 81 49 86 35 38 52 73 42 10 105 27 176 98 5 98 5 24 75 98 5 53 101 63 60 22 181 16 200 42 129 69 42 99 10 44 98 78 52 69 46 45 128 98 6 81 11 98 4 81 35 99 42 69 118 98 5 95 65 48 111 77 32 92 134 67 22 44 156 34 211 79 9 12 235 33 183 78 23 87 33 97 80 31 53 23 203 78 112 77 70 28 104 98 5 98 6 67 47 7 275 47 187 98 4 57 16 33 112 92 27 63 112 90 32 89 52 94 42 87 6 96 24 50 180 70 25 23 118 18 316 86 4 66 69 96 6 88 19 47 109 98 4 73 30 82 141 92 30 33 143 97 20 74 48 50 131 98 6 98 8 97 17 99 58 90 23 88 40 36 119 60 202 82 90

Explanation / Answer

Let us find linear regression equation using the given data.

Step 1: Find X?Y and X2 as it was done in the table below.

Step 2: Find the sum of every column:

?X=7754 , ?Y=8679 , ?X?Y=404706 , ?X2=621406

Step 3: Use the following equations to find a and b:

ab=?Y??X2??X??XYn??X2?(?X)2=8679?621406?7754?404706113?621406?77542?223.401=n??XY??X??Yn??X2?(?X)2=113?404706?7754?8679113?621406?(7754)2??2.136

Step 4: Substitute a and b in regression equation formula

y = a + b?x= 223.401 ? 2.136?x

Hence regression equation is y = -2.136x+223.401

X Y X?Y X?X 16 257 4112 256 54 41 2214 2916 29 295 8555 841 96 22 2112 9216 99 30 2970 9801 98 5 490 9604 98 5 490 9604 48 89 4272 2304 98 6 588 9604 19 156 2964 361 28 107 2996 784 78 83 6474 6084 85 40 3400 7225 98 17 1666 9604 58 122 7076 3364 53 154 8162 2809 98 6 588 9604 27 172 4644 729 22 198 4356 484 96 12 1152 9216 77 41 3157 5929 92 31 2852 8464 54 207 11178 2916 95 14 1330 9025 96 8 768 9216 98 5 490 9604 81 49 3969 6561 86 35 3010 7396 38 52 1976 1444 73 42 3066 5329 10 105 1050 100 27 176 4752 729 98 5 490 9604 98 5 490 9604 24 75 1800 576 98 5 490 9604 53 101 5353 2809 63 60 3780 3969 22 181 3982 484 16 200 3200 256 42 129 5418 1764 69 42 2898 4761 99 10 990 9801 44 98 4312 1936 78 52 4056 6084 69 46 3174 4761 45 128 5760 2025 98 6 588 9604 81 11 891 6561 98 4 392 9604

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