\"If an investigator wanted to explore the relationship between socioeconomic st

Question

"If an investigator wanted to explore the relationship between socioeconomic status and reading achievement, which of the following would be the most appropriate statistic?"

Harmony Creek High School Data Grade Student Gender Ethnic Freeredu Math Language Science Writing GPA 9 1 male white Free/red 88 95 86 74 2.8 9 2 male black Free/red 93 93 88 83 2.8 9 3 female white Free/red 97 99 89 84 3.0 9 4 male Asian Free/red 93 95 85 81 3.1 9 5 female white Paid 93 89 88 80 3.3 9 6 female Asian Free/red 100 92 86 79 3.0 9 7 male white Paid 90 96 88 80 3.1 9 8 male white Paid 94 99 89 81 2.8 9 9 female white Free/red 88 95 85 80 2.9 9 10 male Asian Free/red 90 95 88 81 3.1 9 11 female Asian Free/red 100 92 86 80 2.8 9 12 male white Paid 90 93 88 84 2.5 9 13 female Asian Free/red 94 99 89 84 3.0 9 14 male Asian Paid 100 95 85 80 3.1 9 15 male white Paid 92 98 88 85 3.3 9 16 male white Paid 93 92 86 83 3.0 9 17 female black Paid 93 93 88 85 3.1 9 18 female black Free/red 88 99 89 86 2.8 9 19 female white Free/red 93 95 85 80 2.9 9 20 male black Free/red 90 99 95 90 3.0 9 21 male white Free/red 84 93 86 90 3.1 9 22 female black Free/red 95 97 87 91 2.5 9 23 male white Paid 88 92 88 84 3.0 9 24 female black Paid 93 95 85 81 3.1 9 25 male white Free/red 95 99 95 91 3.4 9 26 female white Free/red 95 93 86 94 2.9 9 27 male white Free/red 93 97 87 90 2.8 9 28 male white Paid 88 92 86 91 2.9 9 29 male Asian Free/red 96 95 85 85 2.9 9 30 female white Free/red 95 99 95 84 3.0 9 31 male white Paid 100 93 86 90 3.1 10 55 female Asian Paid 94 95 89 84 3.0 10 37 female black Paid 93 92 86 80 2.8 10 38 female black Paid 93 97 87 90 2.8 10 40 female black Free/red 97 93 86 90 3.1 10 41 female black Paid 93 98 86 98 3.1 10 44 female black Paid 94 93 86 94 2.9 10 49 female black Free/red 96 96 92 91 2.9 10 58 female black Paid 93 91 86 86 3.1 10 32 female white Free/red 92 93 86 90 2.8 10 43 female white Free/red 96 92 92 91 3.0 10 52 female white Paid 93 93 87 90 2.8 10 34 male Asian Free/red 93 97 87 91 2.5 10 56 male Asian Free/red 93 93 87 91 2.5 10 36 male black Free/red 97 95 100 94 2.9 10 42 male black Paid 93 97 87 91 2.5 10 46 male black Paid 90 97 87 90 3.1 10 33 male white Paid 88 94 86 81 3.1 10 35 male white Paid 90 92 88 84 3.0 10 39 male white Free/red 93 92 96 91 2.9 10 45 male white Free/red 96 98 86 92 3.3 10 47 male white Paid 94 92 86 91 2.9 10 48 male white Paid 93 93 87 91 2.5 10 50 male white Paid 90 94 86 98 3.1 10 51 male white Paid 94 95 89 94 2.8 10 53 male white Paid 93 96 86 91 3.0 10 54 male white Free/red 90 96 86 85 3.3 10 57 male white Paid 90 96 94 91 3.3 11 61 female Asian Paid 93 95 89 94 2.8 11 70 female Asian Free/red 97 95 89 84 3.0 11 72 female Asian Paid 93 93 88 85 3.3 11 59 female black Paid 90 93 87 80 2.5 11 63 female black Free/red 93 96 88 91 2.5 11 68 female black Free/red 97 93 87 90 2.8 11 74 female black Paid 93 94 88 85 3.3 11 79 female black Paid 94 95 91 94 2.9 11 64 female white Free/red 90 95 89 84 3.0 11 67 female white Paid 90 95 89 94 2.8 11 69 female white Paid 90 96 88 91 2.5 11 76 female white Free/red 97 95 91 90 3.1 11 77 female white Paid 93 94 88 84 3.1 11 62 male black Paid 92 93 87 90 2.8 11 73 male black Paid 85 100 91 94 2.9 11 60 male white Paid 90 96 88 90 2.8 11 65 male white Paid 92 93 87 91 2.5 11 66 male white Paid 93 96 88 90 2.8 11 71 male white Paid 88 92 88 79 3.0 11 75 male white Free/red 93 93 88 79 3.1 11 78 male white Free/red 92 93 88 85 3.3 12 83 female Asian Free/red 93 96 95 91 3.0 12 92 female Asian Free/red 88 92 86 85 2.8 12 98 female Asian Paid 90 92 86 90 2.8 12 85 female black Paid 93 95 91 90 3.1 12 100 female black Free/red 97 96 88 90 2.8 12 82 female white Free/red 93 95 91 94 3.1 12 91 female white Free/red 92 95 91 90 3.1 12 93 female white Paid 84 99 89 84 3.0 12 95 female white Free/red 90 92 86 84 3.0 12 96 female white Free/red 100 99 89 85 2.8 12 80 male black Free/red 100 99 95 85 3.0 12 81 male black Free/red 94 96 88 79 3.2 12 86 male black Paid 93 99 95 85 3.0 12 84 male white Paid 88 96 96 100 3.2 12 87 male white Free/red 88 96 86 91 3.4 12 88 male white Free/red 93 95 91 94 3.1 12 89 male white Paid 90 99 95 91 2.9 12 90 male white Free/red 100 96 79 92 3.0 12 94 male white Paid 88 96 88 90 2.8 12 97 male white Paid 92 96 88 91 2.5 12 99 male white Paid 93 99 89 84 3.0

Explanation / Answer

From the p values of regression it is evident that no variable is significant.

But still if we look the writing is most significant from all followed by science and then ethnicity.

male 0 female 1 white 0 black 1 Asian 2 Free/red 0 Paid 1 SUMMARY OUTPUT Regression Statistics Multiple R 0.262809 R Square 0.069068 Adjusted R Square -0.01277 Standard Error 0.221306 Observations 100 ANOVA df SS MS F Significance F Regression 8 0.330665 0.041333 0.843944 0.566644 Residual 91 4.456835 0.048976 Total 99 4.7875 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 2.55198 1.176689 2.16878 0.032707 0.214631 4.889329 0.214631 4.889329 Grade 0.00148 0.021177 0.069911 0.944418 -0.04058 0.043545 -0.04058 0.043545 Gender -0.01977 0.047481 -0.41627 0.678189 -0.11408 0.07455 -0.11408 0.07455 Ethnic -0.04162 0.03169 -1.31334 0.192372 -0.10457 0.021329 -0.10457 0.021329 Freeredu -0.02342 0.04734 -0.49465 0.622039 -0.11745 0.070618 -0.11745 0.070618 Math 0.002454 0.007051 0.348085 0.72858 -0.01155 0.01646 -0.01155 0.01646 Language -0.00154 0.01019 -0.15162 0.879823 -0.02179 0.018696 -0.02179 0.018696 Science 0.011672 0.00781 1.494376 0.138537 -0.00384 0.027186 -0.00384 0.027186 Writing -0.00786 0.004684 -1.67831 0.096718 -0.01717 0.001443 -0.01717 0.001443

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