History Bookmarks Window Help 19% D WeBWorK- ELEMENTARY STATISTICS MATH-2200. We

Question

History Bookmarks Window Help 19% D WeBWorK- ELEMENTARY STATISTICS MATH-2200. WeBWork: Math (1 point) A study was conducted to determine whether the final grade of a student in an introductory psychology course is linearly related to his or her performance on the verbal ability test administered before college entrance. The verbal scores and final grades for 10 students are shown in the table below Student Verbal Score x Final Grade y 31 51 75 41 56 35 73 72 50 73 97 85 78 82 81 92 69 98 95 4 10 Find the following: (a) The correlation coefficient: r-0.0103 (b) The least squares line: y- 85.3 179 +-0006(x) (c) Calculate the residual for the ninth student: 12.9821

Explanation / Answer

Using Minitab:

Regression Analysis: final grade y versus Verbal scoer x

The regression equation is
final grade y = 85.3 - 0.006 Verbal scoer x

Predictor Coef SE Coef T P
Constant 85.32 11.48 7.43 0.000
Verbal scoer x -0.0061 0.2120 -0.03 0.978

S = 10.8161 R-Sq = 0.0% R-Sq(adj) = 0.0%

Residual :

Verbal scoer x final grade y RESI1 31 73 -12.1273 51 97 11.9957 75 85 0.143269 41 78 -7.06579 56 82 -2.97356 35 81 -4.10269 73 92 7.130971 72 69 -15.8752 50 98 12.98955 33 95 9.885016

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