Question

In: Statistics and Probability

A study was conducted to determine whether the final grade of a student in an introductory...

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 1 2 3 4 5 6 7 8 9 10

Score 65 42 32 43 59 73 31 25 74 71

Grade 79 63 85 93 93 79 86 74 67 92

Find the following: (a) The correlation coefficient: r=

(b) The least squares line: y^=

(c) The predicted grade for the eighth student:

(d) The residual for the eighth student:

Solutions

Expert Solution

The statistical software output for this problem is:

Hence,

a) Correlation coefficient (r) = -0.0036

b) Least square line: = 81.2029 - 0.0020x

c) Predicted grade = 81.153

d) Residual = 25 - 81.153 = -56.153


Related Solutions

A study was conducted to determine whether the final grade of a student in an introductory...
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 10 students are shown in the table below. Student 1 2 3 4 5 6 7 8 9 10 Score 75 43 37 53 64 62 43 64 75 55 Grade 81 85 98 71 64 65...
A study was conducted to determine whether the final grade of a student in an introductory...
A study was conducted to determine whether the final grade of a student in an introductory psychology course, x, is linearly related to his or her performance on the verbal ability test administered before college entrance, y. The verbal scores and final grades for 1010 students are shown in the table below. Student Verbal Score Final Grade 1 64 76 2 50 56 3 34 43 4 38 49 5 49 59 6 56 70 7 57 68 8 72...
A study was conducted to determine whether the final grade of a student in an introductory...
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 all 10 students in the class are shown in the table below. Student Verbal Score ?x Final Grade ?y 11 3636 9090 22 7474 8484 33 4848 8686 44 7474 6868 55 8080 7676 66 2828 9191 77...
A study was conducted to determine whether the final grade of a student in an introductory...
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 researchers hypothesized the linear model y=β0+β1xy=β0+β1x, where xx is the score on the verbal ability test and yy is the final grade in the psychology course. The verbal scores and final grades for students are shown in the table below. Student 1 2 3...
A study was conducted to determine whether the final grade of a student in an introductory...
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 1010 students are shown in the table below. Student Verbal Score xx Final Grade yy 1 43 87 2 60 67 3 29 77 4 73 100 5 52 88 6 26 89 7 47 73 8 44...
A study was conducted to determine whether the final grade of a student in an introductory...
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 1 / 42 / 88 2 / 68 / 65 3 / 31 / 83 4 / 68 / 64 5...
A study was conducted to determine whether the final grade of a student in an introductory...
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 1010 students are shown in the table below. Student Verbal Score xx Final Grade yy 11 6565 7878 22 5151 5858 33 6161 7474 44 4949 6161 55 3131 3434 66 6969 8282 77 4747 5252 88 7575...
A study was conducted to determine whether the final grade of a student in an introductory...
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 all 1010 students in the class are shown in the table below. Student Verbal Score xx Final Grade yy 11 3131 9595 22 5959 8585 33 2828 8181 44 4646 7979 55 5151 6464 66 3232 8181 77...
A study was conducted to determine whether the final grade of a student in an introductory...
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 all 1010 students in the class are shown in the table below. Student Verbal Score xx Final Grade yy 11 4242 8282 22 2626 7575 33 4747 7171 44 7272 7373 55 6565 9494 66 3737 7676 77...
A study was conducted to determine whether the final grade of a student in an introductory...
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 xx Final Grade yy 1 35 91 2 64 74 3 46 61 4 35 98 5 79 95 6 53 88 7 63 83 8 54...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT