Predicting GPA from Verbal SAT score It is possible to use the information in StudentSurvey to...
Predicting GPA from Verbal SAT score
It is possible to use the information in
StudentSurvey to fit a linear model to use Verbal
SAT score to predict a student's grade point average in college.
The regression equation is
GPA^=2.03+0.00189⋅VerbalSAT.
Click here for the dataset associated with this question.
(a) What GPA does the model predict for a student who gets a 510 on
the Verbal SAT exam? What GPA is predicted for a student who gets a
650 ?
(b) 95% confidence interval and a 95% prediction interval for those who finished with a 510?
(c) 95% confidence interval and 95% prediction interval for those who finished with a 650?
Homework Answers
Add Answer to:
Predicting GPA from Verbal SAT score
It is possible to use the information in
StudentSurvey to...
Figure 9.5 Scatterplot of grade point average versus verbal SAT score Source: Ryan, Joiner, and Ryan,...
Figure 9.5 Scatterplot of grade point average versus verbal SAT score Source: Ryan, Joiner, and Ryan, 1985, pp. 309–312. iner, and Ryan. 3 Grade point average 350 450 650 750 550 Verbal SAT score The regression line relating verbal SAT scores and GPA for the data exhibited in Figure 9.5 is GPA = 0.539 + (0.00362)(verbal SAT). Predict the average GPA for those with verbal SAT scores of 600.
1.) Interpret the estimate of the intercept Bo 2.) Estimate the expected GPA for a student...
1.) Interpret the estimate of the intercept Bo
2.) Estimate the expected GPA for a student with a HS GPA of 3.5
and a verbal SAT score of 600, and construct a 95 percent
confidence interval for the expected GPA.
3.) Predict the GPA for a new student with a HS GPA of 3.5 and a
verbal SAT score of 600, and construct a 95 percent prediction
interval for the new student’s GPA.
Call: lm (formula = GPA ~ HSGPA...
Estimate: GPA 50 + 61GRE + ε, where GRE is a student's score on the math portion of the Graduate ...
Excel File
GPA
GRE
2.8
720
3.1
740
3.5
720
3.5
740
2.2
750
3.5
770
3.9
640
3.6
750
2.4
680
2.3
770
2.3
700
2.9
770
2.1
640
2.2
770
2.5
740
3
770
3.9
670
3.1
760
3.3
680
2.1
690
2.5
750
3.1
700
2.6
680
2.7
650
Estimate: GPA 50 + 61GRE + ε, where GRE is a student's score on the math portion of the Graduate Record Examination (GRE) score and GPA is the...
Estimate: GPA = Bo + BIGRE + ε, where GRE is a student's score on the...
Estimate: GPA = Bo + BIGRE + ε, where GRE is a student's score on the math portion of the Graduate Record Examination (GRE) score and GPA is the student's grade point average in graduate school. Click here for the Excel Data File Click here for the CSV Data File a. Use R's predict() function to construct the 90% confidence interval for the expected GPA for an individual who scored 730 on the math portion of the GRE. (Round answers...
12. We are interested in predicting a college freshman's GPA for their first semester from their...
12. We are interested in predicting a college freshman's GPA for their first semester from their overall ACT test score using a linear relationship. a) (4 pts.) Do we need to consider anything before we find the least squares line? If so, what and why? If not, why not? 1 b) (4 pts.) Once we have calculated the least squares line we want to utilize it to predict a student's first semester GPA. Are there any concerns with utilizing this...
12. We are interested in predicting a college freshman's GPA for their first semester from their...
12. We are interested in predicting a college freshman's GPA for their first semester from their overall ACT test score using a linear relationship. a) (4 pts.) Do we need to consider anything before we find the least squares line? If so, what and why? If not, why not? A b) (4 pts. Once we have calculated the least squares line we want to utilize it to predict a student's first semester GPA. Are there any concerns with utilizing this...
Use the Age data set and the GPA data set from the Class Survey spreadsheet to complete this proj...
Use the Age data set and the GPA data set from the Class Survey spreadsheet to complete this project. (1 points) By submitting this completed project for grading, you are agreeing that you worked independently on this project and the work is yours. If you are found to have worked with anyone or copied another student's wo you will be given a zero on this project Question: Is there a relationship between a student's age(x), in years, and their Grade...
A dean of a business school has fit a regression model to predict college GPA based...
A dean of a business school has fit a regression model to predict college GPA based on a student's SAT score (SAT_Score), the percentile at which the student graduated high school (HS_Percentile) (for instance, graduating 4th in a class of 500 implies that 496 other students are at or below that student, so the percentile is 496/500 x 100 = 99), and the total college hours the student has accumulated (Total_Hours). The regression results are shown below SUMMARY OUTPUT Regression...
The scater diagram was predicted from the midterm score using regression line. Use the above information...
The scater diagram was predicted from the midterm score using regression line. Use the above information to question #2-1 to question #2-5: football-shaped For cach studen, the Final score was answer 2-13. (1 mark) Predict the final score for a student whose midierm score was unknown. C) 50 (D)60. A) 15 B) 20 2-14. (1 mark) Predict the midterm score for a sudent whose final score was 30. A)12 B)35 C43D) 51 None of the above. 2-15. (1mark) The above...
SAT Income GPA 1651 47000 2.79 1581 34000 2.97 1790 90000 3.48 1626 60000 2.5 1754...
SAT
Income
GPA
1651
47000
2.79
1581
34000
2.97
1790
90000
3.48
1626
60000
2.5
1754
113000
2.92
1754
71000
3.76
1706
105000
2.8
1765
59000
3.26
1786
50000
3.89
1686
27000
3.67
1790
107000
3.31
1707
109000
3.16
1804
81000
3.73
1712
62000
3.21
1607
72000
2.8
1738
63000
3.7
1790
55000
3.86
1796
64000
3.91
1547
47000
2.63
1692
89000
2.98
1711
42000
3.45
1689
70000
3.06
1740
118000
2.88
1940
113000
3.96
5 A researcher studies the...
Figure 9.5 Scatterplot of grade point average versus verbal SAT score Source: Ryan, Joiner, and Ryan, 1985, pp. 309–312. iner, and Ryan. 3 Grade point average 350 450 650 750 550 Verbal SAT score The regression line relating verbal SAT scores and GPA for the data exhibited in Figure 9.5 is GPA = 0.539 + (0.00362)(verbal SAT). Predict the average GPA for those with verbal SAT scores of 600.
1.) Interpret the estimate of the intercept Bo
2.) Estimate the expected GPA for a student with a HS GPA of 3.5
and a verbal SAT score of 600, and construct a 95 percent
confidence interval for the expected GPA.
3.) Predict the GPA for a new student with a HS GPA of 3.5 and a
verbal SAT score of 600, and construct a 95 percent prediction
interval for the new student’s GPA.
Call: lm (formula = GPA ~ HSGPA...
Excel File
GPA
GRE
2.8
720
3.1
740
3.5
720
3.5
740
2.2
750
3.5
770
3.9
640
3.6
750
2.4
680
2.3
770
2.3
700
2.9
770
2.1
640
2.2
770
2.5
740
3
770
3.9
670
3.1
760
3.3
680
2.1
690
2.5
750
3.1
700
2.6
680
2.7
650
Estimate: GPA 50 + 61GRE + ε, where GRE is a student's score on the math portion of the Graduate Record Examination (GRE) score and GPA is the...
Estimate: GPA = Bo + BIGRE + ε, where GRE is a student's score on the math portion of the Graduate Record Examination (GRE) score and GPA is the student's grade point average in graduate school. Click here for the Excel Data File Click here for the CSV Data File a. Use R's predict() function to construct the 90% confidence interval for the expected GPA for an individual who scored 730 on the math portion of the GRE. (Round answers...
12. We are interested in predicting a college freshman's GPA for their first semester from their overall ACT test score using a linear relationship. a) (4 pts.) Do we need to consider anything before we find the least squares line? If so, what and why? If not, why not? 1 b) (4 pts.) Once we have calculated the least squares line we want to utilize it to predict a student's first semester GPA. Are there any concerns with utilizing this...
12. We are interested in predicting a college freshman's GPA for their first semester from their overall ACT test score using a linear relationship. a) (4 pts.) Do we need to consider anything before we find the least squares line? If so, what and why? If not, why not? A b) (4 pts. Once we have calculated the least squares line we want to utilize it to predict a student's first semester GPA. Are there any concerns with utilizing this...
Use the Age data set and the GPA data set from the Class Survey spreadsheet to complete this project. (1 points) By submitting this completed project for grading, you are agreeing that you worked independently on this project and the work is yours. If you are found to have worked with anyone or copied another student's wo you will be given a zero on this project Question: Is there a relationship between a student's age(x), in years, and their Grade...
A dean of a business school has fit a regression model to predict college GPA based on a student's SAT score (SAT_Score), the percentile at which the student graduated high school (HS_Percentile) (for instance, graduating 4th in a class of 500 implies that 496 other students are at or below that student, so the percentile is 496/500 x 100 = 99), and the total college hours the student has accumulated (Total_Hours). The regression results are shown below SUMMARY OUTPUT Regression...
The scater diagram was predicted from the midterm score using regression line. Use the above information to question #2-1 to question #2-5: football-shaped For cach studen, the Final score was answer 2-13. (1 mark) Predict the final score for a student whose midierm score was unknown. C) 50 (D)60. A) 15 B) 20 2-14. (1 mark) Predict the midterm score for a sudent whose final score was 30. A)12 B)35 C43D) 51 None of the above. 2-15. (1mark) The above...
SAT
Income
GPA
1651
47000
2.79
1581
34000
2.97
1790
90000
3.48
1626
60000
2.5
1754
113000
2.92
1754
71000
3.76
1706
105000
2.8
1765
59000
3.26
1786
50000
3.89
1686
27000
3.67
1790
107000
3.31
1707
109000
3.16
1804
81000
3.73
1712
62000
3.21
1607
72000
2.8
1738
63000
3.7
1790
55000
3.86
1796
64000
3.91
1547
47000
2.63
1692
89000
2.98
1711
42000
3.45
1689
70000
3.06
1740
118000
2.88
1940
113000
3.96
5 A researcher studies the...
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