Question

Below are data from a collection of students who took the SATs. Based on the information provided, if you wanted to predict someone’s score on the Math section from their score on the Verbal section, what would the equation of the line be? If someone scored a 460 on the Verbal section, what’s the best estimate for their score on the Math section?

N = 220

SAT Math: mean = 580 variance = 4762

SAT Verbal: mean= 620 variance = 4413

Covariance = 1590.5

Answer #1

Regression equation of y on x is given by :

Now ,

So,

Here , y = SAT math , and x= SAT verbal

So,

So, the best line for SAT Math score is

SAT Math = 356.552 + 0.3604 x SAT Verbal

for 460 in the SAT Verbal , the best prediction for SAT Math is :

SAT math = 356.552+0.3604 x 460 = 522.336

The students who took Mrs. Johnson's math quiz scored a
mean of 51 with a variance of 46. Since the scores were low, Mrs.
Johnson decided to curve the scores. If Peter had an original score
of 32 and a curved score of 68, and Rachel had an original score of
86 and a curved score of 95, what is the sum of the mean and
standard deviation of the new score distribution? Round to the
nearest thousandth.

Kaplan is interested in determining if the average mathematics
GRE score improved for students who took their preparation course.
The GRE Math section is scored on a130-170 point scale, in 1 point
increments. To conduct this study, 10 students who tookthe GRE and
then retook it after taking their course were randomly picked from
thepopulation. Their scores before and after are noted below:
Before
A. 147
B. 152
C. 155
D. 138
E. 147
F. 153
G. 151
H. 158...

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