Question

**College Graduation Rates.** Data from the College
Results Online website compared the 2011 graduation rate and median
SAT score for 92 similar-sized public universities and colleges in
the United States. The scatterplot below shows the relationship
between these two variables along with the least squares fit. Round
all calculated results to 4 decimal places.

The relationship between median SAT score and graduation rate is ? positive negative , ? weak strong , and ? linear non-linear .

2. The explanatory variable is ? graduation rate median SAT college year and the response variable is ? graduation rate median SAT college year .

The summary statistics for graduation rate and median SAT score are listed below. The correlation between graduation rate and median SAT score is 0.649.

Median SAT score: mean = 1033.3, standard deviation = 80.1

Graduation rate: mean = 51.8, standard deviation = 13.7

3. The equation of the regression line is y = + x

4. Complete the following sentence to interpret the slope of the regression line:

An increase of in Median SAT score corresponds to a/an ? decrease increase of in Graduation Rate.

5. The recorded median SAT score for Northern Michigan University is 1028. Use the regression equation to estimate the graduation rate for Northern Michigan University.

6. The recorded graduation rate for Northern Michigan University is 47.6. Complete the following sentence.

The residual for Northern Michigan University is .
This means the graduation rate at Northern Michigan University
is

**A.** lower than

**B.** higher than

**C.** the same as

the rate predicted by the regression model.

7. Stanford University (an elite private university in
California not included in this data set) has a median SAT score of
1455. Would it be appropriate to use this linear model to predict
the graduation rate for Stanford?

**A.** Yes, because 1455 is a reasonable median SAT
score for an elite university.

**B.** No, because 1455 is beyond the range of the
data used to build the regression model.

**C.** No, because 98.610% is too large to be a
reasonable graduation rate, even for an elite university.

Answer #1

1)The relationship between median SAT score and graduation rate is positive weak and linear

2) The explanatory variable is median SAT and the response variable is graduation rate

3)

x̅ = | 1033.3 | ||

y̅ = | 51.8 | ||

sx= | 80.1 | ||

sy = | 13.7 | ||

r= | 0.649 | ||

slope b1=r*sy/sx= | 0.1110 | ||

intercept bo=y̅ +r(sy/sx)*(x̅)= | -62.8989 |

y^ =-62.8989+0.1110 x

4)

An increase of 1 in Median SAT score corresponds to a increase of 0.111 in Graduation Rate.

5)

predicted value =0.111002496878901*1028+-62.8988800249688= | 51.2117 |

6)residual =actual -predicted =47.6-51.2117 = -3.6117

**A.** lower than

7()**B.** No, because 1455 is beyond the range of the
data used to build the regression model.

(1 point) College Graduation
Rates. Data from the College Results Online
website compared the 2011 graduation rate and school size for 92
similar-sized public universities and colleges in the United
States. Statistical software was used to create the linear
regression model using size as the explanatory variable and
graduation rate as the response variable. Summary output from the
software and the scatter plot are shown below. Round all calculated
results to four decimal places.
Coefficients
Estimate
Std. Error
t value
Pr(>|t|)...

1.)The graduation rate of college students is a subject of
considerable interest and is a frequent topic in the news.
College/university administrators use the graduation rate as a
barometer of student success at their respective institution. State
legislators are interested in the graduation rate since most states
subsidize the cost of educating each in-state student at public
universities and colleges.
Graduation rates are also used to evaluate university athletic
programs. Athletic directors do not relish the negative publicity
that results...

A sample of 18 universities was taken. The total
cost for the year (including room and board) and the median SAT
score (maximum total is 2400) at each school were recorded. It was
felt that schools with higher median SAT scores would have a better
reputation and would charge more tuition as a result of that. The
data are in the following table.
University
Total cost ($)
Median SAT
1
21,700
1980
2
15,600
1890
3
16,900
1990
4
15,400...

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Use the data to calculate a 90% confidence interval for uM - uF,
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From 1995 to 2012, researchers surveyed the number of honeybee
colonies in order to determine whether the population changed over
time. The scatterplot below shows the relationship between these
two variables along with the least squares fit. Round all
calculated results to 4 decimal places.
1.The relationship between year and number of honeybee colonies
is ? positive negative , ? weak strong ,
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7. A group of friends who graduated from college within the last
couple of years really enjoyed statistics. To amuse themselves one
Friday night, they decided to analyze the relationship between
their incomes and the number of years since they graduated. They
found the following data:
Adam
Joe
Nick
Katie
Marie
Anne
Years since graduation
4
2
1
2
4
1
Salary / $1000
87
78
69
79
88
68
While these are not many data points,
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Please answer the following Case
analysis questions
1-How is New Balance performing compared to its primary rivals?
How will the acquisition of Reebok by Adidas impact the structure
of the athletic shoe industry? Is this likely to be favorable or
unfavorable for New Balance?
2- What issues does New Balance management need to address?
3-What recommendations would you make to New Balance Management?
What does New Balance need to do to continue to be successful?
Should management continue to invest...

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