Florida University Regression Paper Essay

Correlation and Regression

In the 21st Century the Apple iPhone is leading the technology revolution and is the first choice of Florida's students.   Apple had a 23.5% market share in the smartphone industry over the last five quarters, selling 37 million iPhones (Brownlow, 2012).   This paper will determine if there is a correlation between Florida students who own an iPhone, and decide to purchase an iPad over other tablets.
Florida Universities Student Population iPads Purchased
Own iPhone (thousands) (thousands)
University of Florida 52 31
University of Phoenix (Tampa) 28 19
Florida Atlantic University 31 20
Florida International University 34 23
Florida Gulf Coast University 36 24
University of Central Florida 38 25
University of South Florida 40 35
University of West Florida 41 25
University of North Florida 44 26
Florida State University 46 28
Coefficient of Correlation = R = .746

Correlation Matrix

# 1 # 2
# 1 1.000
# 2 .746 1.000

10 sample size

± .632 critical value .05 (two-tail)
± .765 critical value .01 (two-tail)

There is a positive correlation between the Florida student population that owns an iPhone, and decides to buy an iPad tablet.


Coefficient of Determination = R2 = 0.557
Regression Analysis

r² 0.557
Adjusted r² 0.501
r   0.746
Std. Error   3.398
n   10
k   1
Dep. Var. Y

ANOVA
table
Source SS   df   MS F p-value
Regression 116.0021 1   116.0021 10.04 .0132
Residual 92.3979 8   11.5497
Total 208.4000 9  


Regression output confidence interval
variables coefficients std. error   t (df=8) p-value 95% lower 95% upper std. coeff.
Intercept 6.1833 6.2203 0.994 .3493 -8.1606 20.5273 0.000
X1 0.4979 0.1571 3.169 .0132...