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Summary regression, correlation and hypothesis testing

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Comprehensive A-level statistics notes, featuring clear explanations, practical examples, key formulas, visual aids, and concise summaries of essential concepts.

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July 26, 2024
Number of pages
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Written in
2023/2024
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Regression correlation and Hypothesis testing

The regression bit is the act of setting the parameters of our model here the
gradient and the Y intercept of the line of best fit to best explain the data

Extrapolation making predictions outside the original data range
this is unreliable as the trendmay not continue outside the given range

Linear regression a be
y
Exponential regression ab
y
logy logab
logy logatlogb
logy logatoclogb



O

a 0.2215 0.07920C
y E O X

0.2215
y
109g
0.2215
0.2215
10
g
0.60 12dp 70
9
Sothere is a
growing colony at
E O



bl girl
109g 0.2215 0.0792 t
0.2215 0.0792
10
g

, g
t
0792
100
0.2215
10 go.org
g
0.6 1.2
9
K OG 6 1.2




2 0.32
yP 2 0.34
log
0.3 E
P 102 3 E
P 102 100
P 100 1.995
K 100 6 1.995


Hypothesis testing for correlation
r is the PMC of a sample
P is the PMCC of the whole population




no



null hypothesis will always be

Ho p o
data sheet we get our
Hy p o using valve
significant
Sample size 10 O 4428
r 0.21
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