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SA-IAL-S1-CR1-0042 marksL1 FoundationNon-calculatorS values

For

5

pairs of values,

\sum x=15

\sum y=30

and

\sum xy=100

. Find

S_{xy}

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SA-IAL-S1-CR2-0011 markL1 FoundationNon-calculatorRegression line

For a set of data,

S_{xx}=12

and

S_{xy}=30

. Find the gradient

b

of the regression line of

y

x

Salam Academy Original Practice · Proposed mark scheme

SA-IAL-S1-CR2-0022 marksL1 FoundationNon-calculatorRegression line

The regression line of

y

x

has gradient

2.5

. Given

\bar x=4

and

\bar y=13

, find

a

Salam Academy Original Practice · Proposed mark scheme

SA-IAL-S1-CR2-0031 markL1 FoundationNon-calculatorUsing the line

Use the regression line

y=3+2.5x

to estimate

y

when

x=6

Salam Academy Original Practice · Proposed mark scheme

SA-IAL-S1-CR-G012 marksL1 FoundationCalculatorS values

For

8

pairs of values,

\sum x=48

and

\sum x^2=320

. Find

S_{xx}

Salam Academy Original Practice · Proposed mark scheme

SA-IAL-S1-DR1-0011 markL1 FoundationNon-calculatorProbability function

P(X=x)=k

for

x=1,2,3,4,5

. Find

k

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SA-IAL-S1-DR1-0021 markL1 FoundationNon-calculatorProbability function

X

takes the values

1,2,3,4

with probabilities

0.3

0.25

p

and

0.15

. Find

p

Salam Academy Original Practice · Proposed mark scheme

SA-IAL-S1-DR1-0031 markL1 FoundationNon-calculatorProbability function

X

takes the values

1,2,3,4

with probabilities

0.1

0.4

0.3

0.2

. Find

P(X\ge2)

Salam Academy Original Practice · Proposed mark scheme

SA-IAL-S1-DR2-0011 markL1 FoundationNon-calculatorE and Var

X

takes the values

0,1,2

with probabilities

0.25

0.5

0.25

. Find

E(X)

Salam Academy Original Practice · Proposed mark scheme

SA-IAL-S1-DR2-0021 markL1 FoundationNon-calculatorE and Var

For the same distribution (

0,1,2

with probabilities

0.25

0.5

0.25

), find

E(X^2)

Salam Academy Original Practice · Proposed mark scheme

SA-IAL-S1-DR2-0031 markL1 FoundationNon-calculatorE and Var

Using

E(X)=1

and

E(X^2)=1.5

, find

\text{Var}(X)

Salam Academy Original Practice · Proposed mark scheme

SA-IAL-S1-DR-G012 marksL1 FoundationCalculatorProbability function

P(X=x)=kx

for

x=1,2,3,4

. Find

k

Salam Academy Original Practice · Proposed mark scheme

SA-IAL-S1-MD-Q011 markL1 FoundationCalculatorModelling cycle

A statistical model is

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SA-IAL-S1-MD-Q021 markL1 FoundationCalculatorModelling cycle

Which is the correct order of the modelling cycle?

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SA-IAL-S1-MD-Q031 markL1 FoundationCalculatorEvaluating models

An advantage of using a statistical model is that it

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SA-IAL-S1-MD-Q061 markL1 FoundationCalculatorModelling cycle

In the modelling cycle, data are collected in order to

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SA-IAL-S1-MD-Q101 markL1 FoundationCalculatorModelling cycle

After a model has been refined, the next step is to

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SA-IAL-S2-CD-0032 marksL1 FoundationCalculatorUniform probabilities

X\sim U[0,20]

. Find

P(4<X\le9)

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SA-IAL-S2-CD1-0011 markL1 FoundationNon-calculatorUniform probabilities

X\sim U[0,5]

. Write down the value of the probability density function for

0\le x\le5

Salam Academy Original Practice · Proposed mark scheme

SA-IAL-S2-CD1-0021 markL1 FoundationNon-calculatorMean & variance

X\sim U[3,11]

. Write down

E(X)

Salam Academy Original Practice · Proposed mark scheme