s1 - correlation and regression

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    1.[ Jan 2009 Q(1) ] Ans : (a) , (b)

    , ,

    (c) Every (extra) hour spent using the programme produces about 9.5 marks improvement

    (d) (e) Model may not be valid since [8h is] outside the range[ 0.54].

    2. [Jan 2011 Q(4) ] Ans : (a) (b)

    IAL and Edexcel Past Paper Question

    S1Correlation and Regression

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    3. [ June2009 Q(1) ]Ans : (a)

    ,

    (b)

    (c) As the temperature increases the pressure increases.

    4. [ Jan 2010 Q(6) ] Ans : (a)

    ,

    (b)

    (c)

    (Pmcc shows positive correlation)Older patients have higher blood pressure.

    (e)

    ,

    ,

    (f) Line drawn with correct intercept, and gradient

    (g)

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    5. [ June 2010 Q(6) ]Ans : (b)The pointslie reasonably close to a straightline(c) (d) b = 2.026 ,a =14.97

    (e) A flight costs 2.03 (or about 2)for every extra 100kmor about 2pper km.

    (f) so

    So

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    6. [ June 2010 Q(4) ] Ans : (a) r = 0.763(b) Teams with high attendance scored more goals (o.e., statement in context) (c) 0.763

    7. [ Jan 2011 Q(1) ] Ans : (b) (c) As the length of the salmon increases the weight increases.

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    8. [June 2011 Q(1) ] Ans : (a) 210 (b) (c) Higher towns have lower temperature ortemp. decreases as height increases (d) 3.53 (e)

    9. [June 2011 Q(7) ] Ans : (a)64.8 (b) , , (c) (d) Should be reliable , since 25 cm ( or or footlength) is within the range of the data(e) Line is for childrena different equation would apply to adults

    (or) Children are still growing, height will increase more than foot length.

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    10.[Jan 2012 Q(5) ] Ans : (a) (b)

    (c)

    , ,

    (d) The explanatory variable is the age of each coin.This is because the age is set and the weight varies.

    (e) (i) awrt 11.5 (ii) Decrease(in weight coin of 0.1052g) = 0.1 or -0.1 or increase of (f) Decrease ; removing the fake will result in a better linear fit so will be closer to .

    11.* June 2012 Q(2) + Ans : (a) 0.818(b)0.818(c)Positive correlation, so there is a support for banks claim.

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    12.[ June 2012 Q(3) ] Ans : (b) Points lie close to a straight line (c) , (d) (e) .Correct line plotted as peroverlay. For p = 5 ; 2 < t < 3 and for p =30 ; 10 < t < 11.Theor line must stretch roughly as far as the points

    and go through the circle. (f) awrt 5.8

    13.[ Jan 2013 Q(3) ] Ans : (b) (c) 5.9 (d)Should be reliable since 10 is in the range.

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    14.[Jan 2013 Q(1) ] Ans: (a) (b) (c) Positive, Expect more revision to result in a better grade.

    15.[June 2013 q(1) ] Ans : (a) , (b) PMCC = -0.952 (c) Yes, is closer to -1,Strong evidence to suggest negative correlation exists. (d) b= -0.015027 , a = 24.1604 , t = 24.20.015h

    (e) for each increase in height of 1m, the temperature falls by (f) difference.

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    16. [IAL Jan 2104 q(1) ] Ans : a) (b) (c) Poor basis for a decision, Brad is wrong.

    16..[IAL Jan 2104 q(3) ] Ans : (b) Negative Correlation/ as t increases, p decreases (c) (d) awrt 458 (e) Extrapolation or 39 is outside the range of data , Not a good decision or the prediction

    would be unreliable.