T9 help! 1

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    Question 1

    Die volgende tabel toon die persentasies behaal deur 10 Biometrie studente in ‘n toets (X) en die finale eksamen (Y)./The following table shows the percentages obtained by 10 Biometry students in a test (X) and the final examination (Y).

    X 75 80 93 65 87 71 98 68 84 77
    Y 82 78 86 72 91 80 95 72 89 74

    Vind ‘n 99% vertrouensinterval vir die verwagte eksamenpunt indien die toetspunt 70 is. /Find a 99% confidence interval for the expected examination mark if the test mark is 70.

    [68.92 ; 81.91]
    [69.19 ; 81.65]
    [69.97 ; 80.87]
    [63.86 ; 86.98]
    [71.147 ; 79.70]

    Question 2

    ‘n Pearsonkorrelasiekoëffisiënt van 0 (r=0) vir die veranderlikes X en Y impliseer dat:/ A Pearson correlation coefficient of 0 (r=0) for the variables X and Y implies that:
    1. daar geen verwantskap tussen X en Y is nie. /there is no relationship between X and Y.

    2. X en Y nie gekorreleerd is nie. /X and Y is not correlated

    3. daar ‘n gebrek aan lineariteit tussen X en Y is. /there is a lack of linearity between X and Y.

    (i) & (ii)
    (i) & (ii) & (iii)
    (ii) & (iii)
    (ii)
    Geeneen van bogenoemde. / None of the above

    Question 3

    ‘n Eenvoudige lineêre regressie analise vir n = 20 data punte het die volgende resultate gelewer: /A simple linear regression analysis for n = 20 data points produced the following results:

    ?= 2.1 + 3.4x? x = 50 ? y = 212 SXX = 4.77 SXY =16.22 SYY= 59.21

    Bepaal SSE. / Find SSE.

    4.0552
    25.148
    42.992
    49.193
    185.094

    Question 4

    Die volgende tabel toon die persentasies behaal deur 10 Biometrie studente in ‘n toets (X) en die finale eksamen (Y)./The following table shows the percentages obtained by 10 Biometry students in a test (X) and the final examination (Y).

    X 75 80 93 65 87 71 98 68 84 77
    Y 82 78 86 72 91 80 95 72 89 74

    Toets betekenisvolle regressie. Op ? = 0.01 is die tabel waarde________ . /Test for significance regression. At ? = 0.01 the table value is ________ .

    2.306
    3.169
    2.228
    3.355
    1.397

    Question 5

    ‘n Eenvoudige lineêre regressie analise vir n = 20 data punte het die volgende resultate gelewer: /A simple linear regression analysis for n =20 data points produced the following results:

    ?= 2.1 + 3.4x? x = 50 ? y = 212 SXX = 4.77 SXY =16.22 SYY= 59.21

    Bepaal ‘n 95% vertrouensinterval vir ?as x = 3.0 /Find a 95% confidence interval for ? when x = 3.0.

    [11.9809 ; 12.6191]
    [10.3848 ; 10.8340]
    [10.5763 ; 10.6237]
    [10.1258 ; 11.0742]
    [10.3767 ; 10.8233]

    Question 6

    Die volgende tabel toon die persentasies behaal deur 10 Biometrie studente in ‘n toets (X) en die finale eksamen (Y)./The following table shows the percentages obtained by 10 Biometry students in a test (X) and the final examination (Y).

    X 75 80 93 65 87 71 98 68 84 77
    Y 82 78 86 72 91 80 95 72 89 74

    Vind die vergelyking van die regressielyn wat gebruik kan word om eksamenpunte te beraam vanaf toetspunte./Find the equation of the regression line which can be used to estimate examination marks from test marks.

    ? = 29.13 – 0.66x
    ? = 0.66 + 29.13x
    ? = 0.66 – 29.13x
    ? = 29.13 + 0.66x
    ? = 79.8 – 81.9x

    Question 7

    Die volgende tabel toon die persentasies behaal deur 10 Biometrie studente in ‘n toets (X) en die finale eksamen (Y). /The following table shows the percentages obtained by 10 Biometry students in a test (X) and the final examination (Y).

    X 75 80 93 65 87 71 98 68 84 77
    Y 82 78 86 72 91 80 95 72 89 74

    Vind ‘n 90% vertrouensinterval vir die verwagte eksamenpunt indien die toetspunt 70 is./Find a 90% confidence interval for the expected examination mark if the test mark is 70.

    [71.97 ; 78.87]
    [69.19 ; 81.65]
    [6901 ; 81.83]
    [71.14 ; 79.70]
    [67.45 ; 83.36]

    Question 8

    Die volgende tabel toon die persentasies behaal deur 10 Biometrie studente in ‘n toets (X) en die finale eksamen (Y). /The following table shows the percentages obtained by 10 Biometry students in a test (X) and the final examination (Y).

    X 75 80 93 65 87 71 98 68 84 77
    Y 82 78 86 72 91 80 95 72 89 74

    Toets vir betekenisvolle regressie. Gee die toets statistiek waarde./Test for significance regression. Give the test statistic value.

    2.306
    143.4
    5.04
    5.3363

    Question 9

    ‘n Eenvoudige lineêre regressie analise vir n = 20 data punte het die volgende resultate gelewer: /A simple linear regression analysis for n =20 data points produced the following results:
    ?= 2.1 + 3.4x? x = 50 ? y = 212 SXX = 4.77 SXY =16.22 SYY= 59.21
    Bepaal ‘n 95% vertrouensinterval vir die helling ?. /Find a 95% confidence interval of the slope ?.

    [10.3767 ; 10.8233]
    [2.9434 ; 3.8566]
    [1.1381 ; 5.6619]
    [2.9430 ; 3.8570]
    [3.1907 ; 3.6093]

    Question 10

    ‘n Eenvoudige lineêre regressie analise vir n = 20 data punte het die volgende resultate gelewer: /A simple linear regression analysis for n =20 data points produced the following results:
    ?= 2.1 + 3.4x? x = 50 ? y = 212 SXX = 4.77 SXY =16.22 SYY= 59.21
    Bepaal: Se2 /Determine: Se2

    1.3971
    10.283
    0.2253
    0.2138
    2.7329

    Question 11

    Die volgende tabel toon die persentasies behaal deur 10 Biometrie studente in ‘n toets (X) en die finale eksamen (Y)./The following table shows the percentages obtained by 10 Biometry students in a test (X) and the final examination (Y).

    X 75 80 93 65 87 71 98 68 84 77
    Y 82 78 86 72 91 80 95 72 89 74

    Vind ‘n 95% vertrouensinterval vir die verwagte eksamenpunt indien die toetspunt 70 is./Find a 95% confidence interval for the expected examination mark if the test mark is 70.

    [71.97 ; 78.87]
    [69.19 ; 81.65]
    [69.01 ; 81.83]
    [71.14 ; 79.70]
    [67.45 ; 83.36]

    Question 12

    Die volgende tabel toon die persentasies behaal deur 10 Biometrie studente in ‘n toets (X) en die finale eksamen (Y)./The following table shows the percentages obtained by 10 Biometry students in a test (X) and the final examination (Y).

    X 75 80 93 65 87 71 98 68 84 77
    Y 82 78 86 72 91 80 95 72 89 74

    Bereken die korrelasiekoeffisient./Calculate the correlation coefficient.

    0.0011
    0.7606
    0.8721
    0.9989
    0.9980

    Question 13

    Die volgende tabel toon die persentasies behaal deur 10 Biometrie studente in ‘n toets (X) en die finale eksamen (Y)./The following table shows the percentages obtained by 10 Biometry students in a test (X) and the final examination (Y).

    X 75 80 93 65 87 71 98 68 84 77
    Y 82 78 86 72 91 80 95 72 89 74

    Vind die persentasie variasie wat deur die regressie verklaar word. /Find the percentage of variation explained by the regression.

    0.0011 * 100
    0.7606*100
    0.8721*100
    0.9989*100
    0.9980*100

    Question 14

    Die volgende tabel toon die persentasies behaal deur 10 Biometrie studente in ‘n toets (X) en die finale eksamen (Y)./The following table shows the percentages obtained by 10 Biometry students in a test (X) and the final examination (Y).

    X 75 80 93 65 87 71 98 68 84 77
    Y 82 78 86 72 91 80 95 72 89 74

    Bereken Se2./Calculate Se2.

    17.93
    4.23
    143.4
    11.97

    Question 15

    Die volgende tabel toon die persentasies behaal deur 10 Biometrie studente in ‘n toets (X) en die finale eksamen (Y)./The following table shows the percentages obtained by 10 Biometry students in a test (X) and the final examination (Y).

    X 75 80 93 65 87 71 98 68 84 77
    Y 82 78 86 72 91 80 95 72 89 74

    Bereken SSE./Calculate SSE.

    17.93
    4.23
    143.4
    11.97

    Question 16

    Die volgende tabel toon die persentasies behaal deur 10 Biometrie studente in ‘n toets (X) en die finale eksamen (Y)./The following table shows the percentages obtained by 10 Biometry students in a test (X) and the final examination (Y).

    X 75 80 93 65 87 71 98 68 84 77
    Y 82 78 86 72 91 80 95 72 89 74

    Vind ‘n 95% vertouensinterval vir die ? /Find the 95% confidence interval for the ?.

    [0.60 ; 0.71]
    [– 1.2040 ; 2.52]
    [0.62 ; 0.69]
    [– 0.62 ; 1.94]

    Question 17

    Gegee die inligting van huisgrootte (X) in tien vierkante meters en die verkoopprys (Y) in R 10000 van huise in Bloemfontein: /Given the information on home size (X) in ten squared metres and the sale price (Y) in R 10000 of houses in Bloemfontein:

    X 24 32 15 30 26 20 28 32
    Y 60 98 36 84 78 50 82 104

    Bereken SXX/Calculate SXX

    970
    252.875
    3 872
    207
    Geeneen van bogenoemde. / None of the above

    Question 18Gegee die inligting van huisgrootte (X) in tien vierkante meters en die verkoopprys (Y) in R 10000 van huise in Bloemfontein: /Given the information on home size (X) in ten squared metres and the sale price (Y) in R 10000 of houses in Bloemfontein:

    X 24 32 15 30 26 20 28 32
    Y 60 98 36 84 78 50 82 104

    Bereken SYY/ Calculate SYY

    970
    525.875
    3 872
    207
    Geeneen van bogenoemde. / None of the above





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