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Statistics And Data Science / Statistiek en Datawetenskap - 188

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’n Kriminoloog glo dat reënweer misdaadvlakke beïnvloed. Die tabel hieronder gee die aantal dae wat dit gereën het en die aantal misdade wat gerapporteer is gedurende Mei van 2005 tot 2009. / A criminologist believes that rainy weather influences crime levels. The table below shows the number of rainy days and number of crimes reported in May from 2005 to 2009.

 

 

2005

2006

2007

2008

2009

Aantal reëndae / Number of rainy days

7

15

10

8

22

Aantal misdade / Number of crimes

31

46

29

38

15

 

Die verwantskap tussen die aantal reëndae en die aantal misdade kan as volg beskryf word: / The relationship between the number of rainy days and number of crimes can be described as follows:

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’n Kriminoloog glo dat reënweer misdaadvlakke beïnvloed. Die tabel hieronder gee die aantal dae wat dit gereën het en die aantal misdade wat gerapporteer is gedurende Mei van 2005 tot 2009. / A criminologist believes that rainy weather influences crime levels. The table below shows the number of rainy days and number of crimes reported in May from 2005 to 2009.

 

 

2005

2006

2007

2008

2009

Aantal reëndae / Number of rainy days

7

15

10

8

22

Aantal misdade / Number of crimes

31

46

29

38

15

 

Die korrelasie koëffisiënt is / The correlation coefficient is

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100%
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’n Kriminoloog glo dat reënweer misdaadvlakke beïnvloed. Die tabel hieronder gee die aantal dae wat dit gereën het en die aantal misdade wat gerapporteer is gedurende Mei van 2005 tot 2009. / A criminologist believes that rainy weather influences crime levels. The table below shows the number of rainy days and number of crimes reported in May from 2005 to 2009.

 

 

2005

2006

2007

2008

2009

Aantal reëndae / Number of rainy days

7

15

10

8

22

Aantal misdade / Number of crimes

31

46

29

38

15

 

Die bepaalingskoëffisiënt is / The coefficient of determination is

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0%
0%
0%
View this question

’n Kriminoloog glo dat reënweer misdaadvlakke beïnvloed. Die tabel hieronder gee die aantal dae wat dit gereën het en die aantal misdade wat gerapporteer is gedurende Mei van 2005 tot 2009. / A criminologist believes that rainy weather influences crime levels. The table below shows the number of rainy days and number of crimes reported in May from 2005 to 2009.

 

 

2005

2006

2007

2008

2009

Aantal reëndae / Number of rainy days

7

15

10

8

22

Aantal misdade / Number of crimes

31

46

29

38

15

 

Die beraamde waarde vir die helling is / The estimated value of the slope is

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Watter een van die volgende is nie ʼn aanname vir enkelvoudige lineêre regressie nie? / Which of the following is not an assumption for simple linear regression?

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Aanvaar ’n lineêre verwantskap tussen X en Y. Indien die korrelasiekoëffisiënt r = -0.4, dan / Assume a linear relationship between X and Y. If the correlation coefficient r = -0.4, then

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Beskou die lineêre model hieronder: / Consider the linear model below:

Y with hat on top equals 3.5 plus 2 X

Voorspel die gemiddelde van Y vir X = 7.5. / Predict the mean of Y for X = 7.5.

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ʼn Bemarker ondersoek die verwantskap tussen die bedrag spandeer op advertensies en die verkope van ʼn spesifieke produk. Verkope en die uitgawe op advertensies data is beskikbaar vir die afgelope tien maande (in R’000). / A marketer investigates the relationship between the amount spent on advertising and the sales of a specific product. Sales figures and advertising expenses for the past ten months (in R’000) are available.

 

Maand

Month

Verkope

Sales

(Y)

Advertensie

Advertising

(X)

Maand

Month

Verkope

Sales

(Y)

Advertensie

Advertising

(X)

1

85

33

6

103

50

2

123

60

7

115

50

3

122

60

8

93

35

4

99

43

9

112

53

5

95

40

10

111

56

 

Bereken die bepaaldheidskoëffisiënt. / Determine the coefficient of determination.

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0%
100%
0%
0%
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ʼn Bemarker ondersoek die verwantskap tussen die bedrag spandeer op advertensies en die verkope van ʼn spesifieke produk. Verkope en die uitgawe op advertensies data is beskikbaar vir die afgelope tien maande (in R’000). / A marketer investigates the relationship between the amount spent on advertising and the sales of a specific product. Sales figures and advertising expenses for the past ten months (in R’000) are available.

 

Maand

Month

Verkope

Sales

(Y)

Advertensie

Advertising

(X)

Maand

Month

Verkope

Sales

(Y)

Advertensie

Advertising

(X)

1

85

33

6

103

50

2

123

60

7

115

50

3

122

60

8

93

35

4

99

43

9

112

53

5

95

40

10

111

56

 

Bereken die kovariansie. / Calculate the covariance.

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100%
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0%
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ʼn Bemarker ondersoek die verwantskap tussen die bedrag spandeer op advertensies en die verkope van ʼn spesifieke produk. Verkope en die uitgawe op advertensies data is beskikbaar vir die afgelope tien maande (in R’000). / A marketer investigates the relationship between the amount spent on advertising and the sales of a specific product. Sales figures and advertising expenses for the past ten months (in R’000) are available.

 

Maand

Month

Verkope

Sales

(Y)

Advertensie

Advertising

(X)

Maand

Month

Verkope

Sales

(Y)

Advertensie

Advertising

(X)

1

85

33

6

103

50

2

123

60

7

115

50

3

122

60

8

93

35

4

99

43

9

112

53

5

95

40

10

111

56

 

 

  1. Bepaal die kleinste kwadrate regressielyn vir hierdie datastel. / Determine the least squares regression line for this data.
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