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The following table gives information on the amount of ice-cream sold (by weight) in a city centre café and the temperature (in degrees Fahrenheit) in the city. The data was collected on 8 random days.

\n

Table 2: Temperature and ice-cream sold

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\n

Temperature (oF)

\n
\n

93

\n
\n

86

\n
\n

77

\n
\n

89

\n
\n

98

\n
\n

102

\n
\n

87

\n
\n

79

\n
\n

Sales of Ice-cream (in kg)

\n
\n

95

\n
\n

79

\n
\n

56

\n
\n

90

\n
\n

105

\n
\n

126

\n
\n

72

\n
\n

53

\n
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Calculate Sxx   to 3 decimal places.  

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Calculate Syy to 1 decimal place .

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Calculate Sxy to 1 decimal place.

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Calculate product moment correlation coefficient r to 3 decimal places.

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Identify the equation of regression line of ice-cream sales on temperature

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Ice-cream sales = 2.801 x temperature – 164.44

\n

", "

Ice-cream sales = 2.85 x temperature – 164.64

\n

 

", "

Ice-cream sales = 2.941 x temperature – 165.58

\n

 

", "

Ice-cream sales = 2.7801 x temperature – 166.44

\n

 

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Predict the ice-cream sales (in weight) when the temperature in the city reaches 102 o to 3 decimal places.

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A bookstore in Liverpool street decided to investigate how sales of history books vary with price. On a random week, they have collected the price (in £) and number of sales for eight history books currently on sale in their store.

\n

Table: Sales of history books with corresponding price

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\n

x

\n
\n

Price  (£)

\n
\n

1.99

\n
\n

2.50

\n
\n

3.25

\n
\n

0.99

\n
\n

6.99

\n
\n

5.00

\n
\n

3.50

\n
\n

1.98

\n
\n

y

\n
\n

Sales (in thousands)

\n
\n

25

\n
\n

13

\n
\n

28

\n
\n

42

\n
\n

8

\n
\n

14

\n
\n

21

\n
\n

34

\n
\n

 Give your answer to 2 decimal places when necessary.

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Calculate ∑x.

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Calculate ∑y.

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Calculate ∑x2.

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Calculate ∑y2.

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Calculate∑xy.

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Calculate the product moment correlation coefficient r.

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What does the value of the correlation coefficient calculated in part f) tell you about the relationship between the two variables?

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As the price decreases there is a tendency for sales to increase.

", "As the price increases there is a tendency for sales to increase.", "There is a very weak correlation between price and sales."], "matrix": ["1", 0, 0], "distractors": ["", "", ""]}, {"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Identify the regression line of history book sales on price.

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 Predict the sales for a history book priced at £1.50     

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