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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.
\nTable 2: Temperature and ice-cream sold
\n\n Temperature (oF) \n | \n\n 93 \n | \n\n 86 \n | \n\n 77 \n | \n\n 89 \n | \n\n 98 \n | \n\n 102 \n | \n\n 87 \n | \n\n 79 \n | \n
\n Sales of Ice-cream (in kg) \n | \n\n 95 \n | \n\n 79 \n | \n\n 56 \n | \n\n 90 \n | \n\n 105 \n | \n\n 126 \n | \n\n 72 \n | \n\n 53 \n | \n
Calculate Sxx to 3 decimal places.
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", "minValue": "1464", "maxValue": "1465", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "3", "showCorrectAnswer": false, "showFeedbackIcon": false, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "Calculate product moment correlation coefficient r to 3 decimal places.
", "minValue": "0.975", "maxValue": "0.985", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": false, "showFeedbackIcon": false, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "Identify the equation of regression line of ice-cream sales on temperature
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\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
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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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\nTable: Sales of history books with corresponding price
\n\n x \n | \n\n Price (£) \n | \n\n 1.99 \n | \n\n 2.50 \n | \n\n 3.25 \n | \n\n 0.99 \n | \n\n 6.99 \n | \n\n 5.00 \n | \n\n 3.50 \n | \n\n 1.98 \n | \n
\n y \n | \n\n Sales (in thousands) \n | \n\n 25 \n | \n\n 13 \n | \n\n 28 \n | \n\n 42 \n | \n\n 8 \n | \n\n 14 \n | \n\n 21 \n | \n\n 34 \n | \n
Give your answer to 2 decimal places when necessary.
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