Question

5. The following table shows the Temperature and number of visitors to a beach: Temp | 82 | 84 | 86 | 86 | 87 | 88 | 89 | 92 | 94 | 94 | 96 Number of visitors | 80 | 225 | 300 | 362 | 95 | 450 | 525 | 450 | 500 | 600 | 580 a) Draw and label a scatter diagram to show the correlation between Temperature and Number of visitors (6 marks) b) Draw a best fit line (with intercept and slope) and use it to predict the number of visitors on a day with Temperature of 90 (2 marks) c) The Coefficient of Correlation (r value) is 0.8 and the Coefficient of Determination (r² value) is 0.64. What do these values show about the relationship between Temperature and number of visitors at the beach? (2 marks) d) Explain with at least 2 reasons, why the correlation is not perfect and suggest another variable which could also affect the number of visitors to the beach (2 marks)

          5. The following table shows the Temperature and number of visitors to a beach:

Temp | 82 | 84 | 86 | 86 | 87 | 88 | 89 | 92 | 94 | 94 | 96
Number of visitors | 80 | 225 | 300 | 362 | 95 | 450 | 525 | 450 | 500 | 600 | 580

a) Draw and label a scatter diagram to show the correlation between Temperature and Number of visitors (6 marks)

b) Draw a best fit line (with intercept and slope) and use it to predict the number of visitors on a day with Temperature of 90 (2 marks)

c) The Coefficient of Correlation (r value) is 0.8 and the Coefficient of Determination (r² value) is 0.64. What do these values show about the relationship between Temperature and number of visitors at the beach? (2 marks)

d) Explain with at least 2 reasons, why the correlation is not perfect and suggest another variable which could also affect the number of visitors to the beach (2 marks)

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5. The following table shows the Temperature and number of visitors to a beach:

Temp | 82 | 84 | 86 | 86 | 87 | 88 | 89 | 92 | 94 | 94 | 96
Number of visitors | 80 | 225 | 300 | 362 | 95 | 450 | 525 | 450 | 500 | 600 | 580

a) Draw and label a scatter diagram to show the correlation between Temperature and Number of visitors (6 marks)

b) Draw a best fit line (with intercept and slope) and use it to predict the number of visitors on a day with Temperature of 90 (2 marks)

c) The Coefficient of Correlation (r value) is 0.8 and the Coefficient of Determination (r² value) is 0.64. What do these values show about the relationship between Temperature and number of visitors at the beach? (2 marks)

d) Explain with at least 2 reasons, why the correlation is not perfect and suggest another variable which could also affect the number of visitors to the beach (2 marks)

Added by Purificaci-N P.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert David Nguyen

09/21/2022

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Each point on the graph corresponds to a pair of values from the table. For example, a temperature of 225 would be plotted against 300 visitors. Show more…

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The following table shows the Temperature and number of visitors to a beach: Temp 82 84 86 86 87 88 89 92 94 94 96 Number of visitors 80 225 300 362 95 450 525 450 500 600 580 a) Draw and label a scatter diagram to show the correlation between Temperature and Number of visitors b) Draw a best fit line (with intercept and slope) and use it to predict the number of visitors on a day with Temperature of 90 c) The Coefficient of Correlation (r value) is 0.8 and the Coefficient of Determination (r² value) is 0.64. What do these values show about the relationship between Temperature and number of visitors at the beach? d) Explain with at least 2 reasons, why the correlation is not perfect and suggest another variable which could also affect the number of visitors to the beach

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00:01 Hi, i'm david and i'm here to help you and send your question.

00:03 In the question here we're given the data for the temperature and the number of the visitors to the beach.

00:08 And now let me bring up the data and put it on the top here.

00:12 From here in the question i asked me to sketch the scatter plot from the data, so let me do it here.

00:28 And this will be the temperature and this will be the number of the visitors.

00:39 And now we have this one, the temperature, it will be around 80, 84, 86 so let me say this one will be around 80 will be somewhere here and then this will be the 82 84 86 88 90 92 90 90 22 and 98 and then for the and then for the number of the visitors we will see the maximum it can go up to the 600 so we can have one two three four five let me bring this down a little to have enough 600 here and i will move this one up and you want to have the 100 200 200 300 300 400 and this will extend further to get this one will be the 600 now the first point it will be the 82 and the 80 and 80 will be somewhere it could be somewhere here the first point and then 84 225 24 225 and 205 would be somewhere here and then 86 and the 300 will be here 86 and 362 362 will be above here and then 87 and the 95 will be back here and the 95 will be back here and the 95 will be closely to the 100 and then 88 and 450 will be here 89 525 89 525 95 92 and the 550 92 and 250 94 and 500 94 and 600 96 and the 580 and that will be the scatter plot in the question a and then in the next question b we need to draw the best fifth line so if we try to draw it it could be somehow we can try this line somehow that will be the best fitted line and then we will see this one we use it to predict the number of the visitor on the day with the temperature of the 90.

04:04 So if we go with the 90 temperature and then we draw up here and we can see it will be around 400...

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