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Mean Temperature (C) Yield (tones/hectare) 4 1.6 8 2.4 10 2.0 9 2.6 11 2.1 6 2.2 1. A farmer wants to determine whether there

Mean Temperature (C) Yield (tones/hectare)
4 1.6
8 2.4
10 2.0
9 2.6
11 2.1
6 2.2

1. A farmer wants to determine whether there is a relationship between the mean temperature during the growing season and the size of his wheat crop. He assembles the following data for the last six crops.

1 A) Compute the correlation coefficient and the coefficient of determination.

  1. B) What can the farmer conclude about the relationship between the mean temperatures during the growing season and the wheat yield on his farm?

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Temperature (C) Number of Sales
20 14
21 16
25 11
17 17
22 16
30 10
30 10
23 14
27 11
21 15
17 15
22 16
28 13
28 15

2. An ice-cream vendor records the temperature each day and the number of sales. Use graphing software (Desmos) to make scatter plot to display these data.

2.A) State the equation of the line of best fit for the data. (1 mark)

2. B) Determine and state the correlation coefficient and the coefficient of determination. What do these two values imply about the strength of the relationship between the variables?

2. C) Predict the number of ice-cream sales when the daily temperature is 15C and when it is 37C.

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