i. The data below shows the maximum temperature (°C) and the number of bowls of soup sold at God's Grace Canteen on eleven randomly selected days last year. Day 3 4 5 6 7 8 9 10 11 1 Temp. (°C) | 32 36 22 29 25 18 11 16 8 5 Bowls Sold 2 2 10 10 20 35 45 50 50 57 63 On graph paper, draw a scatter plot of temperature against bowls sold to represent the data using a scale of 1 cm to represent 5 bowls and 2cm to represent 5°C. Write down the type of relationship between the variables. iii. Calculate the mean number of bowls of soup, x, sold.

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i. The data below shows the maximum temperature (°C) and the number of
bowls of soup sold at God's Grace Canteen on eleven randomly selected days
last year.
Day
1
2
4
7
8.
9.
10
11
Temp. (°C) | 32
36
22
29
25
18
11
16
8
5
2
Bowls Sold
2
2
10
10
20
35 45
50
50
57
63
i.
On graph paper, draw a scatter plot of temperature against bowls
sold to represent the data using a scale of 1 cm to represent 5 bowls
and 2cm to represent 5°C.
i.
Write down the type of relationship between the variables.
ii.
Calculate the
ean number of bowls of soup, x , sold.
iv.
Find the mean maximum temperature, y of soup recorded.
V.
Plot and label the point M ( x, y ) on your graph.
vi.
The line of best fit for the data passes through the point M and the y-
intercept (0, 33.2). Draw this line on your graph.
vii. Find the equation of the line of best fit.
viii. On another day of the year, the temperature was 20°C. Using the
equation of the line of best fit, estimate the number of bowls of soup
sold on that day.
ix. The shop owner says "We sell more bowls of soup the higher the
temperature". Does the scatter graph support this statement? Give a
reason for your answer.
Transcribed Image Text:i. The data below shows the maximum temperature (°C) and the number of bowls of soup sold at God's Grace Canteen on eleven randomly selected days last year. Day 1 2 4 7 8. 9. 10 11 Temp. (°C) | 32 36 22 29 25 18 11 16 8 5 2 Bowls Sold 2 2 10 10 20 35 45 50 50 57 63 i. On graph paper, draw a scatter plot of temperature against bowls sold to represent the data using a scale of 1 cm to represent 5 bowls and 2cm to represent 5°C. i. Write down the type of relationship between the variables. ii. Calculate the ean number of bowls of soup, x , sold. iv. Find the mean maximum temperature, y of soup recorded. V. Plot and label the point M ( x, y ) on your graph. vi. The line of best fit for the data passes through the point M and the y- intercept (0, 33.2). Draw this line on your graph. vii. Find the equation of the line of best fit. viii. On another day of the year, the temperature was 20°C. Using the equation of the line of best fit, estimate the number of bowls of soup sold on that day. ix. The shop owner says "We sell more bowls of soup the higher the temperature". Does the scatter graph support this statement? Give a reason for your answer.
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