Find the equation of the line of best fit. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 24PFA
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  1. Find the equation of the line of best fit.
  2. 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.

 

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
3
4
5
6
7 8
9
10
11
Temp. (CC)
32
36 22
29 25
18
11 16
5
2
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.
ii.
Write down the type of relationship between the variables.
iii. Calculate the mean number of bowls of soup, x, sold.
Find the mean maximum temperature, y of soup recorded.
1v.
Plot and label the point M (x, ỹ ) on your graph.
V.
V1.
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.
1X.
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 3 4 5 6 7 8 9 10 11 Temp. (CC) 32 36 22 29 25 18 11 16 5 2 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. ii. Write down the type of relationship between the variables. iii. Calculate the mean number of bowls of soup, x, sold. Find the mean maximum temperature, y of soup recorded. 1v. Plot and label the point M (x, ỹ ) on your graph. V. V1. 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. 1X. 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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