You are the owner of Fast Break, a popular local place that sells drinks, snacks, and sandwiches. For inventory management purposes, you are examining how the weather affects the amount of hot chocolate sold in a day. You are going to gather a random sample of 7 days showing that day's high temperature (denoted by x, in °C) and the amount of hot chocolate sold that day (denoted by y, in liters). You will also note the product x.y of the temperature and amount of hot chocolate sold for each day. (These products are written in the row labeled "xy"). (a) Click on "Take Sample" to see the results for your random sample. High temperature, x (in °C) Take Sample Amount of hot chocolate sold, y (in liters) 21: xy 11 14 154 27 9 243 23 7 161 3 18 54 16 11 66 32 4 18 12 128 216 Send data to calculator Based on the data from your sample, enter the indicated values in the column on the left below. Round decimal values to three decimal places. When you are done, select "Compute". (In the table below, is the sample size and the symbol Σxy means the sum of the values xy.)
You are the owner of Fast Break, a popular local place that sells drinks, snacks, and sandwiches. For inventory management purposes, you are examining how the weather affects the amount of hot chocolate sold in a day. You are going to gather a random sample of 7 days showing that day's high temperature (denoted by x, in °C) and the amount of hot chocolate sold that day (denoted by y, in liters). You will also note the product x.y of the temperature and amount of hot chocolate sold for each day. (These products are written in the row labeled "xy"). (a) Click on "Take Sample" to see the results for your random sample. High temperature, x (in °C) Take Sample Amount of hot chocolate sold, y (in liters) 21: xy 11 14 154 27 9 243 23 7 161 3 18 54 16 11 66 32 4 18 12 128 216 Send data to calculator Based on the data from your sample, enter the indicated values in the column on the left below. Round decimal values to three decimal places. When you are done, select "Compute". (In the table below, is the sample size and the symbol Σxy means the sum of the values xy.)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 7E
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Transcribed Image Text:You are the owner of Fast Break, a popular local place that sells drinks, snacks, and sandwiches. For inventory management purposes, you are examining how
the weather affects the amount of hot chocolate sold in a day. You are going to gather a random sample of 7 days showing that day's high temperature (denoted
by x, in °C) and the amount of hot chocolate sold that day (denoted by y, in liters). You will also note the product x.y of the temperature and amount of hot
chocolate sold for each day. (These products are written in the row labeled "xy").
(a) Click on "Take Sample" to see the results for your random sample.
Take Sample
n: 0
x: 0
y: 0
Σχν: Π
High temperature, x
(in °C)
Compute
Amount of hot
chocolate sold, y
(in liters)
xy
11
14
154
27
9
243
23
7
Slope (b₁):
161
Sample correlation coefficient (7):
3
y-intercept (bo):
18
54
6
11
66
Send data to calculator
Based on the data from your sample, enter the indicated values in the column on the left below. Round decimal values to three decimal places. When
you are done, select "Compute". (In the table below, is the sample size and the symbol Σ xy means the sum of the values xy.)
32
4
18
12
128 216
S
Transcribed Image Text:(b) Write the equation of the least-squares regression line for your data. Then on the scatter plot for your data, graph this regression equation by plotting
two points and then drawing the line through them. Round each coordinate to three decimal places.
Regression equation: y = 0
Amount of hot chocolate sold
(in liters)
24-
22-
20+
18.
12-
10+
8
6+
4+
2.
15 18 21 24 27 30 33
High temperature
(in °C)
X
(c) Use your regression equation to predict the amount of hot chocolate sold on a day with a high temperature of 14 °C. Round your answer to the nearest
whole number.
Predicted amount of hot chocolate sold: liters
X
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