Managers of an outdoor coffee stand in Coast City are examining the relationship between (hot) coffee sales and daily temperature, hoping to be able to predict a day's total coffee sales from the maximum temperature that day. The bivar data values for the coffee sales (denoted by y, in dollars) and the maximum temperature (denoted by x, in degrees Fahrenheit) for each of sixteen randomly selected days during the past year are given below. These data are plotted in scatter plot in Figure 1. Also given is the product of the temperature and the coffee sales for each of the sixteen days. (These products, written in the column labelled "xy", may aid in calculations.) Temperature, x Coffee sales, y (in dollars) 1969.0 146,099.8 1930.9 115,081.64 1963.7 139,815.44 2252.1 114,631.89 1744.4 117,223.68 1565.8 127,142.96 1970.5 75,273.1 2019.0 94,489.2 2116.3 99,889.36 1627.9 89,534.5 2247.6 89,229.72 1770.8 82,342.2 1625.8 118,520.82 1824.2 115,654.28 1544.2 1800.0 (in degrees Fahrenheit) 74.2 59.6 71.2 50.9 67.2 81.2 38.2 46.8 47.2 55.0 39.7 46.5 72.9 63.4 76.0 53.0 Send data to calc... ✓ xy 117,359.2 95,400 Send data to Excel X S 2400+ 2200- ↑y 2000- 1800- Coffee sales (in dollars) 1600 1400- 1200- Figure 1 What is the slope of the least-squares regression line for these data? Carry your intermediate computations to at least decimal places and round your answer to at least two decimal places. (If necessary, consult a list of formulas.) 40 50 60 70 80 90 Temperature (in degrees Fahrenheit)
Managers of an outdoor coffee stand in Coast City are examining the relationship between (hot) coffee sales and daily temperature, hoping to be able to predict a day's total coffee sales from the maximum temperature that day. The bivar data values for the coffee sales (denoted by y, in dollars) and the maximum temperature (denoted by x, in degrees Fahrenheit) for each of sixteen randomly selected days during the past year are given below. These data are plotted in scatter plot in Figure 1. Also given is the product of the temperature and the coffee sales for each of the sixteen days. (These products, written in the column labelled "xy", may aid in calculations.) Temperature, x Coffee sales, y (in dollars) 1969.0 146,099.8 1930.9 115,081.64 1963.7 139,815.44 2252.1 114,631.89 1744.4 117,223.68 1565.8 127,142.96 1970.5 75,273.1 2019.0 94,489.2 2116.3 99,889.36 1627.9 89,534.5 2247.6 89,229.72 1770.8 82,342.2 1625.8 118,520.82 1824.2 115,654.28 1544.2 1800.0 (in degrees Fahrenheit) 74.2 59.6 71.2 50.9 67.2 81.2 38.2 46.8 47.2 55.0 39.7 46.5 72.9 63.4 76.0 53.0 Send data to calc... ✓ xy 117,359.2 95,400 Send data to Excel X S 2400+ 2200- ↑y 2000- 1800- Coffee sales (in dollars) 1600 1400- 1200- Figure 1 What is the slope of the least-squares regression line for these data? Carry your intermediate computations to at least decimal places and round your answer to at least two decimal places. (If necessary, consult a list of formulas.) 40 50 60 70 80 90 Temperature (in degrees Fahrenheit)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
Related questions
Question
Transcribed Image Text:Managers of an outdoor coffee stand in Coast City are examining the relationship between (hot) coffee sales and daily
temperature, hoping to be able to predict a day's total coffee sales from the maximum temperature that day. The bivariate
data values for the coffee sales (denoted by y, in dollars) and the maximum temperature (denoted by x, in degrees
Fahrenheit) for each of sixteen randomly selected days during the past year are given below. These data are plotted in the
scatter plot in Figure 1. Also given is the product of the temperature and the coffee sales for each of the sixteen days.
(These products, written in the column labelled "xy", may aid in calculations.)
Temperature,
x
Coffee
sales, y
(in
dollars)
1969.0
146,099.8
1930.9
115,081.64
1963.7 139,815.44
2252.1 114,631.89
1744.4 117,223.68
1565.8 127,142.96
1970.5
75,273.1
2019.0
94,489.2
2116.3
99,889.36
1627.9 89,534.5
2247.6
89,229.72
1770.8
82,342.2
1625.8
1824.2
1544.2
1800.0
(in degrees
Fahrenheit)
74.2
59.6
71.2
50.9
67.2
81.2
38.2
46.8
47.2
55.0
39.7
46.5
72.9
63.4
76.0
53.0
Send data to calc... v
xy
118,520.82
115,654.28
117,359.2
95,400
Send data to Excel
X
Coffee sales
(in dollars)
S
↑y
2400+
2200+
2000
1800.
1600-
1400+
1200-
Figure 1
What is the slope of the least-squares regression line for these data? Carry your intermediate computations to at least four
decimal places and round your answer to at least two decimal places. (If necessary, consult a list of formulas.)
40 50 60 70 80 90
Temperature
(in degrees Fahrenheit)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 4 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning