Managers of an outdoor coffee stand in Coast City are examing 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 fifteen randomly selected days during the past year are given below. These data are plotted in the scatter plot in Figure 1. Also given are the products of the temperature values and coffee sales values for each of the fifteen days. (These products, written in the column labelled "xy," may aid in calculations.) Temperature, x Coffee sales, y(in degreesFahrenheit)ху(in dollars)56.11597.889636.5838.61989.476790.842400+44.62019.290056.322200+47.52111.7100305.7544.81813.781253.762000+39.72266.189964.171800+71.61968.7140958.9275.81503.0113927.41600+83.01524.9126566.71400-51.02218.5113143.558.61961.5114943.9120075.61684.1127317.96406070809076.91970.1151500.6963.51810.6114973.1Figure 168.01733.3117864.4Send data to calculatorSend data to ExcelAnswer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below.What is the value of the slope of the least-squaresregression line for these data? Round your answer to at|least two decimal places.

Given: n = 15 Formula Used: Slope = n∑XY-∑X∑Yn∑X2-∑X2

Answered: Temperature, x (in degrees Fahrenheit)…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.2: Exponential Functions

Problem 51E

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Managers of an outdoor coffee stand in Coast City are examing 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 fifteen randomly selected days during the past year are given below. These data are plotted in the scatter plot in Figure 1. Also given are the products of the temperature values and coffee sales values for each of the fifteen days. (These products, written in the column labelled "xy," may aid in calculations.)

Temperature, x Coffee sales, y
(in degrees
Fahrenheit)
ху
(in dollars)
56.1
1597.8
89636.58
38.6
1989.4
76790.84
2400+
44.6
2019.2
90056.32
2200+
47.5
2111.7
100305.75
44.8
1813.7
81253.76
2000+
39.7
2266.1
89964.17
1800+
71.6
1968.7
140958.92
75.8
1503.0
113927.4
1600+
83.0
1524.9
126566.7
1400-
51.0
2218.5
113143.5
58.6
1961.5
114943.9
1200
75.6
1684.1
127317.96
40
60
70
80
90
76.9
1970.1
151500.69
63.5
1810.6
114973.1
Figure 1
68.0
1733.3
117864.4
Send data to calculator
Send data to Excel
Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below.
What is the value of the slope of the least-squares
regression line for these data? Round your answer to at|
least two decimal places.

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