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. Temperature, x (in degrees Fahrenheit) 72.1 43.5 64.6 80.8 39.6 46.6 76.9 37.0 57.1 52.6 75.4 45.7 55.2 75.8 51. 68.2 Send data to calculator Coffee sales, y (in dollars) 1919.8 1781.3 1789.2 1540.8 2228.3 1945.5 1543.8 2009.7 1917.9 1791.1 1618.5 2140.4 1598.2 2031.2 2218.7 1727.5 Send data to Excel Coffee sales (in dollars) 2400 2200+ 2000. Figure 1 1800+ 1600+ 1400+ 1200 Temperature (in degrees Fahrenheit) The value of the sample correlation coefficient for these data is approximately -0.606. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult a list of formulas.) (a) 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. 0 (b) What is the value of the y-intercept of the least-squares regression line for these data? Round your answer to at least two decimal places.
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. Temperature, x (in degrees Fahrenheit) 72.1 43.5 64.6 80.8 39.6 46.6 76.9 37.0 57.1 52.6 75.4 45.7 55.2 75.8 51. 68.2 Send data to calculator Coffee sales, y (in dollars) 1919.8 1781.3 1789.2 1540.8 2228.3 1945.5 1543.8 2009.7 1917.9 1791.1 1618.5 2140.4 1598.2 2031.2 2218.7 1727.5 Send data to Excel Coffee sales (in dollars) 2400 2200+ 2000. Figure 1 1800+ 1600+ 1400+ 1200 Temperature (in degrees Fahrenheit) The value of the sample correlation coefficient for these data is approximately -0.606. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult a list of formulas.) (a) 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. 0 (b) What is the value of the y-intercept of the least-squares regression line for these data? Round your answer to at least two decimal places.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.
Temperature, x
(in degrees Fahrenheit)
72.1
43.5
64.6
80.8
39.6
46.6
76.9
37.0
57.1
52.6
75.4
45.7
55.2
75.8
51.1
68.2
Send data to calculator
Coffee sales, y
(in dollars)
1919.8
1781.3
1789.2
1540.8
2228.3
1945.5
1543.8
2009.7
1917.9
1791.1
1618.5
2140.4
1598.2
2031.2
2218.7
1727.5
Send data to Excel
2400+
2200+
d
2000+ X
1800-
X
1600+
Coffee sales
(in dollars)
Figure 1
1400-
1200-
40
50
60
(a) 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.
70
Temperature
(in degrees Fahrenheit)
80
(b) What is the value of the y-intercept of the least-squares regression line for these data?
Round your answer to at least two decimal places.
0
The value of the sample correlation coefficient for these data is approximately -0.606.
Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below.
(If necessary, consult a list of formulas.)
90
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