Question
In: Math
5. The table below shows actual temperatures and predicted temperatures for San Antonio from August 01...
| 5. The table below shows actual temperatures and predicted temperatures for San Antonio from August 01 through 15th. | ||||||||||
| https://www.accuweather.com/en/us/san-antonio-tx/78205/august-weather/351198 | ||||||||||
| Day | Temperature | |||||||||
| 1 | 100 | |||||||||
| 2 | 100 | |||||||||
| 3 | 99 | |||||||||
| 4 | 98 | |||||||||
| 5 | 101 | |||||||||
| 6 | 100 | |||||||||
| 7 | 101 | |||||||||
| 8 | 102 | |||||||||
| 9 | 103 | |||||||||
| 10 | 103 | |||||||||
| 11 | 104 | |||||||||
| 12 | 104 | |||||||||
| 13 | 104 | |||||||||
| 14 | 103 | |||||||||
| 15 | 100 | |||||||||
| a. Decide which variable should be the independent variable and which should be the dependent variable. | ||||||||||
| b. Draw a chart for the data. Make sure to show the equation and the r-squared on the chart. | ||||||||||
| c. Does it appear from inspection that there is a relationship between the variables? Why or why not? | ||||||||||
| d. Calculate the least-squares line. Put the equation in the form of: ŷ = a + bx | ||||||||||
| e. Find the correlation coefficient. Is it significant? | ||||||||||
| f. Does it appear that a line is the best way to fit the data? Why or why not? | ||||||||||
| g. Are there any outliers in the data? Which ones? | ||||||||||
| h. Use the least squares line to estimate what will be be the temperature for August 16, 17 and 18. | ||||||||||
| 16-Aug | 17-Aug | 18-Aug | ||||||||
| i. Do you believe the answers above are reasonable? Why or why not? | ||||||||||
| j. What is the slope of the least-squares (best-fit) line? Interpret the slope. | ||||||||||
Solutions
Expert Solution
a. Decide which variable should be the independent variable and which should be the dependent variable.
Temperature is consider the dependent variable and day is consider independent variable. Because ewe want to see the Temperature in those day
b. Draw a chart for the data. Make sure to show the equation and the r-squared on the chart.
d. Calculate the least-squares line. Put the equation in the form of: ŷ = a + b
h. Use the least squares line to estimate what will be be the temperature for August 16, 17 and 18.
milcah answered 1 year agoRelated Solutions
5. The table below shows actual temperatures and predicted temperatures for San Antonio from August 01...
5. The table below shows actual temperatures and
predicted temperatures for San Antonio from August 01 through
15th.
https://www.accuweather.com/en/us/san-antonio-tx/78205/august-weather/351198
Day
Temperature
1
100
2
100
3
99
4
98
5
101
6
100
7
101
8
102
9
103
10
103
11
104
12
104
13
104
14
103
15
100
a. Decide which variable should be the independent
variable and which should be the dependent variable.
b. Draw a chart for the data. Make sure to show the
equation...
(CH. 9-3) Below is a recording of predicted high temperatures (using a 5 day forecast)...
(CH.
9-3) Below is a recording of predicted high temperatures
(using a 5 day forecast) and actual recorded high temperatures. Use
a 0.01 significance level to test the claim that there is a
difference between the forecasted temps and the actual temps.
Date
7/1
7/2
7/3
7/4
7/5
7/6
7/7
7/8
7/9
7/10
Forecast
68
73
73
85
84
79
79
78
81
80
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79
82
80
80
81
77
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Predicted Y
13
10
5
8
4
7
15
12
21
23
8
3
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