The following table shows the hot dogs bought from a street vendor over the course of eight days ("Demand"). Also shown is the temperature for each day in degrees Celsius. Complete parts a and b below.
Temperature (°C) |
18 |
11 |
22 |
16 |
7 |
10 |
16 |
20 |
|
---|---|---|---|---|---|---|---|---|---|
Demand |
48 |
29 |
36 |
40 |
17 |
22 |
43 |
31 |
a. Calculate the slope and y-intercept for the linear regression equation for these data.
y with caret = _____+(____) x
X | Y | X⋅Y | X⋅X |
18 | 48 | 864 | 324 |
11 | 29 | 319 | 121 |
22 | 36 | 792 | 484 |
16 | 40 | 640 | 256 |
7 | 17 | 119 | 49 |
10 | 22 | 220 | 100 |
16 | 43 | 688 | 256 |
20 | 31 | 620 | 400 |
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