Answer:
Residual = -2
The negative residual value indicates that the data point lies below the regression line.
Step-by-step explanation:
We are given a linear regression model that relates daily high temperature, in degrees Fahrenheit and number of lemonade cups sold.

Where y is the number of cups sold and x is the daily temperature in Fahrenheit.
Residual value:
A residual value basically shows the position of a data point with respect to the regression line.
A residual value of 0 is desired which means that the regression line best fits the data.
The Residual value is calculated by
Residual = Observed value - Predicted value
The predicted value of number of lemonade cups is obtained as

So the predicted value of number of lemonade cups is 23 and the observed value is 21 so the residual value is
Residual = Observed value - Predicted value
Residual = 21 - 23
Residual = -2
The negative residual value indicates that the data point lies below the regression line.
Hey there,
To find the value of x we can take the two, CD or DE and set them equal to CE.
First step is set the lines equal to each other:
Now we combine like terms:
Then we subtract 7x from both sides:
Add 6 to both sides:
Lastly we divide both sides by 2:
So the value of x would have to be 5.
Hope I helped,
Amna
Answer:
1 2/9 minutes
Step-by-step explanation:
55 mph
55 / 60 = 11/12
11/12 of a mile = 1 minute
45 mph
45 / 60 = 3/4
3/4 of a mile = 1 minute
11/12 divided by 3/4
11/12 * 4/3
We can cross-cancel
11/3 * 1/3 = 11/9 = 1 2/9
It takes 1 2/9 minutes for the hummingbird to cross the lake
Hope this helps!
(Please let me know if I did something wrong!)