Answer:
Step-by-step explanation:
You need to assume that the slope between the dependent Varian and the numerical independent variable is zero.
In regression analysis, to find the effect of one independent variable on the dependent variable, there has to be no interference from the other independent variables whether they be categorical (dummy) or numerical independent variables.
A dummy variable is one which takes on the value of 0 or 1, to represent the absence or presence (respectively) of a given category which is expected to influence the dependent variable.
When a dummy independent variable is included in a regression model, to know the effect of that dummy or category (e.g. day =1, night =0) on the dependent variable, the influence of the numerical independent variable has to be removed temporarily.
In a regression equation,
Y=a+bX+cK
Y is the dependent variable
a is the intercept on the vertical axis on the graph
b is the slope between the dependent variable Y and the independent numerical variable X
c is the slope between the dependent variable Y and the dummy variable K
The distance travelled by boat after 1 hour will be 10km.
<h3>What is speed?</h3>
Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.
The distance will be calculated as:-
a²+b²=c²
9² + 3 ²= c ²
81+9 = c²
100 = c²
c = 10 km / hour
The distance travelled after one hour will be calculated as:-
Distance = Speed x Time
Distance = 10 x 1 = 10 Km
Therefore the distance travelled by boat after 1 hour will be 10km.
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From the given sample data in the table on the backpack weight, we have;
(a) The means of the samples are;
- First sample = 6.375
- Second sample = 6.375
- Third sample = 6.625
(b) The range is 0.25
(c) The true statements are;
- A single sample mean will tend to be a worse estimate than the mean of the sample means
- The farther the range of the sample means is from zero, the less confident they can be their estimate.
<h3>How can the mean of the sample means be found?</h3>
(a) The sample means of each of each of the three samples are found as follows;
Where;
x = The value of a data point
n = Sample size
The mean of the first sample, S1, data is therefore;
3+7+8+3+7+9+6+8 = 51
Which gives
- Mean of the first sample = 6.375
Similarly, we have;
8 +6+4+7+9+4+6+7 = 51
Which gives;
Mean of the second sample = 6.375
9+4+5+8+7+5+9+6 = 53
Which gives;
- Mean of the third sample = 6.625
(b) The range of the means of the sample means is found as follows;
Range = Largest value - Smallest value
Which gives;
- Range of the sample means = 6.625 - 6.375 = 0.25
(c) The population mean is given by the mean of the sample means. That is, a very good estimate of the sample mean is given by the mean of the sample means.
The true statements are therefore;
- A single sample mean will tend to be a worse estimate than the mean of the sample means
- The farther the range of the sample means is from zero, the less confident they can be their estimate.
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Answer:
b
Step-by-step explanation: