The null hypothesis to test the significance of the slope on a regression equation is that the slope is equal to zero.
Given that we have to test the significance of slope in a regression equation.
Equation is relationship between two or more variables that are expressed in equal to form.Equation of two variables look like ax+by=c. It may be a linear equation, quadratic equation, cubic equation or many more depending on the powers of the variable present in that equation.
Slope is basically a number which indicates the direction of the line.
Null hypothesis is a statement which is tested for its validity and it is nothing but opposite of the result we want.
The standard regression equation be y=mx+c and in this m is slope of the equation.
The line depends on the slope because if it is zero then the value of y becomes zero. So, the null hypothesiss is that the slope is equal to zero.
Hence the null hypothesis to test the significance of the slope on a regression equation is that the slope is equal to zero.
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Answer:
The farm planted 124,350 more cornstalks
Step-by-step explanation:
Here in this question, we want to know how much more corn stalks did a farm plant this year compared to last year.
Let’s picture it this way;
Possibly due to expansion purposes, the farm planted more cornstalks this year than last year. So to find the difference in the cornstalks planter between the two years, what needs to be done is simply to subtract the number of corn stalks planted last year from the number of corn stalks planted this year.
From the question, the number of cornstalks planted last year was 275,650 while the number of cornstalks planted this year was 400,000; So the difference between the two will be ;
400,000 - 275,650 = 124,350 cornstalks
- 3 1/2 can be rewritten as - 3 2/4
New equation will make it easier to combine like terms:
- 5 3/4 - 3 2/4
- 5 - 3 = - 8
3/4 + 2/4 = 5/4
You now have - 8 5/4. Simplify to get - 9 1/4.
Your answer is option C.
15 and a half (15.5) quarts
Get each in common units
Orange 2 gallons X 4 quart per gallon = 8 quarts
Pineapple 4 quarts no change
Cranberry 3 pints / 2 pints per quart = 1.5 quarts
Apple 8 cups / 4 cups per quart = 2 quarts
Add them all together 8+4+1.5+2=15.5
Answer:
16 and 4
Step-by-step explanation:
Let (x+y) =20 and (x-y)=12 then:
Isolate for x in each equation
x=20-y and x=12+y
Set the equations to equal each other since the value of x should be the same for both
20-y = 12+y
Rearrange so that y is on one side and the numbers are on the other
8 = 2y
y= 8/2
y= 4
Now substitute the y- value back into either of the original equations
x+y= 20
x+4 = 20
Rearrange and isolate x
x = 20-4
x = 16
So the two values are 16 and 4