the eqaution of a line is:
y = mx + b
where,
y = y - coordinates
m = slope
x = x - coordinates
b = intercepts
so with the values given as:
m = 4
b = 12
so the equation of line with the given values is
y = 4x + 12
134 hamburgers were sold and 402 cheeseburgers.
please vote my answer brainliest. thanks!
Answer:
4. ± 3.012
Step-by-step explanation:
Hello!
Assuming that for both variables X₁ and X₂ n₁= n₂ = 16
You need to test at 1% if the variable is significant, this means, if the slope for X₁ is different from zero (β₁≠0) using the t-statistic and the critical value approach.
The hypotheses are:
H₀: β₁= 0
H₁: β₁≠ 0
α: 0.01
![t= \frac{b_1-\beta_1}{Sb_1} ~t_{n_1-3}](https://tex.z-dn.net/?f=t%3D%20%5Cfrac%7Bb_1-%5Cbeta_1%7D%7BSb_1%7D%20~t_%7Bn_1-3%7D)
The degrees of freedom "n₁-3" are determined by the number of parameters that you estimate for the multiple regression, in this case there are three "β₁" "β₂" and "δ²e"
The rejection region for this test is two-tailed, the critical values are:
±![t_{n-3;1-\alpha /2}= t_{13;0.995}= 3.012](https://tex.z-dn.net/?f=t_%7Bn-3%3B1-%5Calpha%20%2F2%7D%3D%20t_%7B13%3B0.995%7D%3D%203.012)
I hope this helps!
<h2><u>Circle Equations</u></h2>
<h3>Write the standard form of the equation of the circle with the given characteristics.</h3><h3>Center: (0, 0); Radius: 2</h3>
To determine the equation of a circle, use the standard form of a circle (x - h)² + (y - k)² = r² where,
- <u>(h, k)</u> is the center; and
- <u>r</u> is the radius
Substitute the values of the center and radius to the standard form.
<u>Given:</u>
<u>(0, 0)</u> - <u>center</u>
<u>2</u> - <u>radius</u>
- (x - h)² + (y - k)² = 2²
- (x - 0)² + (y - 0)² = 4
- x² + y² = 4
<u>Answer:</u>
- The equation of the circle is <u>x² + y² = 4</u>.
Wxndy~~