Answer:
Step-by-step explanation:
Hello!
Given the independent variable X and the dependent variable Y (see data in attachment)
The regression equation is
^Y= b₀ + bX
Where
b₀= estimation of the y-intercept
b= estimation of the slope
The formulas to manually calculate both estimations are:


n=7
∑X= 42
∑X²= 292
∑Y= 49
∑Y²= 403
∑XY= 249




^Y= 13.75 - 1.13X
Using the raw data you can calculate the coefficient of determination as:
![R^2= \frac{b^2[sumX^2-\frac{(sumX)^2}{n} ]}{[sumY^2-\frac{(sumY)^2}{n} ]}](https://tex.z-dn.net/?f=R%5E2%3D%20%5Cfrac%7Bb%5E2%5BsumX%5E2-%5Cfrac%7B%28sumX%29%5E2%7D%7Bn%7D%20%5D%7D%7B%5BsumY%5E2-%5Cfrac%7B%28sumY%29%5E2%7D%7Bn%7D%20%5D%7D)
![R^2= \frac{(-1.13)^2[292-\frac{(42)^2}{7} ]}{[403-\frac{(49)^2}{7} ]}= 0.84](https://tex.z-dn.net/?f=R%5E2%3D%20%5Cfrac%7B%28-1.13%29%5E2%5B292-%5Cfrac%7B%2842%29%5E2%7D%7B7%7D%20%5D%7D%7B%5B403-%5Cfrac%7B%2849%29%5E2%7D%7B7%7D%20%5D%7D%3D%200.84)
This means that 84% of the variability of the dependent variable Y is explained by the response variable X under the model ^Y= 13.75 - 1.13X
I hope this helps!
Answer:
Yes
Step-by-step explanation:
Given that in the June 2007 issue, Consumer Reports also examined the relative merits of top-loading and front-loading washing machines, testing samples of several different brands of each type.
The difference in mean values test gave a p value of 0.32
Confidence level = 95%
Alpha = 1-0.95 = 0.05
Compare p with alpha, here p >alpha
Hence we accept null hypothesis that there is no difference in the means.
Confidence interval method also will yield the same result. i.e. confidence interval for difference of means would definitely contain 0 at 95% conf level.
So answer is yes
The amount Howie will pay back at the end of one year is $26000.00
The given parameters are:
-- the principal amount
-- the interest rate
--- the duration
The amount to pay back in this duration is then calculated using:

So, we have:


Express percentage as decimal


Multiply

Hence, the amount to pay back is $26000.00
Read more about simple interest at:
brainly.com/question/1115815
Answer:
<h3><em>A</em><em>.</em><em> </em><em>7</em><em>f</em><em>t</em></h3>
Step-by-step explanation:
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<h3><em>a</em><em>n</em><em>s</em><em>w</em><em>e</em><em>r</em><em>e</em><em>d</em><em> </em><em>b</em><em>y</em><em>:</em><em> </em><em>s</em><em>u</em><em>g</em><em>a</em><em>x</em><em>c</em><em>h</em><em>i</em><em>m</em></h3>
The answer for this is 37000