Answer:
b = - 3.7
Step-by-step explanation:
here are the data values:
x y XY X²
14 46 644 196
15 49 735 225
16 37 592 256
17 42 714 289
18 37 666 324
19 31 589 361
20 25 500 400
21 23 483 441
22 20 440 484
23 15 345 529
24 12 288 576
now we are required to find the summation (total) of all values of X, Y, XY and X².
∑X = 209
∑Y = 337
∑XY = 5996
∑X² = 4081
The formular for finding b is given as:
b = n∑XY - (X)(Y) / n∑X² - (∑X)²
= 11(5996) - (209)(337) / 11(4081) - (209)²
= 65956 - 70433 / 44891 - 43681
= -4477/ 1210
= -3.7
The question asked us to find the <em>value of b</em> but we can go further to find the equation of the regression line:
a = ∑Y - b∑X / n
= 337 - (-3.7)(209)/ 11
=1110.3/11
= 100.94
the equation is:
Y = 100.94 - 3.7X
I hope you find my solution useful!
=
First, multiply 3.5 by 20 and 2 by 20 to get the real width and length of the room(That would be 70 in. long and 40 in. wide). Then, change that into feet (Which would be 5.8 ft. long and 3.3 ft. wide). Lastly multiply the length by the width. The answer would then be 19.14.
Answer:
The correct answer is B. Contain generalizations and contractions.
Step-by-step explanation:
A generalization occurs when a specific idea is applied to a general category, in simple terms it occurs if a person states something always occur because this person saw it once. In this case, generalization occurs as this person affirms all stars are too far away and thus it will take a long time to get to those stars, however not all stars are as far away as this person believes and this does not mean it will take a long time to get there as new technology can be created, thus, this statement is not true and need revision. On the other hand, contractions refers to the process of shortening words by putting them together, this can be seen in "couldn't" ( could + not) and "they're" (they + are), contradictions are not correct as they should not be used in formal language and be avoided, thus, contradictions also need to be revised.
Answer:
Domain: [-2, 0, 2, 4]
Range: [3]
Step-by-step explanation:
The domain of the function are all values of x that are plotted on the horizontal axis (x-axis), while the range are the corresponding y-values plotted on the vertical axis (y-axis).
Therefore,
Domain of the function = [-2, 0, 2, 4]
Range of the function = [3] (only 1 possible value of y can be seen as plotted on the gray]
