For questions 8 - 15, use the following set of data to find the equation of the line of
best fit and assess the fit of the equation by plotting and analyzing residuals.
The data below show the mean swimming speed (m/s) of basking sharks of various
lengths (m)
Length (m) Speed (m/s) Predicted speed Residual
2.5
3
3.5
4.5
5
4.8
5.5
5.2
6
5.5
a Calculate the line of best fit Round a and b to the nearest hundredth.

Answer:

Y^= 1.767 + 0.6294X when rounded give s Y^= 1.77 +0.63X

b= 0.6294 rounded to 0.63

a= 1.77

The predicted lines are for each X and Y

3.340,3.96, 4.914, 5.228, and 5.543

Step-by-step explanation:

The data given is

Length (m)    Speed (m/s)              Predicted Line  

2.5                  3                                    3.340  

3.5                 4.5                                  3.96

5                   4.8                                  4.914

5.5                5.2                                 5.228

6                   5.5                                 5.543

The calculations are

                 Xsquare    XY   Y     X

                 6.25    7.5  3      2.5

                 12.25 15.75 4.5      3.5

                    25 24         4.8      5

                  30.25 28.6 5.2      5.5

                   36 33           5.5      6

Total       109.75 108.85   23         22.5

The estimated regression line of Y on X is

Y^ = a +bX

and two normal equations are

∑Y = na + b∑X

∑XY= a∑X + b∑X²

Now X`= ∑X/ n= 22.5/5=4.5

Y`= ∑Y/ n= 23/5= 4.6

b= n∑XY- (∑X)(∑Y) / n∑X²- (∑X²)

Putting the values

b= 5(108.85) - (23)(22.5)/ 5(109.75)- (22.5)²

b= 544.25-517.5/ 548.75-506.25

b= 26.75 /42.5

b= 0.6294

and

a= Y`- bX~= 4.6- 0.6294(4.5)= 4.6-2.823= 1.767

Hence the

desired estimated regression line of Y on X is

Y^= 1.767 + 0.6294X

Y^= 1.77 +0.63X

The estimated regression co efficient b= 0.6294 indicates that the values of Y increase by 0.6294 units for a unit increase in X.

Which steps are needed to solve this equation?
.
b minus 21 = 177
Subtract 21 from the left side and add 21 to the right side of the equation.
The answer is b = 198.
Check the solution by substituting 198 for b.
Add 21 to the left side and subtract 21 from the right side of the equation.
The answer is b = 156.
Check the solution by substituting 198 for b.
Subtract 21 from both sides of the equation.
The answer is b = 156.
Check the solution by substituting 156 for b.
Add 21 to both sides of the equation.
The answer is b = 198.
Check the solution by substituting 198 for b.

pls help!!!! ...!.!.!.!.!.!.!.!.!!.

Please help!!! Will give brainliest!

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(Section 9-7) *
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please help i’ll give brainliest!!! thanks

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01:41:08
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green pencil, not replacing
it, and then picking a blue
pencil? Write your answer
as a fraction in simplest
form.

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