Question

Using two plots from the data estimate the equation of the line of best fit. Calculate the residuals for the set of data.

(1,5),(1,8),(3,18), (3,20),(4,20),(7,30),(8,37),(9,45),(10,45),(10,44)

Answer #1

A data set has the following equation for the regression line
(that is, line of best fit): y = 22x - 10. Determine the residual
of the data point (5.2, 100.5).

Find the equation based on your best fit
line. HINT: To find the estimated equation, pick two
points on the line and plug into
y-y1=mx-x1.
If you need assistance with this, I’ve included the links to two
Khan Academy videos into the folder. Show your work.
Write your equation in the form, y=a+bx.
X
y
992 , 155
2316 ,
263
532 , 163
493 , 246
2560 , 311
1823 , 336
745 , 143
4589 , 954
1354...

considering a best fit line equation of y=1.0029x - 0.264, where
concentration is in units of micrograms/milliliters, what
concentration was present for a solution with an absorbance of
38?

The equation of the best fit line relating x, the number of
absences, to y, the final grade is y with hat on top equals 0.449 x
minus 30.27. Student A missed 7 classes while student B missed 25
classes. Assuming that the scope of the model is between missing 0
classes to 30 classes, the predicted Final Grades for these grades
are as follows: Student A: 76.854; Student B: 27.264 Student A:
89.33; Student B: 50.235 Student A: 76.854;...

Line of best fit:
Predicted income = 5189*GPA +44977.5
Calculate the residual for a student that graduates with a 3.0 GPA
and has an income of 65000

Assessing the goodness of fit of a regression line involves
considering several things, and no single characteristic of data is
sufficient for a good assessment. Consider the characteristics
below. How does each contribute to an assessment of fit? That is,
for each piece of information, what characteristic
would indicate a "good" best-fit line?
The shape of the scatter plot
The correlation coefficient
The standard deviation of the residuals
The coefficient of determination

Data set represents the score of the football game at
the end of each quarter. Create a scatter plot and estimate the
line of best fit. Then, choose two points on the line of best fit
and calculate its slope.
Quarter Score
1
3
2
12
3
26
4
33

An investigator plots 1/v as a function of 1/(concentration of
substrate) for data collected with and without an inhibitor. The
best-fit line of the data collected in the absence of the inhibitor
had a slope of 0.29 (arbitrary units of time) and a y-intercept of
0.02 (arbitrary units of time per concentration). The best-fit line
of the data collected in the presence of the inhibitor had a slope
that was 3.1-times as steep (arbitrary units of time) and a
y-intercept...

Q11.Fit a power equation model (Ŷ =
a2*xb2) to the following data set. Then
calculate correlation coefficient.
x
2.5
3.5
5
6
7.5
10
12.5
15
17.5
20
y
7
5.5
3.9
3.6
3.1
2.8
2.6
2.4
2.3
2.3

2. You perform an analysis of variance to determine
whether the slope of your best fit line is different from zero, and
calculate an F-ratio of 12.6–you measured 24 randomly sampled
individuals from your population of interest.
(a) What are the degrees of freedom for the
regression?
(b) What are the degrees of freedom for the
residuals?
(c) If the critical value is 4.3, is your P-value
greater or less than alpha?
(d) Do you reject or fail to reject...

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