Question
In: Statistics and Probability
A scientist believes that the frequency of cricket chirping is a good predictor of the ambient...
A scientist believes that the frequency of cricket chirping is a good predictor of the ambient temperature. A random sample produced the following data where x is the number of cricket chirps in one minute and y is the ambient temperature in Fahrenheit.
x 128 227 188 150 210 185 137 171
y 70 93 84 76 89 83 72 80
(a) Find an equation of the least squares regression line. Round the slope and y-intercept value to two decimal places. Describe the method for obtaining results.
(b) Based on the equation from part (a), what is the predicted temperature when a cricket chirps 300 times in one minute? Show all work and justify your answer.
(c) Based on the equation from part (a), what is the predicted temperature when a cricket chirps 140 times in one minute? Show all work and justify your answer.
(d) Which predicted temperature that you calculated for (b) and (c) do you think is closer to the true temperature and why?
Solutions
orchestra answered 1 year agoRelated Solutions
A scientist believes that the frequency of cricket chirping is a good predictor of the ambient...
A scientist believes that the frequency of cricket chirping is a
good predictor of the ambient temperature. A random sample produced
the following data where x is the number of cricket chirps
in one minute and y is the ambient temperature in
Fahrenheit.
x
y
128
70
227
93
188
84
150
76
210
89
185
83
137
72
171
80
(a) Find an equation of the least squares regression line.
Round the slope and y-intercept value to two decimal...
20. A scientist believes that the frequency of cricket chirping is a good predictor of the...
20. A scientist believes that the frequency of cricket chirping
is a good predictor of the ambient temperature. A random sample
produced the following data where x is the number of cricket chirps
in one minute and y is the ambient temperature in Fahrenheit.
X
Y
128
70
227
93
188
84
150
76
210
89
185
83
137
72
171
80
(a) Find an equation of the least squares regression line. Round
the slope and y-intercept value to two...
A business analyst believes that December holiday sales in 2016 are a good predictor of December...
A business analyst believes that December holiday sales in 2016
are a good predictor of December holiday sales in 2017. A random
sample of 8 toys stores produced the following data where x is the
amount of December holiday sales in 2016 and y is the amount of
December sales in 2017, in dollars.
Show work method/steps, Computations, Calculations, Explain,
list any applicable source/web applets, etc...
x
y
10257
11689
6556
6438
7224
8662
9987
9454
11568
12004
8453
8021...
A STAT 200 instructor believes that the average quiz score is a good predictor of final...
A STAT 200 instructor believes that the average quiz score is a
good predictor of final exam score. A random sample of 10 students
produced the following data where x is the average quiz score and y
is the final exam score.
x- 80, 95, 50, 60, 100, 55, 85, 70, 75, 85
y - 70, 96, 50, 63, 96, 60, 83, 60, 77, 87
(a) Find an equation of the least squares regression line. Round
the slope and y-intercept...
Is the Wonderlic test a good predictor? why or why not?
Is the Wonderlic test a good predictor? why or why not?
A teacher believes that the third homework assignment is a key predictor in how well students...
A teacher believes
that the third homework assignment is a key predictor in how well
students will do on the test. Let x represent the third homework
score and y the test score. A random sample of last terms students
were selected and their grades are shown below. Assume scores are
normally distributed.
HW3
term
13.3
59.811
21.9
87.539
9.7
53.728
25
96.283
5.4
39.174
13.2
66.092
20.9
89.729
18.5
78.985
20
86.2
15.4
73.274
25
93.25
9.7
52.257
6.4...
A teacher believes that the third homework assignment is a key predictor in how well students...
A teacher believes that the third homework assignment is a key
predictor in how well students will do on the test. Let x represent
the third homework score and y the test score. A random sample of
last terms students were selected and their grades are shown below.
Assume scores are normally distributed.
HW3
Test
13.3
59.811
21.9
87.539
9.7
53.728
25
96.283
5.4
39.174
13.2
66.092
20.9
89.729
18.5
78.985
20
86.2
15.4
73.274
25
93.25
9.7
52.257
6.4...
A teacher believes that the third homework assignment is a key predictor in how well students...
A teacher believes that the third homework assignment is a key
predictor in how well students will do on the midterm. Let x
represent the third homework score and y the midterm exam score. A
random sample of last terms students were selected and their grades
are shown below. Assume scores are normally distributed.
HW3
Midterm
13.3
59.811
21.9
87.539
9.7
53.728
25
96.283
5.4
39.174
13.2
66.092
20.9
89.729
18.5
78.985
20
86.2
15.4
73.274
25
93.25
9.7
52.257...
A teacher believes that the third homework assignment is a key predictor in how well students...
A teacher believes that the third homework assignment is a key
predictor in how well students will do on the midterm. Let x
represent the third homework score and y the midterm exam score. A
random sample of last terms students were selected and their grades
are shown below. Assume scores are normally distributed.
HW3
Midterm
13.3
59.811
21.9
87.539
9.7
53.728
25
96.283
5.4
39.174
13.2
66.092
20.9
89.729
18.5
78.985
20
86.2
15.4
73.274
25
93.25
9.7
52.257...
3. (3 pt) A certain data scientist is testing his predictor (essentially a tool given historical...
3.
(3 pt) A certain data scientist is testing his predictor
(essentially a tool given historical
data and would make predictions using said data) that would make
predictions about
Philadelphia’s temperatures. The predictor produces a correct
temperature if the
prediction falls within three standard deviations from the
target value. Assume that the
expected value of each prediction equals the target value. What
is the accuracy of the
predictor if the distribution of measurements is uniform?
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