Question
In: Statistics and Probability
The chart below shows the caloric content and the sodium content(in milligrams) for 10 beef hot...
The chart below shows the caloric content and the sodium content(in milligrams) for
10 beef hot dogs (Source: Consumer Reports).
Calories,x 150 170 120 120 90 180 170 140 90 110
Sodium, y 420 470 350 360 270 550 530 460 380 330
(a) Graph a scatter diagram of the table and nd the equation of the regression
equation and plot it on the same scatter diagram to see the regression line.
(b) What is the correlation coefficient(r) of the model?
(c) If x=210 milligrams, predict the sodium level.
Solutions
Expert Solution
1. Bring ddata in to excel sheet
2.Select both x and y variable and insert scatter plot chart. Select any data point in the excel and add trend line. n the format trend line option choose "Linear" and also select "Display an equation on chart"
Linear regression Equation: y = 2.4715x + 80.813
(b) What is the correlation coefficient(r) of the model?
r = 0.91 (Positive and strong linear relationship)
(c) If x=210 milligrams, predict the sodium level.
y = 2.4715x + 80.813
y = 2.4715*210 + 80.813
y = 600 (rounded as whole number)
The prediceted sodium leverl is 600
orchestra answered 1 year agoRelated Solutions
The chart below shows the caloric content and the sodium content(in milligrams) for 10 beef hot...
The chart below shows the caloric content and the sodium
content(in milligrams) for
10 beef hot dogs (Source: Consumer Reports).
Calories,x 150 170 120 120 90 180 170 140 90 110
Sodium, y 420 470 350 360 270 550 530 460 380 330
(a) Graph a scatter diagram of the table and nd the equation of
the regression
equation and plot it on the same scatter diagram to see the
regression line.
(b) What is the correlation coefficient(r) of the...
The caloric contents and the sodium contents (in milligrams) of 10 beef hot dogs is given...
The caloric contents and the sodium contents (in milligrams) of
10 beef hot dogs is given below. (Source: Consumer
Reports)
Calories
x
150
170
120
120
90
180
170
140
90
110
Sodium y
420
470
350
360
270
550
530
460
380
330
State the null and alternative
hypotheses in symbols and words
H0 =
Ha =
Calculate the t test
statistic. t = _______ Calculate the p-value. _________
Circle the correct
conclusion: Reject H0
or
...
The caloric contents and the sodium contents (in milligrams) of 10 beef hot dogs is given...
The caloric contents and the sodium contents (in milligrams) of
10 beef hot dogs is given below. (Source: Consumer
Reports)
Calories
x
150
170
120
120
90
180
170
140
90
110
Sodium y
420
470
350
360
270
550
530
460
380
330
State the null and alternative
hypotheses in symbols and words
H0 =
Ha =
Calculate the t test
statistic. t = _______ Calculate the p-value. _________
Circle the correct
conclusion: Reject H0
or
...
The caloric contents and the sodium contents (in milligrams) of 10 beef hot dogs is given...
The caloric contents and the sodium contents (in milligrams) of
10 beef hot dogs is given below. (Source: Consumer
Reports)
Calories
x
150
170
120
120
90
180
170
140
90
110
Sodium y
420
470
350
360
270
550
530
460
380
330
Find the equation of the regression line.
Y = 80.819 +2.4715x
Slope of the regression line you wrote in part A = 2.4715 Write
a sentence to interpret this value in the context of the
problem...
Listed below is the sodium content in milligrams (mg) for 5 of Wendy’s burgers. This data...
Listed below is the sodium content in milligrams (mg) for 5 of
Wendy’s burgers. This data was obtained from their web site.
Determine the confidence interval for the true standard deviation
of sodium content at the 95% level of confidence. Assume the data
are independent random samples and are normally distributed. The
answers are in milligrams.
1540 1250
1230 1400 1440
A researcher would like to predict the calories in a beef hot dog from the sodium...
A researcher would like to predict the calories in a beef hot
dog from the sodium content of the hot dog. She gathers a sample of
20 hot dogs, and calculates the following summary statistics
• The average sodium content is 401.15mg.
• The average calorie count is 156.85cal.
• The standard deviation in sodium content is 102.43mg.
• The standard deviation in calorie count is 22.64cal.
• The predicted increase in calorie count when sodium content
increases by 1mg...
The sodium content of twenty 300-gram boxes of organic cornflakes was determined. The data (in milligrams)...
The sodium content of twenty 300-gram boxes of organic
cornflakes was determined. The data (in milligrams) are as follows:
131.15, 130.69, 130.91, 129.54, 129.64, 128.77, 130.72, 128.33,
128.24, 129.65, 130.14, 129.29, 128.71, 129.00, 129.39, 130.42,
129.53, 130.12, 129.78, 130.92.
(a) Can you support a claim that mean sodium content of this
brand of cornflakes differs from 130 milligrams? Use 0.05. Find the
P-value.
(b) Compute the power of the test if the true mean sodium
content is 130.5
milligrams.
(c)...
A nutrition laboratory tests 40 “reduced sodium” hot dogs, finding that the mean sodium content is...
A nutrition laboratory tests 40 “reduced sodium” hot dogs,
finding that the mean sodium content is 310 mg with a standard
deviation of 36 mg. Find a 95% confidence interval for the mean
sodium content of this brand of hot dog. Be sure to check all
necessary assumptions and conditions, and interpret your interval
within the context of the problem.
Conduct a hypothesis test at the .025 level as to whether the
mean sodium content level is 300mg. Provide
H0,Ha,...
A nutrition laboratory tests 50 "reduced sodium" hot dogs, finding that the mean sodium content is...
A nutrition laboratory tests 50 "reduced sodium" hot dogs,
finding that the mean sodium content is 307 mg, with a standard
deviation of 37 mg.
a) Find a 95% confidence interval for the mean sodium content
of this brand of hot dog.
b) What assumptions have you made in this inference? Are the
appropriate conditions satisfied?
c) Explain clearly what your interval means.
A nutrition laboratory tests 60 "reduced sodium" hot dogs, finding that the mean sodium content is...
A nutrition laboratory tests 60 "reduced sodium" hot dogs,
finding that the mean sodium content is 305 mg, with a standard
deviation of 35 mg.
a) Find a 95% confidence interval for the mean sodium content
of this brand of hot dog
. b) What assumptions have you made in this inference? Are the
appropriate conditions satisfied?
c) Explain clearly what your interval means.
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