Question
In: Statistics and Probability
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 is 0.1961cal.
What is the least squares regression equation for predicting the number of calories in a beef hot dog, based on sodium content?
Solutions
Expert Solution
The least square regression equation between dependent variable number of calories in a beef hot dog and independent variable sodium content of the hot dog is,
Where, 
is the
intercept and 
is the
slope
Given that predicted increase in calorie count when sodium content increases by 1mg is 0.1961cal. which is the slope of the regression equation
Now, the intercept value is obtained by putting the average values of Y and X in regression equation ,
The least square regression equation is,
orchestra answered 2 years agoRelated Solutions
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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...
How many calories are in a hot dog? Consumer Reports magazine presented the following data on...
How many calories are in a hot dog? Consumer Reports magazine
presented the following data on the number of calories in a hot dog
for each of 17 brands of meat hot dogs: 173 191 182 190 172 147 146
139 175 136 179 153 107 195 135 140 138
a) Make a stemplot of the distribution of calories in meat hot
dogs and briefly describe the shape of the distribution. b) Most
brands of meat hot dogs contain a...
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