10.2 practice edited 2
xlsx
keyboard_arrow_up
School
Pierce College *
*We aren’t endorsed by this school
Course
146
Subject
Statistics
Date
Jun 19, 2024
Type
xlsx
Pages
6
Uploaded by MinisterResolveKouprey25
Independent Individual:
Variable
a calorie
x
Calories
Sample:
calories in hot dogs
Population:
all calories
Dependant
Individual:
Variable
1 sodium
y
Sodium
Sample:
sodium in hot dog
Population:
all sodium
Statistic
Variable w/units:
r
correlation coeffiecient of hot dog
Parameter
Variable w/units:
p
correlation coeffiecient of hot dog
α = 0.05
5%
Step 3 Check for normality
Step 4 Find sample statistic, test statistic and pvalue, Draw a picture.
Sample Statistic= Test Statistic= SE = PV = A random sample of beef hotdogs was taken and the amount of sodium (in mg) and were measured. ("Data hotdogs," 2013) The data are in table.Test at the 5% level
correlation between amount of calories and amountof sodium
Step 2 Identify Null Hypothesis, Alternative Hypothesis, (words and algebraically) and Level of Significance
H
0
: H
a
:
dec
%
Z = -3
-2
-1
0
1
X = Step 5 Make a conclusion about null hypothesis Step 6 Interpret you alternative hypothesis
Calories
Sodium Insert Scatter plot Here
186
495
181
447
176
425
149
322
184
482
Units
190
587
calories
158
370
139
322
175
479
148
375
152
330
111
300
Units
141
386
mg
153
401
190
645
157
440
131
317
149
319
135
298
132
253
calories l for a 100
110
120
130
140
150
160
1
0
100
200
300
400
500
600
700
f(x) = 3.93888948775993 x − 218.16481615
R² = 0.772342699081743
Sodium and calories Sodium
Calories
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
3
2
FIND YOUR POINT ESTIMATOR
CHOOSE YOUR Critical VALUE
CV = CALCULATE SIGMA
CALCULATE MARGIN OF ERROR
SE = ME = CALCULATE CONFIDIENCE INTERVAL
Interval
STATISTICAL INTERPRETATION
REAL WORLD INTERPRETATION
A random sample of beef hotdogs was taken and the amount of sodium
and calories were measured. ("Data hotdogs," 2013) The data are in tab
Compute a 95% prediction interval for the amount of sodium a beef ho
if it is 170 calories. y= ̂
Point Estimator ± Margin of Error
170
180
190
200
55145
LB
UB
m (in mg)
ble. otdog has
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Related Documents
Related Questions
What percentage of the variation in can be explained by the corresponding variations in and taken together?
arrow_forward
calcium is essential to tree growth because it promotes the formation of wood maintains cell walls. in 1990, the concentration of calcium in precipitation in certain area was 0.11 milligrams per liter (mg/L). A random sample of 10 precipitation dates 2007 results in the following data table. complete parts (a) through (c) below
H0 mean= 0.11
Ha mean not =0.11
data table
0.074 0.079 0.073 0.272 0.127
0.189 0.117 0.223 0.305 0.115
b. construct a 98% confidence interval about the sample mean concentration of calcium precipitation
the lower bound
the upper bound
arrow_forward
Both arm circumference and BMI measurements have been used as screening tools for being underweight, overweight, or obese. We want to determine if there is a significant correlation between arm circumference (in centimeters or cm) and body mass index or BMI (in kg.m2) among 10 participants. The results of a correlation and regression analysis are indicated in the Excel output below. The mean arm circumference (the independent variable) was 35.2 cm, and the mean BMI (the dependent variable) was 30.7 kg.m2.
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.855646
R Square
0.732129
Adjusted R Square
0.698646
Standard Error
3.806088
Observations
10
ANOVA
df
SS
MS
F
Significance F
Regression
1
316.7456
316.7456
21.86518
0.001590054
Residual
8
115.8904
14.4863
Total
9
432.636…
arrow_forward
What percent of the variability in the response variable is explained by the explanatory variable? Is the relationship between the two variables significant or not? Show your work.
arrow_forward
Rental revenue
(in millions of dollars)
4.
Can movie rental revenue be predicted?
A movie studio wishes to determine the relationship between the revenue from rental of comedies on streaming services and the
revenue generated from the theatrical release of such movies. The studio has the following bivariate data from a sample of fifteen
comedies released over the past five years. These data give the revenue x from theatrical release (in millions of dollars) and the revenue
y from streaming service rentals (in millions of dollars) for each of the fifteen movies. Also shown are the scatter plot and the least-
squares regression line for the data. The equation for this line is y=3.30 +0.15x.
Theater revenue, X
Rental revenue, y
(in millions of dollars)
(in millions of dollars)
61.1
16.5
44.8
6.1
个y
18-
36.8
12.1
16
61.4
9.6
14-
13.3
9.7
12-
25.8
9.0
10-
ャ★
20.2
4.6
X.
8
26.3
7.7
7.3
2.6
48.5
15.9
27.7
11.7
20
30
70
28.3
2.8
Theater revenue
66.3
10.1
(in millions of dollars)
29.9
6.3
22
arrow_forward
Determine the critical r values and if the correlation is significant
arrow_forward
Interpret this statistic. Why was gamma applicable here? Please show your work.
arrow_forward
Effects of Preferences on Study
Habits to the Academic Performance
of Grade 11 students. What is the
independent variable? *
Effects
Study Habits
Academic Performance
Grade 11 students
Effects of Preferences on Study
Habits to the Academic Performance
of Grade 11 students. What is the
dependent variable?
Effects
O Study Habits
Academic Performance
Grade 11 students
Correlational Analysis on the Length
of Study Period and the Academic
Efficiency of Grade 12 students. What
is the independent variable?
Length of study period
Academic efficiency
Correlational Analysis
if DV is length of study period IV is
academic efficiency
Correlational Analysis on the Length
of Study Period and the Academic
Efficiency of Grade 12 students. What
is the dependent variable? *
Length of study period
Academic efficiency
Correlational analysis
if IV is length of study period, DV is
academic efficiency
Correlational Analysis between
Mathematical Ability and Scientific
Ability of Grade 12 students. What is
the…
arrow_forward
Statistics students in Oxnard College sampled 9 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The bivariate data are shown below:
Number of Pages (x)251621529582722764268691436Cost(y)
251
35.6388.7383.7782.6699.86110.3253.8497.8374.68
a. A student calculates a linear model y= x+ . (Please show your answers to two decimal places)
b.Use the model to estimate the cost when number of pages is 207.Cost = $ (Please show your answer to 2 decimal places.)
arrow_forward
The systolic blood pressure of individuals is thought to be related to both age and weight. Let the systolic blood pressure, age, and weight be represented by the variables x1, x2, and x3, respectively. Suppose that Minitab was used to generate the following descriptive statistics, correlations, and regression analysis for a random sample of 15 individuals.
Relative to its mean, which variable has the greatest spread of data values?
arrow_forward
Only one can be chosen
arrow_forward
Why is the equation of the regression line for this scatter plot ?
arrow_forward
Let price denote a price index for the goods sold by a restaurant, advert the amount spent on advertising, sales the sales for the restaurant, and consider the following
two regressions
First regression: sales = B1 + B2price + B3price? + B4advert + ßsadvert? + e,
Second regression: sales = B1 + B2price + B3price? + e
We estimate both regressions using a sample of 105 observations. The sum of square residuals (E ê) from the first regression equals 50, while the sum of square
Li=1
residuals from the second regression equals 70. Suppose we are interested in testing the null hypothesis that expected sales do not depend on advertising. What is the F-
statistic for this null hypothesis? Recall the F-statistic is given by ((SSER - SSEU)/J)/(SSEy/(n – K)).
O a. -15
O b. 42
Oc.
21
O d. 20
O e. All other options are incorrect.
arrow_forward
SEE MORE QUESTIONS
Recommended textbooks for you

Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill

Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Related Questions
- What percentage of the variation in can be explained by the corresponding variations in and taken together?arrow_forwardcalcium is essential to tree growth because it promotes the formation of wood maintains cell walls. in 1990, the concentration of calcium in precipitation in certain area was 0.11 milligrams per liter (mg/L). A random sample of 10 precipitation dates 2007 results in the following data table. complete parts (a) through (c) below H0 mean= 0.11 Ha mean not =0.11 data table 0.074 0.079 0.073 0.272 0.127 0.189 0.117 0.223 0.305 0.115 b. construct a 98% confidence interval about the sample mean concentration of calcium precipitation the lower bound the upper boundarrow_forwardBoth arm circumference and BMI measurements have been used as screening tools for being underweight, overweight, or obese. We want to determine if there is a significant correlation between arm circumference (in centimeters or cm) and body mass index or BMI (in kg.m2) among 10 participants. The results of a correlation and regression analysis are indicated in the Excel output below. The mean arm circumference (the independent variable) was 35.2 cm, and the mean BMI (the dependent variable) was 30.7 kg.m2. SUMMARY OUTPUT Regression Statistics Multiple R 0.855646 R Square 0.732129 Adjusted R Square 0.698646 Standard Error 3.806088 Observations 10 ANOVA df SS MS F Significance F Regression 1 316.7456 316.7456 21.86518 0.001590054 Residual 8 115.8904 14.4863 Total 9 432.636…arrow_forward
- What percent of the variability in the response variable is explained by the explanatory variable? Is the relationship between the two variables significant or not? Show your work.arrow_forwardRental revenue (in millions of dollars) 4. Can movie rental revenue be predicted? A movie studio wishes to determine the relationship between the revenue from rental of comedies on streaming services and the revenue generated from the theatrical release of such movies. The studio has the following bivariate data from a sample of fifteen comedies released over the past five years. These data give the revenue x from theatrical release (in millions of dollars) and the revenue y from streaming service rentals (in millions of dollars) for each of the fifteen movies. Also shown are the scatter plot and the least- squares regression line for the data. The equation for this line is y=3.30 +0.15x. Theater revenue, X Rental revenue, y (in millions of dollars) (in millions of dollars) 61.1 16.5 44.8 6.1 个y 18- 36.8 12.1 16 61.4 9.6 14- 13.3 9.7 12- 25.8 9.0 10- ャ★ 20.2 4.6 X. 8 26.3 7.7 7.3 2.6 48.5 15.9 27.7 11.7 20 30 70 28.3 2.8 Theater revenue 66.3 10.1 (in millions of dollars) 29.9 6.3 22arrow_forwardDetermine the critical r values and if the correlation is significantarrow_forward
- Interpret this statistic. Why was gamma applicable here? Please show your work.arrow_forwardEffects of Preferences on Study Habits to the Academic Performance of Grade 11 students. What is the independent variable? * Effects Study Habits Academic Performance Grade 11 students Effects of Preferences on Study Habits to the Academic Performance of Grade 11 students. What is the dependent variable? Effects O Study Habits Academic Performance Grade 11 students Correlational Analysis on the Length of Study Period and the Academic Efficiency of Grade 12 students. What is the independent variable? Length of study period Academic efficiency Correlational Analysis if DV is length of study period IV is academic efficiency Correlational Analysis on the Length of Study Period and the Academic Efficiency of Grade 12 students. What is the dependent variable? * Length of study period Academic efficiency Correlational analysis if IV is length of study period, DV is academic efficiency Correlational Analysis between Mathematical Ability and Scientific Ability of Grade 12 students. What is the…arrow_forwardStatistics students in Oxnard College sampled 9 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The bivariate data are shown below: Number of Pages (x)251621529582722764268691436Cost(y) 251 35.6388.7383.7782.6699.86110.3253.8497.8374.68 a. A student calculates a linear model y= x+ . (Please show your answers to two decimal places) b.Use the model to estimate the cost when number of pages is 207.Cost = $ (Please show your answer to 2 decimal places.)arrow_forward
- The systolic blood pressure of individuals is thought to be related to both age and weight. Let the systolic blood pressure, age, and weight be represented by the variables x1, x2, and x3, respectively. Suppose that Minitab was used to generate the following descriptive statistics, correlations, and regression analysis for a random sample of 15 individuals. Relative to its mean, which variable has the greatest spread of data values?arrow_forwardOnly one can be chosenarrow_forwardWhy is the equation of the regression line for this scatter plot ?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt

Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill

Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt