The price X (dollars per pound) and consumption y (in pounds per capita) of beef were samples for 10randomly selected years. The following data should be used to answer the question that follows.n = 10 Ex = 36.19 Ex2 = 134.172.9 < x s 6.2%3DEy = 36.19774.74 Ey² = 60739.23Exy = 2832.21Before the slope of the line of best fit can be estimated, it is necessary to calculate SSXX. Enter thevalue for SSxx accurate to the nearest tenth.Xх.

Answered: The price X (dollars per pound) and…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.5: Exponential And Logarithmic Models

Problem 4ECP

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For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or older who are college graduates in a particular city, by year. Based on the set of data given in Table 5, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient. Round to three decimal places of accuracy
bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
A regression between foot length (response variable in cm) and height (explanatory variable in inches) for 42 students resulted in the following regression equation: y = 10.4 + 0.21x If a student happened to be extraordinarily tall (say, 10ft, just for the fun of it) and had a foot size of 25 cm, how might this affect the slope of the regression line?
The mean height of Americanwomen in their twenties is about 64.3 inches, and the standard deviation is about 3.9 inches. The mean height of menthe same age is about 69.9 inches, with standard deviationabout 3.1 inches. Suppose that the correlation between theheights of husbands and wives is about r 0.5.(a) What are the slope and intercept of the regressionline of the husband’s height on the wife’s height in youngcouples?(b) Draw a graph of this regression line for heights of wivesbetween 56 and 72 inches. Predict the height of the husbandof a woman who is 67 inches tall, and plot the wife’s heightand predicted husband’s height on your graph.(c) You don’t expect this prediction for a single couple to bevery accurate. Why not?
Consider the following regression equation representing the linear relationship between the Canada Child Benefit provided for a married couple with 3 children under the age of 6, based on their annual family net income: ŷ =121.09−0.57246xR2=0.894 where y = annual Canada Child Benefit paid (in $100s) x = net annual family income (in $1000s) Source: Canada Revenue Agency a. As the net annual family income increases, does the Canada Child Benefit paid increase or decrease? Based on this, is the correlation between the two variables positive or negative?The Canada Child Benefit paid .The correlation between the two variables is .b. Calculate the correlation coefficient and determine if the relationship between the two variables is strong, moderate or weak.r= , the relationship is . Round to 3 decimal places c. Interpret the value of the slope as it relates to this relationship. For every $1 increase in annual family net income, there is a $0.57246 decrease in…
Consider the following regression equation representing the linear relationship between the Canada Child Benefit provided for a married couple with 3 children under the age of 6, based on their annual family net income: ŷ =121.09−0.57246xR2=0.894 where y= annual Canada Child Benefit paid (in $100s) x = net annual family income (in $1000s) Source: Canada Revenue Agency a. As the net annual family income increases, does the Canada Child Benefit paid increase or decrease? Based on this, is the correlation between the two variables positive or negative?The Canada Child Benefit paid ? .The correlation between the two variables is ? .b. Calculate the correlation coefficient and determine if the relationship between the two variables is strong, moderate or weak.r= , the relationship is ? . Round to 3 decimal places c. Interpret the value of the slope as it relates to this relationship. For every $1 increase in annual family net income, there is a $0.57246 decrease in…
A sociologist is interested in the relation between ?,the number of job changes and ?, the annual salary(in thousands of dollars) for people living in theNashville area. A random sample of 10 peopleemployed in Nashville provided the followinginformation:? 4 7 5 6 1 5 9 10 10 3? 33 37 34 32 32 38 43 37 40 33 What does the slope of the regression equationrepresent in terms of the annual salary? Identify any outliers or potential influentialobservations. Explain your reasoning. Identify the predictor and response variables. r2 = r= Interpret the meaning of r2 and how useful theregression equation is for making predictions. Please explain what kind of problem this is and how to solve it using a Ti83 calculator. Thank you
A sociologist is interested in the relation between ?, the number of job changes and ?, the annual salary (in thousands of dollars) for people living in the Nashville area. A random sample of 10 people employed in Nashville provided the following information: X 4 7 5 6 1 5 9 10 10 3 Y 33 37 34 32 32 38 43 37 40 33 A-C Answered! d) What does the slope of the regression equation represent in terms of the annual salary? e) Identify any outliers or potential influential observations. Explain your reasoning. f) Identify the predictor and response variables g)r^2=_____ h)r=_____ i) Interpret the meaning of r2 and how useful the regression equation is for making predictions. j) Interpret the meaning of r in terms of the linear relationship between the number of job changes and annual salary. k) Use the regression equation to predict the annual salary of a randomly selected employee who has had 8 job changes. l) A particular employee who has had 8 job changes has an annual salary…
Consider the following data set, where yy is the final grade in a math class and xx is the average number of hours the student spent working on math each week. hours/weekx Gradey 5 58 8 63.2 8 73.2 9 68.6 9 70.6 11 68.4 13 81.2 14 86.6 17 100 20 100 The regression equation is y=3.04⋅x+42.33y=3.04⋅x+42.33.Explain what the value of the slope means in this situation, where yy is the final grade in a math class and xx is the average number of hours the student spent working on math each week.Explain what the value of the y-intercept means in this situation.What is the predicted value for the final grade when a student spends an average of 15 hours each week on math?Grade = Round to 1 decimal place.
The following table gives the data for the grades on the midterm exam and the grades on the final exam. Determine the equation of the regression line, yˆ=b0+b1x. Round the slope and y-intercept to the nearest thousandth. Grades on Midterm and Final Exams Grades on Midterm 69 57 73 90 90 75 66 90 76 77 Grades on Final 84 74 72 98 76 72 60 75 76 60
The following table shows the amount of melted plastic (in grams) at various temperatures of the plastic (in Celsius). (i) Find the linear regression equation of the amount of melted plastic vs. temperature. (ii) Estimate the amount of melted plastic at temperature 1.75 Celcius. (iii) Calculate the coefficient of correlation and comment on the relationship between temperature and amount of melted plastic. (iv) Calculate the Spearman’s rank correlation coefficient for the above data.
Consider a linear regression model for the decrease in blood pressure (mmHg) over a four-week period with muy=2.8+0.8x and standard deviation chi=3.2. The explanatory variable x is the number of servings fruits and vegetables in a calorie-controlled diet. What is the slope of the population regression line?

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