Course/Subject: StatisticsTitle: Correlation and Simple Linear RegressionPlease help me answer the activity. A study was conducted to explore the relationship of students' performance on a particular collegemathematics achievement test (Y) to two factors. Factor 1 (X₁) is the teacher's rating (1-10, a higher ratingmeans more effective) on the effectivity of strategies used in discussing the lesson related to the test. Factor2 (X₂) on the other hand is the quality of mathematics background as reflected by the students' generalweighted average in all mathematics courses undertaken in the senior high school. Here is the collecteddata.Teachers Rating (X)SHS GWA (X₂)3867 1 10 5 7 4575 80 79 91 94 87 93 75 81 92Score in the Achivement Tear (1) 87 60 96 77 80 89 88 75 94 85A. Compute the correlation coefficient between (1) Y and X₁ and (2) Y and X₂ to identifywhich factor is related to students' performance. Complete the following beforeproviding the coefficients.$_$_$]). g.SXX₂ ==-=()SXX₂=-8-21.00.SYY=y-(22)SX₂Y =71XSX₂YVXY=ĹXuY-SX,Y(SXX, ) (SYY)=("1)( SX,YFX,Y = √(Sxx.) (SYY)))(Brief Interpretation:B. Estimate a linear regression line between Y and the factor more related to it (basedfrom the results in A). After which, compute the coefficient of determination andinterpret the result. Also, predict the performance of a student if teachers rating is 9 orhis GWA is 83. Assume that the given data does violate any residual assumption.Mean of the independent variable:Mean of the dependent variable:-8-b₂=( )-( )( )-The estimated regression line isThis mean thatR²_b. SXY (100%) =) (100%) =()SYYThis mean thatPrediction:

The given information can be summarized as follows: X1 X2 Y X12 X22 Y2 X1Y X2Y 7 75 87 49 5625…

Answered: A study was conducted to explore the…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 15PPS

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Walgreens purchased several new processing machines. The production department needed some guidance with respect to qualification needed by an operator. Is age a factor? Is the lenght of service as an operator (in years) important? In order to explore further, the factors needed to estimate performance on the new processing machines, 4 variables were listed; X1 - Length of time an employee was in the industry X2 - Mechanical aptitude test score X3 - Prior on the job rating X4 - Age Performance on the new machine is designated as y 30 employees were selected at random. Data were collected for each, and their performances on the new machines were recorded. A few results are; Name Performance on new machine (y) Length of time in industry (X1) Mechanical aptitude score (X2) Prior on the job performance (X3) Age (X4) Bill 112 6 310 115 49 Brenda 120 3 320 117 28 The equation is attached; As age increases by one year, how much does estimated performance on the new…
A research study was conducted about gender differences in Sexting. The researcher believe that the proportion of girls involved in sexting is less than the proportion of boys involved. The data collected in the spring of 2010 among a random sample of middle and high school students in a large school district in the southern United States is summarized in table. Is the proportion of girls sending sexts less than the proportion of boys sexting? The test at 1% level of significance. Females Males Sent sexts x1= 156 x2= 183 Total number surveyed n1= 2169 n2= 2231 Let M and F Be the subscripts for males and females. Then pM and pF are the desired population proportions. What is the question/claim to be tested in symbols the hypothesis is Ho: Ha: which hypothesis matches the claim test objective is to reject or support level of significance a=.01 type of test (left, right, two-tailed) the applicable test to be applied is (2-sampZTEST/2-sampTTEST, 2-propZTEST)…
A recent study on driving behavior examined whether the combination of high driving skills and low safety skills is dangerous. Participants were classified as high or low in driving skill based on responses to a driver-skill inventory, then classified as high or low in safety skill based on responses to a driver-aggression scale. An overall measure of driving risk was obtained by combining several variables such as number of accidents, tickets, tendency to speed, etc. The following data were obtained. Use a 2 x 2 ANOVA with the .05 significance level to evaluate the results. What cutoff score(s) should be used? Driving Skill Low High Safety Skill Low M1=5 M2=4.5 S1=2.7 S2=3.8 N1=6 N2=6 HIgh M3=3 M4=3.5 S3=2.9 S4=2.5 N3=6 N4=6 Group of answer choices +4.35 +3.40 +3.49 +4.26
A recent study on driving behavior examined whether the combination of high driving skills and low safety skills is dangerous. Participants were classified as high or low in driving skill based on responses to a driver-skill inventory, then classified as high or low in safety skill based on responses to a driver-aggression scale. An overall measure of driving risk was obtained by combining several variables such as number of accidents, tickets, tendency to speed, etc. The following data were obtained. Use a 2 x 2 ANOVA with the .05 significance level to evaluate the results. Which of the following is one of the research hypotheses? Driving Skill Low High Safety Skill Low M1=5 M2=4.5 S1=2.7 S2=3.8 N1=6 N2=6 HIgh M3=3 M4=3.5 S3=2.9 S4=2.5 N3=6 N4=6 Group of answer choices The difference in driving risk between drivers with high and low driving safety does not depend on driving skill level On average, drivers classified as high and low in safety skill do not…
Beachcomber Ltd in a local car dealership that sells used and new vehicles. The manager of thecompany wants to know how different variables affect the sales of his vehicles. A random sample ofyearly data was taken with the view to testing the model:SALES=?+?AGE+?MIL+?ENGWhere SALES= amount that a vehicle is sold for($000’s), AGE = age of the vehicle, MIL= the totalmileage of the vehicle at the point of sale and ENG = the size of the engine. The sample of data wasprocessed using MINITAB and the following is an extract of the output obtained:The regression equation is *****PredictorCoef StDev t-ratio p-valueConstant1.7586 0.2525 6.9648 0.0000AGE 0.2124 0.3175 * 0.5042MIL -0.75270.3586 -2.0991 **ENG 4.8124 0.6196 7.7664 0.0000Analysis of VarianceSource DF SS MS F pRegression3 413.1291 138.7097*** 0.00Error 50 457.7607 2.2888Total 53a) What is dependent and independent variables? b) Fully write out the regression equation c) Fill in the missing values ‘*’, ‘**’, ‘***’and ‘***’. d) Hence…
Beachcomber Ltd in a local car dealership that sells used and new vehicles. The manager of thecompany wants to know how different variables affect the sales of his vehicles. A random sample ofyearly data was taken with the view to testing the model:SALES=?+?AGE+?MIL+?ENGWhere SALES= amount that a vehicle is sold for($000’s), AGE = age of the vehicle, MIL= the totalmileage of the vehicle at the point of sale and ENG = the size of the engine. The sample of data wasprocessed using MINITAB and the following is an extract of the output obtained: a) What is dependent and independent variables? b) Fully write out the regression equation c) Fill in the missing values ‘*’, ‘**’, and ‘***’. d) Hence test whether ? is significant. Give reasons for your answer. e) Perform the F Test making sure to state the null and alternative hypothesis. f) Given an interpretation of the term “R-sq” and comment on its value.
If I studied the relationship between class size and student achievement, what kind of research design would I use?
Thompson Photo Works purchased several new, highly sophisticated processing machines. The production department needed some guidance with respect to qualifications needed by an operator. Is age a factor? Is the length of service as an operator (in years) important? To evaluate the factors needed to estimate performance on the new processing machines, four variables were selected: x1 = Length of time an employee was in the industryx2 = Mechanical aptitude test scorex3 = Prior on-the-job ratingx4 = Age Performance on the new machine is designated y.Thirty employees were randomly selected and data were collected for each of the variables. A few results follow: Performance on New Machine, Length of Time in Industry, Mechanical Aptitude Score, Prior On-the-Job Performance, Age, Name y x1 x2 x3 x4 Mike Miraglia 111 6 300 129 45 Sue Trythall 115 10 327 121 26 The equation is:yˆy⁢^⁢ = 10.8 + 0.7x1 + 0.386x2 + 0.112x3 + 0.001x4 d. As age increases by one…
Thompson Photo Works purchased several new, highly sophisticated processing machines. The production department needed some guidance with respect to qualifications needed by an operator. Is age a factor? Is a person's mechanical aptitude score important? To evaluate the factors needed to estimate performance on the new processing machines, four variables were selected: x1 = Length of time an employee was in the industryx2 = Mechanical aptitude test scorex3 = Prior on-the-job ratingx4 = Age Performance on the new machine is designated y.Thirty employees were randomly selected and data were collected for each of the variables. A few results follow: Name Performance on New Machine,y Length of Time in Industry,x1 Mechanical Aptitude Score,x2 Prior On-the-Job Performance,x3 Age,x4 Mike Miraglia 112 4 392 119 41 Sue Trythall 117 5 305 127 30 The equation is:yˆy⁢^⁢ = 10.3 + 0.4x1 + 0.986x2 + 0.212x3 + 0.007x4 As age increases by one year, how much does estimated performance on…
Dr. Ortega took a wide sample of people and timed them running a mile. There is a lot of variability in time, with some runners taking 5 minutes and others 20 minutes or more. Analyzing this further, Dr. Ortega wants to know what factors influence running speed? She hypothesizes that physical fitness and age play important roles, as do physical health and weight. For further clarity, Dr. Ortega calculates r2 for each variable and finds that the effect size for physical fitness is 29%.
Dr. Ortega took a wide sample of people and timed them running a mile. There is a lot of variability in time, with some runners taking 5 minutes and others 20 minutes or more. Analyzing this further, Dr. Ortega wants to know what factors influence running speed? She hypothesizes that physical fitness and age play important roles, as do physical health and weight. For further clarity, Dr. Ortega calculates r2 for each variable and finds that the effect size for physical fitness is 29%. In 50 words or less, explain what this means. View keyboard shortcuts EditViewInsertFormatToolsTable 12pt Paragraph Dr. Ortega took a wide sample of people and timed them running a mile. There is a lot of variability in time, with some runners taking 5 minutes and others 20 minutes or more. Analyzing this further, Dr. Ortega wants to know what factors influence running speed? She hypothesizes that physical fitness and age play important roles, as do physical…
A survey is conducted to understand the relationship between income and job satisfaction, what is the dependent variable in this scenario?

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