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Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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- Refer to exhibit 1 below. What is the prediction equation for determining Heat BTU’s? a. Heat BTU’s = 389 + 2.12 Burn Rate + 5.32 Fuel density + 24.1 Mixing Time b. Heat BTU’s = 66 + 1.21 Burn Rate + 0.96 Fuel density - 1.87 Mixing Time c. Heat BTU’s = 5.89 + 1.75 Burn Rate + 5.52 Fuel density - 12.92 Mixing Time d. Heat BTU’s = 389 + 2.12 Burn Rate + 5.32 Fuel density - 24.1 Mixing Time Impossible to determine from this research6. A research center claims that at least 30% of adults in a certain country think that their taxes will be audited. In a random sample of 1200 adults in that country in a recent year, 26% say they are concerned that their taxes will be audited. At α=0.10, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. Question content area bottom Part 1 (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. enter your response here % of adults in the country think that their taxes will be audited. B. The percentage of adults in the country who think that their taxes will be audited is not enter your response here %. C. At least 30 30% of adults in the country think that their taxes will be audited. Your answer is correct. D. Less than…Table 10-2 A problem with a phone line that prevents a customer from receiving or making calls is upsetting to both the customer and the telecommunications company. The file “Phone” contains samples of 20 problems reported to two different offices of a telecommunications company and the time toclear these problems (in minutes) from the customers’ lines: Central Office I Time to Clear Problems (minutes) 1.48 1.75 0.78 2.85 0.52 1.60 4.15 3.97 1.48 3.10 1.02 0.53 0.93 1.60 0.80 1.05 6.32 3.93 5.45 0.97 Central Office II Time to Clear Problems (minutes) 7.55 3.75 0.10 1.10 0.60 0.52 3.30 2.10 0.58 4.02 3.75 0.65 1.92 0.60 1.53 4.23 0.08 1.48 1.65 0.72 Assuming that the population variances from both offices are not equal, is there evidence of a difference in the mean waiting time between two offices? (Use a = 0.01) ▪ You may need to download file “Phone”. Referring to Table 10-2, judging from the way the data were collected, which test would likely be most appropriate to…
- Table 10-2 A problem with a phone line that prevents a customer from receiving or making calls is upsetting to both the customer and the telecommunications company. The file “Phone” contains samples of 20 problems reported to two different offices of a telecommunications company and the time toclear these problems (in minutes) from the customers’ lines: Central Office I Time to Clear Problems (minutes) 1.48 1.75 0.78 2.85 0.52 1.60 4.15 3.97 1.48 3.10 1.02 0.53 0.93 1.60 0.80 1.05 6.32 3.93 5.45 0.97 Central Office II Time to Clear Problems (minutes) 7.55 3.75 0.10 1.10 0.60 0.52 3.30 2.10 0.58 4.02 3.75 0.65 1.92 0.60 1.53 4.23 0.08 1.48 1.65 0.72 Assuming that the population variances from both offices are not equal, is there evidence of a difference in the mean waiting time between two offices? (Use a = 0.01) ▪ You may need to download file “Phone”. Referring to Table 10-2, at the α = 0.05 level, the correct critical value(s) is (are) Question 3 options:…Table 10-2 A problem with a phone line that prevents a customer from receiving or making calls is upsetting to both the customer and the telecommunications company. The file “Phone” contains samples of 20 problems reported to two different offices of a telecommunications company and the time toclear these problems (in minutes) from the customers’ lines: Central Office I Time to Clear Problems (minutes) 1.48 1.75 0.78 2.85 0.52 1.60 4.15 3.97 1.48 3.10 1.02 0.53 0.93 1.60 0.80 1.05 6.32 3.93 5.45 0.97 Central Office II Time to Clear Problems (minutes) 7.55 3.75 0.10 1.10 0.60 0.52 3.30 2.10 0.58 4.02 3.75 0.65 1.92 0.60 1.53 4.23 0.08 1.48 1.65 0.72 Assuming that the population variances from both offices are not equal, is there evidence of a difference in the mean waiting time between two offices? (Use a = 0.01) ▪ You may need to download file “Phone”. Referring to Table 10-2, at the α = 0.05 level, the decision is Question 5 options: 1) Cannot…Table 10-2 A problem with a phone line that prevents a customer from receiving or making calls is upsetting to both the customer and the telecommunications company. The file “Phone” contains samples of 20 problems reported to two different offices of a telecommunications company and the time toclear these problems (in minutes) from the customers’ lines: Central Office I Time to Clear Problems (minutes) 1.48 1.75 0.78 2.85 0.52 1.60 4.15 3.97 1.48 3.10 1.02 0.53 0.93 1.60 0.80 1.05 6.32 3.93 5.45 0.97 Central Office II Time to Clear Problems (minutes) 7.55 3.75 0.10 1.10 0.60 0.52 3.30 2.10 0.58 4.02 3.75 0.65 1.92 0.60 1.53 4.23 0.08 1.48 1.65 0.72 Assuming that the population variances from both offices are not equal, is there evidence of a difference in the mean waiting time between two offices? (Use a = 0.01) ▪ You may need to download file “Phone”. Referring to Table 10-2, the correct test statistic is Question 4 options: 1) 2.04, -2.04.…
- The management of BCD Inc. would like to separate the fixed and variable components of electricity as measured against machine hours in one of its plants. Data collected over the most recent six months follow:Electricity MachineMonth Cost Hours January $1,100 4,500February 1,110 4,700March 1,050 4,100April 1,200 5,000May 1,060 4,000June 1,120 4,600Required: 1. Using the method of least squares, compute the fixed cost and the variable cost rate for electricity expense. (Round estimates to the nearest cent.) 2. Compute coefficients of correlation and determinationQuestion 4It is believed that the mean rental price of properties in area 2 is higher than that in area 1. A sample of 300 properties in area1 and 250 properties in area 2 are collected. An independent samples t-test is used to compare the mean rental price of two areas. Table 3 displays the independent samples t-test output. Table 3: Output of an independent sample t-test Area 1 Area 2Mean 194.93 240.84Variance 652.50 2773.19Observations 300 250Hypothesized Mean Difference 0.00df 345.00t Stat -12.60P(T<=t) one-tail 0.001t Critical one-tail 1.65P(T<=t) two-tail 0.002t Critical two-tail 1.97 1) Give appropriate null and alternative hypotheses.Null hypothesis H 0 Alternative hypothesis H 1 2) Find the p value for this test.3) The alpha level is set at 0.05, what decision should be made about the hypotheses. Give evidence for your choice.Question 3 A) Human resource controls represent one of the principles of internal control activities. Specify three common approaches of implementing of controls of human resource. B) Mr. Ahmad, the owner of Bundle Sdn Bhd, has adopted the perpetual inventory system instead of periodic inventory system to ensure the company’s control over the inventory. In addition, he plans to perform a physical stock count every quarter until he is confidence with the reliability of the perpetual inventory system. Required: a) Explain the difference between perpetual inventory system and periodic inventory system.
- Question Two A Deputy Registrar at a certainty university conducted a Chi-Square test of association to establish whether or not employee grade and level of absenteeism were associated. Table 2 below shows part of the results which were obtained. Table 2: Cross tabulation of employee grade and level of absenteeism Contingency Tables Grade LAbsence 1 2 3 Total low Observed 8 1 0 9 Expected 2.90 3.48 2.61 9.00 high Observed 2 11 9 22 Expected 7.10 8.52 6.39 22.00 Total Observed 10 12 9 31 Expected 10.00 12.00 9.00 31.00 2.1 State the appropriate measurement scales for the variables. 2.2 State the null and alternative hypotheses. 2.3 Calculate the expected frequency corresponding to a Grade 3 academic with a high level of absenteeism. 2.4 Find the Chi-Square critical value and test…Caffeine is a common drug that affects the central nervous system. Among Problem 3.4 the issues involved with caffeine are how does it get from the blood to the brain, and does the presence of caffeine alter the ability of similar compounds to move across the blood-brain barrier? In this experiment, 15 lab rats were randomly assigned to one of 3 treatments (0, 5, and 10 mM of caffeine). Each treatment consisted of an arterial injection of C14-labeled adenine together with a concentration of caffeine (0 to 50 mM). Shortly after injection, the concentration of labeled adenine in the rat brains is measured as the response (data from McCall, Millington, and Wurtman 1982). 0 mM 5 mM 10 mM 5.74 5.92 3.05 6.9 3.66 1.94 3.86 4.62 1.23 6.94 3.47 3.45 6.49 1.33 1.61 What is the most appropriate test to determine if the three caffeine concentrations resulted to different mean adenine concentration of silage at 5% level of significance? Justify…Question No: Engro group, who recently sold its Engro foods start-up for a multi-million-rupees sum, is looking for another investment for fresh capital. It is considering an investment in coal (X) and solar (Y) power plant. For that they had a collected data on 5 different characteristics. Amanda has applied k-means clustering to this data for k = 2. Given the following data: Table 5.1 Observations X Y 1 20 18 2 8 20 3 36 26 4 22 12 5 14 4 d) Visually represent the clusters of both parts (b) and (c). Note: I have already attach "B" and "c" part with images that have been solve. Only do "D" part for solve.