A multiple linear regression model is constructed using ‘consumption’ as the dependent variable and the other two as independent variables (Real Income X1 and Real Wealth as X2). State the population model equation.
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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.
A multiple linear regression model is constructed using ‘consumption’ as the dependent variable and the other two as independent variables (Real Income X1 and Real Wealth as X2). State the population model equation.
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- Question #4. US Universities found that 72% of people are concerned about the possibility that their personal records could be stolen over the Internet. If a random sample of 300 college students at a Midwestern university were taken and 228 of them were concerned about the possibility that their personal records could be stolen over the Internet, could you conclude at the 0.025 level of significance that a higher proportion of the university's college students are concerned about Internet theft than the public at large? Report the p-value for this test. Z0.025 = 1.96Question 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 4 Chen et al. (2000) examined the foraging behaviour of northern elephant seals (Mirounga angustirostris) that breed along the west coast of Mexico and the USA. They attached platform satellite transmitter terminals (PTTs) to 22 male seals and recorded, for each seal, the distance (km) to its main feeding area offshore and the amount of time (days) it spent at the feeding area. The results are presented below: What two null hypotheses are being tested with the output shown above? What statistical conclusions would you draw about these hypotheses? Complete the regression equation by filling in the blanks (to the nearest 3 decimal places). duration = + * distance What is one biological interpretation of this relationship between duration and distance ? What % of the variation in duration at main feeding area was explained by distance to feeding area?
- Question# 4: French Biscuit Manufacturer (FBM), produces two types of biscuits (i) double chocolate biscuits and (ii) tea time biscuits in two separate manufacturing units. They are interested in expanding the manufacturing units (one by one) because there is a demand in the market but facing a difficulty to decide which manufacturing unit should expand first. Company officials decided that the expansion decision was based upon monthly demand. FBM official consults you and requests to give your valuable suggestion which will be helpful for final decision. you analyzed the following normally distributed data: Monthly Sale of Biscuits Double Chocolate 8551 6314 5259 8138 8429 4807 8025 6845 6478 7513 9125 4894 9106 8775 10070 7845 6229 8459 10542 4196 Tea Time 10247 6601 7404 8919 9255 8404 6304 7803 11474 9131 13345 8118 6713 7439 10957 12098 9134 7535 10316 8125 Kindly provide the…Question # 4 French Biscuit Manufacturer (FBM), produces two types of biscuits (i) double chocolate biscuits and (ii) tea time biscuits in two separate manufacturing units. They are interested in expanding the manufacturing units (one by one) because there is a demand in the market but facing a difficulty to decide which manufacturing unit should expand first. Company officials decided that the expansion decision was based upon monthly demand. FBM official consults you and requests to give your valuable suggestion which will be helpful for final decision. you analyzed the following normally distributed data: Monthly Sale of Biscuits Double Chocolate 8551 6314 5259 8138 8429 4807 8025 6845 6478 7513 9125 4894 9106 8775 10070 7845 6229 8459 10542 4196 Tea Time 10247 6601 7404 8919 9255 8404 6304 7803…Question # 4 French Biscuit Manufacturer (FBM), produces two types of biscuits (i) double chocolate biscuits and (ii) tea time biscuits in two separate manufacturing units. They are interested in expanding the manufacturing units (one by one) because there is a demand in the market but facing a difficulty to decide which manufacturing unit should expand first. Company officials decided that the expansion decision was based upon monthly demand. FBM official consults you and requests to give your valuable suggestion which will be helpful for final decision. you analyzed the following normally distributed data: Monthly Sale of Biscuits Double Chocolate 8551 6314 5259 8138 8429 4807 8025 6845 6478 7513 9125 4894 9106 8775 10070 7845 6229 8459 10542 4196 Tea Time 10247 6601 7404 8919 9255 8404 6304 7803 11474 9131 13345 8118 6713 7439 10957 12098 9134 7535…
- Question# 4: French Biscuit Manufacturer (FBM), produces two types of biscuits (i) double chocolate biscuits and (ii) tea time biscuits in two separate manufacturing units. They are interested in expanding the manufacturing units (one by one) because there is a demand in the market but facing a difficulty to decide which manufacturing unit should expand first. Company officials decided that the expansion decision was based upon monthly demand. FBM official consults you and requests to give your valuable suggestion which will be helpful for final decision. you analyzed the following normally distributed data: Monthly Sale of Biscuits Double Chocolate 8551 6314 5259 8138 8429 4807 8025 6845 6478 7513 9125 4894 9106 8775 10070 7845 6229 8459 10542 4196 Tea Time 10247 6601 7404 8919 9255 8404 6304 7803 11474 9131 13345 8118 6713 7439 10957 12098 9134 7535 10316 8125 NEED BELOW PENDING…QUESTION 12 Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new-car buyers that trade in their old car has statistically significantly decreased, what can you conclude concerning the null hypothesis? Reject the null hypothesis Fail to reject the null hypothesisQUESTION 19 To study whether the students at a university are more or less satisfied with the current food service compared to the previous food service, a sample of 90 current students is taken and finds that 37 are satisfied with the current food service. A similar survey was taken for the previous food service in which 89 students surveyed found that 40 were satisfied with the previous food service. When testing the hypothesis (at the 5% level of significance) a higher percentage of students were satisfied with the previous food service than with the current food service, what is the test statistic? (please round your answer to 2 decimal places)
- Question 02 There is a claim that drink driving has been very common in high ways. The Highway Police randomly caught 300 drivers for breath alcohol test and found that 14% of drivers have breath alcohol over the legal limit. At 4% level of significance, use the p-value approach to test the hypothesis that the percentage of drivers who are drink driving is more than 10%.Question 3A comparison of two protective methods against corrosion yielded the following maximumdepth of pit(in thousand of an inch) in pieces of similar metals subjected to the respectivetreatments.Method I 68 75 69 75 70 69 72Method II 61 65 57 63 58At α = 1% use the Wilcoxon rank sum test to test the null hypothesis that the twomethods have identical medians against the alternative hypothesis that the median arenot equal.Suppose we want to predict job performance of Chevy mechanics based on mechanical aptitude test scores. Job Performance Mechanical Aptitude 1 40 2 45 1 38 3 50 2 48 3 55 3 53 4 55 4 58 3 40 5 55 3 48 3 45 2 55 4 60 5 60 5 60 5 65 4 50 3 58 6 60 3 45 Test at 0.05 level of significance. Assuming data is normal. Use 2 decimal places. Pick one method to be used: Chi-Square Test Mann Whitney U Test Spearman Rank and Friedman Test Mc Nemar’s Test for Correlated Proportions Kendall’s Coefficient of Concordance W Kolmogorov-Smirnov Test Multiple Regression After picking one method to be used, answer the following: What test method to be used: R: Coefficient of Determination: Slope of the line: Y intercept: