How many tails are involved in the determination of the critical z value in the marketing research problem?
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How many tails are involved in the determination of the critical z value in the marketing research problem?
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- What does a trend line of zero look like on a scatter plot and what does that mean in regards to x and y ?Imagine that a professor of psychology has two teaching assistants (TAs) who will help her grade assignments for the duration of the semester. The professor wants to make sure that she and the TAs are well calibrated with one another, so she has all three of them grade the first assignment independently. Because the professor grades every assignment on a curve, she first converts the students’ scores to z-scores for each grader. The following table shows the z-scores for a population of 10 students in her class for each grader. Professor Teaching Assistant #1 Teaching Assistant #2 Student 1 0.70 1.27 1.27 Student 2 0.83 -0.64 -1.55 Student 3 -0.98 0.38 -0.14 Student 4 2.21 0.80 0.92 Student 5 -0.54 -1.34 -1.06 Student 6 0.43 0.10 0.30 Student 7 -1.03 -2.09 -1.50 Student 8 -0.01 0.85 1.14 Student 9 -0.54 0.48 0.57 Student 10 -1.07 0.20 0.04 The professor is going to use the z-scores to calculate the correlation coefficient between her scores…c) Show that the coefficient of determination, R², can also be obtained as the squared correlation between actual Y values and the Y values estimated from the regression model where Y is the dependent variable. Note that the coefficient of correlation between Y and X is Eyixi r = And also that ỹ = ŷ (18.75)
- An economist was interested in the relation between the disposable income of a family and the amount of money used for food per month. He did a preliminary study on eight randomly selected lower income families. (Each family was of the same size; father, mother and two children). The economist’s data are given in the table below. Food cost (Y) (in hundreds of rand) 55 60 42 40 37 26 39 43 Family disposable income(X) (in hundreds of rand) 30 36 27 20 16 24 19 25 Find the regression linear equation. What is the predicted food cost if the family disposable income is R1800? Find the correlation coefficient & Interpret r. Find the Coefficient of Determination & Interpret the R2.10) The top point in the scatter plot (6.5, 1459) is for Washington, DC. Find the predicted DC violent crime rate if x=6.5. Then find the residual for DC using the predicted violence crime rate and the actual violent crime rate (the actual crime rate is provided in the first sentence of this question). Prediction = Actual y-value = Residual =2. I surveyed 150 adults in the U.S. and asked them how many hours of TV the watched on average per week. I then ran a regression of # of hours of TV on whether or not they were a college graduate (=1 if yes, =0 if no), their age in years, the number of children in their household, and whether or not they live a cold climate (=1 if latitude is greater than 41.2, =0 otherwise). The results fro the regression are shown in the table below. Estimate p-value College Graduate -0.8 0.003 Age 0.1 0.150 Number of Children 0.10 0.521 Cold Climate 1.8 0.047 Intercept -1.23 0.041 (a) What is the dependent variable in this regression? (b) What are the independent variable(s) in this regression? (c) What is the unit of analysis? (d) What is the sample size? (e) What is one binary variable used in this analysis? (f) What is one ratio variable used in this analysis? (g) What is the predicted number of TV hours watched by a 50 year old, colleg graduate, with no children at home who lives in Arizona…
- Research was conducted to find out the relationships between pro-environmental attitudes and 20 concepts of nature. As expected, the pro-environmental attitudes were related to several of the concepts of nature measured. One of the possible research objectives in this study is to assess the relationship between level of knowledge on nature or the environment (X), and the frequency of engaging in pro-environmental behavior (Y) per month, e.g., recycling and using biodegradable products. The data from your study (from 15 respondents) are as follows: ID Y XY y2 1 7 12 3 7 11 5 8 19 9 7 4 8. 11 9. 2 10 8 16 11 7 12 19 13 7 10 14 7 13 15 3 ТОTAL18)The regression equation is intended to be the “best fitting” straight line for a set of data. Whatis the criterion for “best fitting”?The marketing research department of a large company knows that the company's monthly sales are influenced by the way in which it spends money on marketing. For example, monthly expenditures such as the ones listed below are known to have an effect on y, the company's total monthly sales (in millions of dollars). x = money spent on television advertising (in 1000's of dollars) X2 = money spent on promotion (i.e., free samples) x3 = money spent on newspaper advertising (in 1000's of dollars) X = average discounts offered to retail outlets (in %) Using data from the previous 26 months, the company decides to collect data on 3 of the independent variables to use in a multiple regression model for estimating monthly sales. If the R´ for this model is 0.5, fill in the missing entries in the ANOVA table associated with this model. Do all calculations to at least three decimal places. Source of variation Degrees of freedom Sums of Mean F statistic squares squares Regression Error Total 4+