A psychologist surveys a group of working married women to see if contribution to income (in thousands) predicts contribution to housework (rated on a scale of 1-10). Here are the results for four participants: Income Housework Contribution Contribution 3. 6. 6. 4. 10 M= 3.25 M = 6 a). Figure the linear prediction rule. b). Predict the contribution to housework for whom the contribution to income is 5. c). Make a graph with the regression line.
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- If the data analyst hypothesizes that grocery sales are higher when payment is made using credit cards compared to cash payment, the null hypothesis would likely state that grocery sales are lower when payment is made using credit cards compared to cash payment. T/FIn terms of the model parameters, state the null hypothesis that, after controlling for sales and roe, ros has no effect on CEO salary. State the alternative that better stock market performance increases a CEO’s salary.The maximum discount value of the Entertainment® card for the “Fine Dining” section, Edition 10, for various pages is given below. Page number Maximum value ($)4 1614 1925 1532 1743 1957 1572 1685 1590 17a) Decide which variable should be the independent variable and which should be the dependent variable. Justify your choice. b) Draw a scatter plot of the ordered pairs. c) Does it appear that the restaurants giving the maximum value are placed in the beginning of the “Fine Dining” section? How did you arrive at your answer? d) What is the slope of the least squares (best-fit) line? Interpret the slope. e) What is the intercept of the least squares (best-fit) line? Interpret the intercept. f) Write down the equation for the least squares line. Interpret your equation. g) Find the estimated maximum…
- Large companies typically collect volumes of data before designing a product, not only to gain information as to whether the product should be released, but also to pinpoint which markets would be the best targets for the product. Several months ago, I was interviewed by such a company while shopping at a mall. I was asked about my exercise habits and whether or not I'd be interested in buying a video/DVD designed to teach stretching exercises. I fall into the male, 18-35-years-old category, and I guessed that, like me, many males in that category would not be interested in a stretching video. My friend Holly falls in the female, older-than-35 category, and I was thinking that she might like the stretching video. After being interviewed, I looked at the interviewer's results. Of the 89 people in my market category who had been interviewed, 20 said they would buy the product, and of the 103 people in Holly's market category, 28 said they would buy it. Assuming that these…Use this data and create a model that estimates a student's giving rate as an alumni based on the three parameters provided. If a class has a graduation rate of 74, the % of classes under 20 student equal to 55, and a Student=Faculty Ratio of 19, what should we expect our Alumni Giving Rate to be? (Enter a whole number) University Graduation Rate % of Classes Under 20 Student-Faculty Ratio Alumni Giving Rate Boston College 85 39 13 25 Brandeis University 79 68 8 33 Brown University 93 60 8 40 California Institute of Technology 85 65 3 46 Carnegie Mellon University 75 67 10 28 Case Western Reserve Univ. 72 52 8 31 College of William and Mary 89 45 12 27 Columbia University 90 69 7 31 Cornell University 91 72 13 35 Dartmouth College 94 61 10 53 Duke University 92 68 8 45 Emory University 84 65 7 37 Georgetown University 91 54 10 29 Harvard University 97 73 8 46 Johns Hopkins University 89 64 9 27 Lehigh University 81 55 11 40 Massachusetts Inst.…In forestry, the diameter of a tree at breast height is used to model the height of the tree. Silviculturists working in British Columbia’s boreal forest conducted a series of spacing trials to predict the heights of several species of trees. The data are the breast height diameters (in centimeters) and heights (in meters) for a sample of 18 white spruce trees. B1 B2 18.9 20.0 15.5 16.8 19.4 20.2 20.0 20.0 29.8 20.2 19.8 18.0 20.3 17.8 20.0 19.2 22.0 22.3 16.6 18.8 15.5 16.9 13.7 16.3 27.5 21.4 20.3 19.2 22.9 19.8 14.1 18.5 10.1 12.1 5.8 8.0 B1: Breast Height Diameter of White spruce (cm) B2: Height (m) a) Plot the relationship using scatter diagram between the breast height diameters and the trees’ height. Are the breast height diameters and the trees’ height linearly related? What can you infer about the relationship between the two variables? Is a linear model appropriate? b) Compare the scatter plot in (a) with the correlation coefficient…
- Large companies typically collect volumes of data before designing a product, not only to gain information as to whether the product should be released, but also to pinpoint which markets would be the best targets for the product. Several months ago, I was interviewed by such a company while shopping at a mall. I was asked about my exercise habits and whether or not I'd be interested in buying a video/DVD designed to teach stretching exercises. I fall into the male, 18 – 35-years-old category, and I guessed that, like me, many males in that category would not be interested in a stretching video. My friend Diane falls in the female, older-than-35 category, and I was thinking that she might like the stretching video. After being interviewed, I looked at the interviewer's results. Of the 93 people in my market category who had been interviewed, 17 said they would buy the product, and of the 113 people in Diane's market category, 34 said they would buy it. Assuming that these data came…Large companies typically collect volumes of data before designing a product, not only to gain information as to whether the product should be released, but also to pinpoint which markets would be the best targets for the product. Several months ago, I was interviewed by such a company while shopping at a mall. I was asked about my exercise habits and whether or not I'd be interested in buying a video/DVD designed to teach stretching exercises. I fall into the male, 18 – 35-years-old category, and I guessed that, like me, many males in that category would not be interested in a stretching video. My friend Amanda falls in the female, older-than-35 category, and I was thinking that she might like the stretching video. After being interviewed, I looked at the interviewer's results. Of the 97 people in my market category who had been interviewed, 16 said they would buy the product, and of the 101 people in Amanda's market category, 31 said they would buy it. Assuming that these data came…The maximum discount value of the Entertainment® card for the “Fine Dining”section, Edition 10, for various pages is given below. Page number Maximum value ($)4 1614 1925 1532 1743 1957 1572 1685 1590 17What is the slope of the least squares (best-fit) line? Interpret the slope. What is the intercept of the least squares (best-fit) line? Interpret theintercept.
- A researcher is examining the effect of neighborhood crime-watch efforts have on the crime rate in those neighborhoods, but he is not sure what direction the relationship might be; neighborhoods with high crime rates might have more crime watch efforts that are an attempt to address the high level of crime, or neighborhoods with high crime rates may have fewer crime watch efforts, which might explain why they have so much crime. The appropriate hypothesis test would be:Refer to Exercise 7. Assume that p = 4.3 ± 0.1 cm and q = 2.1 ± 0.2 cm. Estimate f, and find the relative uncertainty in the estimate.On the Great Stark island, the likelihood of a residential fire is evenly distributed at 12 per month. Residents are evenly distributed along the 64-mile perimeter of the island. The government is providing fire protection, and a fire department's fixed cost is $60,000 per month. If the travel cost to fight a fire is $2,500 per mile, what is the optimal number of fire departments?