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- The cost of a leading liquid laundry detergent in different sizes is given below Size (ounces) Cost ($) 16 3.99 32 4.99 64 5.99 200 10.99 A. Write a brief description of the association.B. What is the strength of the relationship between the size of the laundry detergent and the cost? Use the correlation coefficient in your explanation.C. State the model for the size of the laundry detergent and the cost.D. Interpret the slope of your model in context.E. Interpret the intercept of your model in context. F. In the context of the problem is it better to have a positive or negative residual. Explain. G. Use the linear model to predict the cost of 300 ounces of laundry detergent.A state's park system statistical report for the 2014/2015 fiscal year gave the accompanying data on x = amount of money collected in user fees (in thousands of dollars) and y = operating cost (in thousands of dollars) for nine state parks in a certain district. User Fees (thousands of dollars) Operating Costs (thousands of dollars) 17 99 74 363 811 3,618 380 1,377 33 241 427 768 500 1,034 734 2,205 760 1,620 (a) Construct a scatterplot of the data. A scatterplot has 9 points. The horizontal axis is labeled "x" and ranges from approximately 0 to 900. The vertical axis is labeled "y" and ranges from 0 to 4,000. The points are plotted from left to right in a horizontal band, starting from the middle left of the diagram. The points are somewhat scattered, becoming more scattered from left to right, and are between the approximate horizontal axis values of 10 and 820 and between the approximate vertical axis values of 100 and 2,000. A scatterplot has 9 points. The horizontal axis is…A sales manager collected the following data on annual sales for new customer accounts and the number of years of experience for a sample of 10 salespersons. Years of Annual Salesperson Experience Sales ($1000s) 80 81 82 1 2 3 4 5 6 7 8 9 1 2 4 6 7 7 8 10 12 14 101 107 102 103 109 104 10 119 The data on y = annual sales ($1000s) for new customer accounts and = number of years of experience for a sample of 10 salespersons provided the estimated regression equation ŷ = 78.07 +2.92€. For these data = 7.1, Σ(x₁ - x)² = 154.90, and = 5.8255. a. Develop the 90% confidence interval for the mean annual sales ($1000s) for all salespersons with thirteen years of experience. ($ X) (to 2 decimals) b. The company is considering hiring Tom Smart, a salesperson with thirteen years of experience. Develop a 90% prediction interval of annual sales ($1000s) for Tom Smart. ) (to 2 decimals) ($ c. Discuss the differences in your answers to parts (a) and (b). As expected, the prediction interval is much…
- Q5HelpThe table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. X Y 11.4 8.4 6.6 13.7 11 9.3 X = thousands of automatic weapons y = murders per 100,000 residents 3.7 7.5 This data can be modeled by the equation y = Answer = 2.4 2.6 2.4 0.4 6.3 5.9 6.2 4.1 to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. Answer = 0.84x +4.01. Use this equation A) How many murders per 100,000 residents can be expected in a state with 6.2 thousand automatic weapons? Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 6.9 thousand automatic weapons? Round to 3 decimal places.
- Q2 Fifteen adults of males between age of 35 and 50 participated in a study to evaluate the effect of diet and exercise on blood cholesterol level. The total cholesterol was measure in each subject initially and then three month after participating in aerobic exercise program and switching to low fight diet. The data are shown in the table below: Before 256 240 258 295 251 205 238 247 225 294 238 229 After 229 231 227 234 218 218 230 243 221 240 219 211 a. Do the data support the claim that low fat diet and aerobic exercises are of value in producing a mean reduction in blood cholesterol level at 5 % level of significance? (show all steps of hypothesis testing) b. Construct a one sided confidence interval that can be used to answer the question in part a. Check the results obtained in part a using R-Studio. Write your conclusion based on the p-value obtained in R studio. C.Christine is a sales manager for a car rental company. She has a scatterplot with data regarding the years of experience of sales representatives and percent of satisfied customers. What information would the scatterplot below indicate? Select all that apply. 100 90 80 70 50 40 30 20 10 1 3 5 6 7 Years of Experience of Salesperson O Satisfaction rate is the independent variable. O Satisfaction rate is the dependent variable. O Years of experience is the independent variable. O Years of experience is the dependent variable. O Christine should consider customer satisfaction training for her more novice representatives. O There is a positive correlation between years of experience and customer satisfaction. O There is a negative correlation between years of experience and customer satisfaction. O There is no correlation between years of experience and customer satisfaction. Percent of Satisfied CustomersThe caloric content (in calories) and sodium content (in mg) were collected for 27 beef hotdogs. The data are in the table below. X, caloric content Y, sodium content 141 386 153 401 139 322 135 298 157 440 149 319 184 482 140 326 185 486 187 499 186 495 175 479 191 591 159 374 111 300 149 379 190 587 177 429 176 425 190 645 131 317 148 375 132 253 182 481 176 483 181 477 149 322
- 4. A college professor is interested in finding the strength of a relationship between the final exam grades of students enrolled in Algebra and Calculus classes. The data are given below. Algebra (x) Calculus (y) 83 78 97 95 80 83 95 97 73 78 78 72 91| 86 90 80 5. A medical researcher wants to determine how the dosage (in mg) of a drug affects the heart rate of the patient. The data for seven patients are given here. Drug dosage (x) 0.125 | 0.200 95 0.250 0.300 0.350 0.400 | 0.500 Heart rate (y) 90 93 92 88 80 82 Compute the following. A. Sxx, SSyy, SSxy B. Standard deviation errors C. Coefficient of DeterminationThe table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.5 8.4 6.8 3.4 2.5 2.6 2.6 0.9 13.5 10.9 9.8 6.7 6.3 6.4 4.5 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation 0.83x + 3.99. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. A) How many murders per 100,000 residents can be expected in a state with 8.4 thousand automatic weapons? Answer Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 7.3 thousand automatic weapons? Answer Round to 3 decimal places.Select the most appropriate response. If the correlation between a person’s age and annual income is 0.60, then the coefficient of determination tells us that: 36% of the variation in a person’s annual income can be explained by the predictor variable age. 36% of a person’s annual income can be explained by their age 60% of the variation in a person’s annual income can be explained by the predictor variable age 60% of a person’s annual income can be explained by their age