Match each histogram to the boxplot that represents the same data set. (a) (b) (e) (d) (1) (2) (3) (4)
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- The business problem facing the director of broadcasting operations for a television station was the issue of standby hours and what factors were related to standby hours. The study included the following variables: Standby hours (Y) – Total number of standby hours in a week Weekly staff count (X1) – Weekly total of people-days Remote engineering hours (X2) – Total number of engineering hours worked by employees at locations away from the central plant Data were collected for 26 weeks. (See image attached) A)Interpret the meaning of the coefficients b1 and b2 in this problem B) What is the significance of b0? C) Predict the mean standby hours for a week in which the weekly staff count was 310 people-days and the remote-engineering hours total was 400For the data in the following table, what is the value of EX? f 1 4 4 1 O Cannot be determined from the information given O 10 O 20 O 15In a study a group of 50 adults were asked how comfortable they felt around 5 types of animals: dogs, cats, cows, horses and sheep. For each type of animal, each respondent gave a number between 0 and 100 to indicate their comfort level (0 being 'hate being around' to 100 being 'love being around'). The data are given in Table 10, along with the loadings of the first two principal components. Variable (b) (c) X₁ X₂ X3 X4 X5 Animal Mean Dogs 74.5 Cats 76.2 Cows 45.2 Horses 51.2 Sheep 48.3 Table 10 Standard Deviation Component 1 Loadings 8.1 7.5 7.1 8.6 6.9 0.724 -0.684 0.080 -0.040 -0.017 Component 2 0.387 0.425 0.464 0.449 0.503 (a) The data were not standardized prior to being analyzed using principal components. Give 2 reasons why the decision not to standardize is reasonable for these data. Interpret each of the 2 components. Justify your answer. Suppose a decision was taken to standardize the data after all. Calculate the values of the standardized variables for a person whose…
- The Great Britain Office of Population Census and Surveys once collected data on a random sample of 170 married couples in Britain, recording the age (in years) and heights (converted here to inches) of the husbands and wives.[1] The scatterplot on the left shows the wife's age plotted against her husband's age, and the plot on the right shows wife's height plotted against husband's height. Wife's age (in years) 60- 20- 20 40 Husband's age (in years) Age scatter plot 60 Height scatter plot Wife's height (in inches) 70- 65- 55- 60 Both scatter plots correspond to correlation coefficients greater than 0. Which plot shows a stronger correlation? 65 75 70 Husband's height (in inches)A food bank investigates if the number of times their donors walk by a homeless person each week impacts donors’ charitable contribution to the food bank. The data are presented below in standard form. # of homeless people seen each week Donation to food bank Donor ZX ZY 1 -1.3 0.36 2 0.64 -0.09 3 -1.1 1.26 4 -0.14 0.14 5 1.41 -0.54 6 -0.52 -0.09 7 1.03 -1.9 8 0.64 -0.99 9 0.83 0.36 10 -1.49 1.49 What does ΣZXZY equal? A) 941B) 7.86C) -7.16D) -4.44 What is the correlation (Pearson’s r) between the number of homeless people donors see each week and their donation to the food bank (rounded to 2 decimal places)? A) .98B) -.80C) .72D) -.56 What is the obtained t-value for this r? A) -2.96B) -16.35C) -3.72D) -1.89 What are the degrees of freedom? A) 4B) 20C) 8D) 10 What is the critical t-value? A) 3.68B) 2.31C) 2.01D) 3.30 What is your conclusion? A) There is…For Numbers 7 and 8: Researchers have long wondered whether intelligence (as measured by IQ) is affected by "nurture" than "nature," that is, whether people's IQ scores are mostly a function of their upbringing and environment or if they are primarily an inherited attribute. A study was conducted to determine the answer to the hypothesis. Since genetic differences may affect intelligence, researchers controlled this factor by conducting a "twin study". Thirty-two pairs of identical twins were obtained, of which one of whom is raised by birth parents and the other by someone else. They were reared apart and at the age of 5, their IQ scores were obtained. 7. The parameter of interest is A. IQ scores B. difference in the IQ scores of twins C. mean IQ scores of those who were raised by birth parents and mean lIQ scores of those who were raised by someone else D. mean difference in the 1Q scores of those who were raised by birth parents and those who were raised by someone else 8. Upon…
- ps15The following table was generated from the sample data of 1010 junior high students regarding the average number of hours they are unsupervised per night, the average number of hours they play video games per night, and their final grades in their math class. The dependent variable is the final grade, the first independent variable (x1x1) is the number of hours unsupervised each night, and the second independent variable (x2x2) is the number of hours of video games each night. Coefficients Standard Error t-Stat p-value Intercept 57.968435 7.227955 8.020032 0.000201 Hours Unsupervised 5.131630 1.314283 3.904510 0.007943 Hours Playing Video Games 1.067855 1.615039 0.661194 0.533040 Write the multiple regression equation for the computer output given. Round your answers to three decimal places.Find the value of expression for
- During a particularly dry growing season in a southern state, farmers noticed that there is a delicate balance between the number of seeds that are planted per square foot and the yield of the crop in pounds per square foot. The yields were the smallest when the number of seeds per square foot was either very small or very large. The data in the table show various numbers of seeds planted per square foot and yields (in pounds per square foot) for a sample of fields. A 2-column table with 15 rows. Column 1 is labeled number of seeds (per square foot) with entries 28, 75, 30, 43, 71, 35, 40, 59, 66, 79, 85, 81, 16, 33, 16. Column 2 is labeled yield (pounds per square foot) with entries 131, 171, 132, 166, 169, 150, 161, 183, 173, 161, 147, 157, 86, 145, 86. Which scatterplot represents the seed and yield data? A graph titled number of Seeds and Crop Yield has seeds (per square foot) on the x-axis, and yard (pounds per square foot) on the y-axis. The points curve up to a point, and…You work as a data scientist for a real estate company in a seaside resort town. Your boss has asked you to discover if it's possible to predict how much a home's distance from the water affects its selling price. You are going to collect a random sample of 7 recently sold homes in your town. You will note the distance each home is from the water (denoted by x, in km) and each home's selling price (denoted by y, in hundreds of thousands of dollars). You will also note the product x.y of the distance from the water and selling price for each home. (These products are written in the row labeled "xy"). (a) Click on "Take Sample" to see the results for your random sample. Distance from the water, .x (in km) Take Sample Selling price, y (in hundreds of thousands of dollars) xy Send data to calculator Based on the data from your sample, enter the indicated values in the column on the left below. Round decimal values to three decimal places. When you are done, select "Compute". (In the table…A special education teacher did research on whether or not there is a relationship between the number of students in his class and the number incidents of “acting out” behaviors exhibited by the autistic students in the classroom. He collects data for a year and aggregates them by month. He obtained the statistics below, r= -.863 R2=.74 b= -1.212294 a= 131.176598 10.) How does the presence of more students affect the incidents in the class? a) as students are added the incidences increase b) as students are added the incidences decrease c) the number of students does not affect acting out d) the number of students caused more incidents How much of the variability of acting out is explained by the number of students in the class?___________
