The following data show the means for four treatment conditions as well as the overall means for the columns and the rows. For these data, what numbers are compared to assess the main effect of fäctör A? A1 A2 B1 M = 20 M = 60 M = 40 B2 M = 30 M = 70 M = 50 M = 25 M = 65 O 30; 70 O 20; 30 O 40; 50 O 25; 65
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- For the following table of data. x 1 2 3 4 5 6 7 8 9 10 y 0 0.5 1 2 2.5 3 3 4 4.5 5 a. draw a scatterplot. b. calculate the correlation coefficient. c. calculate the least squares line and graph it on the scatterplot. d. predict the y value when x is 11.Check whether the representation of pets in the population is different from: dog 41%, cat 33%, fish 10%, other 16%. α = 0.05. I am sending a screenshot with only one PART of the data in the attachmentDuring 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…
- Dr. Ortega took a wide sample of people and timed them running a mile. There is a lot of variability in time, with some runners taking 5 minutes and others 20 minutes or more. Analyzing this further, Dr. Ortega wants to know what factors influence running speed? She hypothesizes that physical fitness and age play important roles, as do physical health and weight. For further clarity, Dr. Ortega calculates r2 for each variable and finds that the effect size for physical fitness is 29%.Dr. Ortega took a wide sample of people and timed them running a mile. There is a lot of variability in time, with some runners taking 5 minutes and others 20 minutes or more. Analyzing this further, Dr. Ortega wants to know what factors influence running speed? She hypothesizes that physical fitness and age play important roles, as do physical health and weight. For further clarity, Dr. Ortega calculates r2 for each variable and finds that the effect size for physical fitness is 29%. In 50 words or less, explain what this means. View keyboard shortcuts EditViewInsertFormatToolsTable 12pt Paragraph Dr. Ortega took a wide sample of people and timed them running a mile. There is a lot of variability in time, with some runners taking 5 minutes and others 20 minutes or more. Analyzing this further, Dr. Ortega wants to know what factors influence running speed? She hypothesizes that physical fitness and age play important roles, as do physical…An experiment is conducted to investigate the toxic effect of three chemicals, A, B, and C on the skin of rats. Three adjacent 1-inch squares are marked on the backs of 8 rats and each of the 3 chemicals is applied to each rat. The squares of the skin are then scored from 0 to 10, depending on the degree of irritation. The data on the outcome of the experiment are given in the following table: Rat 1 2 3 4 5 7 1.0 A B C| Rank A Rank B Rank C 6 5 3 11.5 6.0 1.5 9 8 4 23.0 20.0 3.0 6 11.5 23.0 1.5 6.0 20.0 11.5 16.5 20.0 23.0 6.0 16.5 11.5 11.5 16.5 6.0 11.5 6.0 16.5 5 6 7 8 Σyi 1.0 9 3 8 6 8 9 7 6 7 5 7 50 57 43 10 5 6 6 5 10 For the original data set 1-1 ij = 150, and ₁1-13 = 1006. From the ranks of the original data set the rank sums are RA = 97.5, RB = 128, Rc = 74.5 respectively. At a = 1%, is there sufficient evidence to support the research hypothesis that the probability distributions of skin irritation scores for the 3 chemicals differ in location? (a) Stating relevant…
- Mr. Acosta, a sociologist, is doing a study to see if there is a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred. A random sample of 93 adults revealed the following data. Test whether age and type of movie preferred are independent at the 0.05 level. Person's Age Movie 18-23 yr 24-29 yr 30-35 yr Row Total Drama 8 18 8 34 Science Fiction 9 8 13 30 Comedy 7 7 15 29 Column Total 24 33 36 93 Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) What are the degrees of freedom?Find or estimate the P-value of the sample test statistic. P-value > 0.100 0.050 < P-value < 0.100 0.025 < P-value < 0.050 0.010 < P-value < 0.025 0.005 < P-value < 0.010 P-value < 0.005 Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of…Mr. Acosta, a sociologist, is doing a study to see if there is a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred. A random sample of 93 adults revealed the following data. Test whether age and type of movie preferred are independent at the 0.05 level. Person's Age Movie 18-23 yr 24-29 yr 30-35 yr Row Total Drama 8 16 10 34 Science Fiction 10 8 12 30 Comedy 11 8 10 29 Column Total 29 32 32 93 (a) What is the level of significance?State the null and alternate hypotheses. H0: Age and movie preference are not independent.H1: Age and movie preference are independent.H0: Age and movie preference are independent.H1: Age and movie preference are independent. H0: Age and movie preference are not independent.H1: Age and movie preference are not independent.H0: Age and movie preference are independent.H1: Age and movie preference are not independent. (b) Find the value of the chi-square statistic for the sample. (Round…Mr. Acosta, a sociologist, is doing a study to see if there is a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred. A random sample of 93 adults revealed the following data. Test whether age and type of movie preferred are independent at the 0.05 level. Person's Age Movie 18-23 yr 24-29 yr 30-35 yr Row Total Drama 8 12 14 34 Science Fiction 9 9 12 30 Comedy 7 7 15 29 Column Total 24 28 41 93 a) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)
- Read the following description of a data set. Charles's landscape architecture firm won a contract to design a new public playground in Seville. To decide how many swings to include, Charles collected information about other playgrounds in the city. For each playground, he recorded the area (in square metres), x, and the number of swings, y. The least squares regression line of this data set is: y = 0.106x + 6.784 Complete the following sentence: For each additional square metre of area, the least squares regression line predicts that a playground would have more swings.A study was conducted to assess the influence of various factors on the start of new firms in the computer chip industry. For a sample of 70 countries the following model was estimated: ŷ = -59.31 + 4.983x1 + 2.198x2 + 3.816x3 – 0.310x4 (1.156) (0.210) (2.063) (0.330) -0.886x5 + 3.215x6 + 0.85x7 (3.055) (1.568) (0.354) R2 = 0.766 where ŷ = new business starts in the industry X1 = population in millions X2 = industry size x3 = measure of economic quality of life measure of political quality of life measure of environmental quality of life measure of health and educational quality of life X4 X5 X6 = x7 = measure of social quality of life The numbers in parentheses under the coefficients are the estimated coefficient standard errors. (a) Determine which coefficients in the model are statistically significant? Provide a justification for your answer. (b) Is the overall regression equation statistically significant at the 1% level? Justify your answer.Beachcomber Ltd in a local car dealership that sells used and new vehicles. The manager of thecompany wants to know how different variables affect the sales of his vehicles. A random sample ofyearly data was taken with the view to testing the model:SALES=?+?AGE+?MIL+?ENGWhere SALES= amount that a vehicle is sold for($000’s), AGE = age of the vehicle, MIL= the totalmileage of the vehicle at the point of sale and ENG = the size of the engine. The sample of data wasprocessed using MINITAB and the following is an extract of the output obtained:The regression equation is *****PredictorCoef StDev t-ratio p-valueConstant1.7586 0.2525 6.9648 0.0000AGE 0.2124 0.3175 * 0.5042MIL -0.75270.3586 -2.0991 **ENG 4.8124 0.6196 7.7664 0.0000Analysis of VarianceSource DF SS MS F pRegression3 413.1291 138.7097*** 0.00Error 50 457.7607 2.2888Total 53a) What is dependent and independent variables? b) Fully write out the regression equation c) Fill in the missing values ‘*’, ‘**’, ‘***’and ‘***’. d) Hence…
