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. Check My Work (4 remaie Not Answered Years of Annual Sales Salesperson Experience ($1000) 83 3. 99 108 4. 103 116 6. 123 10 125 11 132 11 135 10 12 136 a. Compute the residuals and choose a residual plot for this problem, z (to 1 decirnal) A. Radiab
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- 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 Sales Salesperson Experience ($1000) 1 2 82 2 3 84 3 4 94 4 6 101 5 7 102 6 9 105 7 10 108 8 11 114 9 13 123 10 15 125 a. Compute the residuals and choose a residual plot for this problem. y= __ + __ x (to 1 decimal) The correct plot of the residuals is (A, B, C, D) b. Do the assumptions about the error term seem reasonable in light of the residual plot? The assumptions concerning the error term (appear, do not appear) reasonable.A researcher wants to examine the relationship between time spend on social media (variable X) and loneliness (variable Y) in young adults. A randomly sample of n = 52 young adults was asked how much time in average they spend on social media each day and how lonely day feel on a typical day. The partial computations of collected data produced the following results: SP = -14 MX = 10 SSx = 36 MY = 16 SSY = 49 A. Based on these results, is there a significant correlation between time spend on social media and loneliness among young adults? Use a Pearson correlation test with p < .05, 2-tails to answer this research question. Follow the steps of hypothesis testing and insert your answers below. In your calculations,round all numbers to two decimal places to avoid rounding errors. ANSWER H0: H1: Computed Pearson r = df for decision about H0: Critical r-value used for decision about H0: Decision about H0 (i.e., reject or fail to…The following data on x=soil depth and y=percentage of montmorillonite in the soil were analyzed from samples taken in Belize X 40 50 60 70 80 90 100 Y 58 34 32 30 28 27 22 Draw the scatterplot Compute and draw the least square regression line. Compute the residual and construct a residual plot. Are there any unusual features of this plot?
- Compute the sum-of-squares error (SSE) by hand for the given set of data and linear model. (4, 4), (7, 7), (9, 10); y = x − 1The following table indicates the ages of a sample of female employees of People Plus Pty, and the corresponding monthly income of each employee (in thousands of Rands). Age In Years (x) 404932273846 Monthly Income (R000s) (y) 434936314142 By completing the table given below, and then applying the relevant formulae, determine the linear regression function for this bivariate data set. X Y X^2 XY TOTAL If a female employee is 39 years of age, estimate her monthly income.Using the LSRL, y hat = -25.5+1.5x, what is the residual for the data point at (28,19)
- The following data represent a company’s yearly sales volume and its advertising expenditure over a period of 5 years. (Y) (X) Sales in Millions Advertising Of Dollars in ($10,000) 15 32 16 33 18 35 17 34 16 36 Develop a scatter diagram of sales versus advertising and explain what it shows regarding the relationship between sales and advertising. Use the method of least squares to compute an estimated regression line between sales and advertising by computing b0 and b1An article reported that for a regression of y = average SAT score on x = expenditure per pupil, based on data from n = 44 New Jersey school districts, a = 766, b = 0.015, r2 = 0.160, and se = 53.7. One observation in the sample was (9400, 897). What average SAT score would you predict for this district, and what is the corresponding residual?Predict average SAT score _______ Residual ________The following data represent a company’s yearly sales volume and its advertising expenditure over a period of 5 years. (Y) (X) Sales in Millions Advertising Of Dollars in ($10,000) 15 32 16 33 18 35 17 34 16 36 Develop a scatter diagram of sales versus advertising and explain what it shows regarding the relationship between sales and advertising. Use the method of least squares to compute an estimated regression line between sales and advertising by computing b0 and b1 If the company’s advertising…
- The following data show the number of class sessions missed during a semester of SOC221 and the final grade for a sample of 8 students selected at random. Number of Sessions Missed Final Grade (x) (y) 0 96 2 88 12 68 6 91 8…Suppose a professor records the number of days absent and the final exam score for the students in his class. Use this data in the table below to answer questions a through d. No. of Absences, x 0 1 2 3 4 Final Exam Score, y 96.5 87.4 88.3 84.2 79.1 1) Predict the final exam score for a student who misses one class period and compute the residual. Is the final exam score above or below average for this number of absences? The predicted final exam score is ? (Round to two decimal places as needed.) The residual is ?A set of n = 15 pairs of X and Y values has a correlation of r = +0.80 with SSY = 75, and the regression equation for predicting Y is computed. Find the standard error of estimate for the regression equation. How big would the standard error be if the sample size were n = 30.