1. The weight in kg (y) of a calf taken at weekly intervals (x) are given below. Fit a straight line using the method of least squares and plot a scatter diagram of the given set of data. Round off to two decimals. Age in weeks 1 2 4 6. 7 8 9. 10 (x) Weight in kg 52.5 58.7 65 70.2 75.4 81.1 87.2 95.5 102.5 108.4
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- See pictureWaiting times (in minutes) of customers at a bank where all customers enter a single waiting line and a bank where customers wait in individual lines at three different teller windows are listed below. Find the coefficient of variation for each of the two sets of data, then compare the variation. Bank A (single line): 6.6 6.7 6.7 6.8 7.0 7.2 7.5 7.7 7.7 7.7 6.7 7.7 7.8 8.4 9.2 9.7 Bank B (individual 4.1 5.4 5.8 6.2 lines): www The coefficient of variation for the waiting times at Bank A is%. (Round to one decimal place as needed.)Statistics students in Oxnard College sampled 11 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The data are shown below: Number of Pages (x) Cost(y) 836 75.88 695 62.6 565 40.2 990 85.2 231 27.48 383 33.64 370 25.6 638 55.04 526 42.08 752 63.16 845 78.6 A student calculates a linear model using technology (Statistics Calculator or Computer) (Please show your answers to two decimal places) %3D Use the model to estimate the cost when number of pages is 833. Cost = $ (Use the linear model with yor rounded coefficients and then round your answer to 2 %3D decimal places.)
- Researchers wondered whether the size of a person's brain was related to the individual's mental capacity. They selected a sample of 5 females and 5 males and measured their MRI image pixel counts and IQ scores. Females Males MRI IQ MRI IG The data is reported to the right. Complete parts (a) through (d) below 139 858,472 140 955,003 935,494 924,059 1.079.550 1,001.121 Click the icon to view the critical values table. 991,305 138 141 857,782 833,868 790,619 133 135 132 141 135 140 AMRI 1,080,000- AIO 145 AIO 145- AMRI 1,080,000 780,000 130 130 780,000 130 780,000 780,000 130 1,080,000 145 1,080,000 MRI 145 MRI (b) Compute the linear correlation coefficient between MRI count and IQ. Are MRI count and IQ linearly related? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Round to three decimal places as needed.) A. Yes, MRI count and IQ are linearly related since the linear correlation coefficient is O B. No. MRI count and IQ are not…Use the stem-and-leaf plot to list the actual data entries. What's is the maximum data entry? What is the minimum data entry?Part 3. 1. By relying on the data table below, determine the weighted average of all data. Rounded to the nearest unit.
- Please help with the areas marked with an X To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the Jacobs Chemical Company obtained the following data on the time (in minutes) needed to mix the material. Manufacturer 1 2 3 19 29 16 25 27 15 23 32 19 21 28 18 a. Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use . Sum of Squares, Treatment X Sum of Squares, Error X Mean Squares, Treatment X Mean Squares, Error X Compute the values below (to decimals, if necessary). Calculate the value of the test statistic (to decimals)_______x_________. b. At the level of significance, use Fisher's LSD procedure to test for the equality of the means for manufacturers and . Calculate Fisher's LSD Value (to decimals)______X______For the residents in 2014, use R to calculate the interval with 99% certainty that the interval contains the actual population mean of the residents by census tracts. Type in the interval with keyboard. We also know that in each year, the number of residents by census tract in the State of Maryland follows a normal distribution, and the variance in the number of residents within the State of Maryland is the same for different years. POP2014: 3072, 1989, 3794, 2689, 3211, 3722, 4385, 4009, 7598, 3862, 3097, 2726, 4881, 4157, 2570, 2512, 2518, 4863, 4147, 7139, 6067, 6819, 3705, 3239, 3824, 4977, 2576, 2940, 9791, 5231, 5634, 5337, 4205, 3888, 5562, 3335, 3770, 1808, 2045, 1532, 5420, 4993, 6109, 4377, 5424, 4976, 4507, 3738, 2827, 3485, 1559, 5199, 4702, 3971, 3803, 3356, 4670, 3816, 5477, 4760, 3126, 3630, 3755, 3795, 2578, 3382, 4005, 2442, 6096, 3799, 3843, 3836, 6046, 6431, 3561, 3142, 4829, 5058, 2471, 6119, 3523, 3094, 3146, 3356, 2618, 2366, 4266, 4016, 6080, 1554, 6878, 3645,…X, absences Y, final grade 4. The data below are the number of absences, x, and the final grades, y, of 9 randomly selected students from a MTH 119 class. Construct a scatterplot of the data. 0 99 4 58 7 51 5 82 9 71 geyerinstructional.com 3 92 16 55 1 5 76 5 82
- JUST ANSWER THE LETTER D AND E A Zumba instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for individuals of the given ages. Age (x years) 20 40 60 Maximum heart rate 170 153 136 (y beats per minute) a. Find the linear correlation coefficient for the data. b. What is the significance of the value found in part a? c. Find the equation of the least-squares line. d. Use the equation from part c to predict the maximum exercise heart rate for a person who is 72. e. Is the procedure in part d an example of interpolation or extrapolation?A city wants to know if a new advertising campaign to make citizens aware of the dangers of driving after drinking has been effective. The accompanying table shows the number of drivers who have been stopped with more alcohol in their systems than the law allows for each day of the week in the week before and the week a month after the campaign starts. Assume that the data from each population is Normally distributed. Complete parts a through i below. A. Are the data paired? Explain. B. Compute the mean difference C. Compute the standard deviation of the differences. D. Compute the standard error of the mean difference. E. Find the value of the t-statistic. F. How many degrees of freedom does the t-statistic have? G. Is the alternative one- or two-sided? Explain. H. What is the P-value associated with this t-statistic? Assume that the other assumptions and conditions for inference are met.This table shows the average heights for American boys in 1990. Age (years) Height (cm) birth 50.8 2 83.8 3 91.4 5 106.6 7 119.3 10 137.1 14 157.5 Decide which variable should be the independent variable and which should be the dependent variable. Draw a scatter plot of the data. Does it appear from inspection that there is a relationship between the variables? Why or why not? Calculate the least-squares line. Put the equation in the form of: ŷ = a + bx Find the correlation coefficient. Is it significant? Find the estimated average height for a one-year-old. Find the estimated average height for an eleven-year-old. Does it appear that a line is the best way to fit the data? Why or why not? Are there any outliers in the data? Use the least squares line to estimate the average height for a sixty-two-year-old man. Do you think that youranswer is reasonable? Why or why not? 10. What is the slope of the least-squares (best-fit) line?…