Consider the following scatter diagram: 25 20 15 10 Initial Which of the following best describes the relationship between the initial and final temperatures? Select one: a. A positive linear relationship, with r close to 1, Ob. A positive, linear relationship, with r close to 0. O . A negative, linear relationship, with r close to -1. O . No linear relationship, with r approximately equal to 0, Final
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- The following pairs of observations tell the result of the laboratory experiment yand the temperature x at which the laboratory experiment was carried out. Observations as following: i xi yi i xi yi1 100 45 7 150 692 110 51 8 160 743 120 54 9 170 784 125 53 10 180 865 130 59 11 190 896 140 63 12 200 94 So the question regarding the table above would be (a) Draw a scatter diagram of the table. (b) Visually draw a line that fits the data (in table) as well as possible.(c) Fit a linear model to the data, i.e. estimate the PNS estimates of the regression line. Compare the regression line you get with the one you drew in (b) (ie compare the slopes/intercepts).(d) Predict the result of the laboratory experiment when the experiment is performed at a temperature of 185. R software or other software for linear regressions should not be used to solve this.Given that n=82 data points are collected when studying the relationship between average daily temperature and time spent watching television, use the critical values table below to determine if a calculated value of r=−0.974 is significant or not. df CV (+ and -) df CV (+ and -) df CV (+ and -) df CV (+ and -) 1 0.997 11 0.555 21 0.413 40 0.304 2 0.950 12 0.532 22 0.404 50 0.273 3 0.878 13 0.514 23 0.396 60 0.250 4 0.811 14 0.497 24 0.388 70 0.232 5 0.754 15 0.482 25 0.381 80 0.217 6 0.707 16 0.468 26 0.374 90 0.205 7 0.666 17 0.456 27 0.367 100 0.195 8 0.632 18 0.444 28 0.361 9 0.602 19 0.433 29 0.355 10 0.576 20 0.423 30 0.349 Select the correct answer below: r is significant because it is between the positive and negative critical values. r is not significant because it is between the positive and negative critical values. r is significant because it is not between the positive and negative critical values. r is not…The average normal daily temperature ( in degree Celsius) and the corresponding average monthly precipitation( in inches ) for the month of June are shown below for seven randomly selected cities. Compute for the value of r, complete the table with the needed information. Temperature(x) 30 27 28 32 27 23 18 Precipitation(y) 3.4 1.8 3.5 3.6 3.7 1.5 0.2
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- Suppose that for variables x and y, we find that the correlation coefficent r= .750. Assuming that α=.05α=.05, what is the minimum number of data points n, that is requried so that a signficant linear correlation is present? a. n=6 b. n=7 c. n=8 d. It cannot be determined from the given dataA researcher obtained the following results for a study: n = 44, SSy = 340603, SSx = 33712, B̂ = 2.0025 Find the correlation for these results?Match the following scatterplots to their correct correlation coefficients (r). 1. r=-0.85 2. r=-0.40 3. r=0 4. r=0.50 5. r=0.90 6. r=0.99
- he following data are measurements of temperature (x = °F) and chirping frequency (y = chirps per second) for the striped ground cricket. Temperature 31.4 22.0 34.1 29.1 27.0 24.0 20.9 27.8 Frequency 20.0 16.8 19.9 18.2 17.4 15.5 14.6 17.4 Temperature 20.8 28.5 26.4 28.1 27.0 28.6 24.6 Frequency 15.3 16.1 15.3 17.8 16.3 17.1 14.3 Find the best-fitting line for the data. (Round your values to three decimal places.. Below is the distance (X) of lightning flash versus charge (Y) transferred to earth X 6 6 6 6 6 7 9 10 10 10 11 12 15 15 18 23 Y 23 49 46 47 94 80 133 81 114 274 260 378 197 21 1035 1065 We wish to know if there is a direct relationship between X and Y and we conducted a test at the 5% level of significance. The test statistic we should find is equal to a. 0.6333 b. 0.5631 c. 0.317 d. None Therefore, the decision we make is a. Fail to accept b. Accept c. Reject d. Can’ t tellA sample of average high temperature during July (x) of cities in Colorado compared to their elevation in feet (y) yields the following results: x 90 75 85 94 89 94 78 76 88 y 5280 9494 6035 4078 6191 4583 8000 8022 5807 Find y2