Given the following bivariate data: 10 15 20 30 5.00 4.75 4.75 4.00 X Y a) Plot each point in the graph below. 5- 55 2.75
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- Here is a bivariate data set.xy182425915011737106295223812246 Find the correlation coefficient and report it accurate to four decimal places. r =Given are five observations for two variables, x and y.x 3 12 6 20 14y 65 50 65 15 18a. Develop a scatter diagram for these data.b. Compute correlation between x and y variable.c. Develop the estimated regression equation by computing b0 and bHere is a bivariate data set.x y71 461 555 6148 -876 3126 7074 -62 Find the correlation coefficient and report it accurate to four decimal places.r =
- A major credit card company is interested in whether there is a linear relationship between its internal rating of a customer’s credit risk and that of an independent rating agency. The company collected a random sample of 200 customers and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim. H0:β1=0Ha:β1≠0 The test yielded a t-value of 3.34 with a corresponding p-value of 0.001. Which of the following is the correct interpretation of the p-value? If the alternative hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001. If the alternative hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001. A If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001. If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater…Given are five observations for two variables, x and y.x 3 12 6 20 14y 65 50 65 15 18a. Develop a scatter diagram for these data.b. Compute correlation between x and y variable.c. Develop the estimated regression equation by computing b0 and b1Given following data set generate dot plot number of text messages sent by 20 students in Mrs. T calculus class 1 3 2 13 32 8 2 6 3 4 1 0 2 2 0 2 1 2 7 2
- 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…Given are six observations taken for two variables: X: 8 7 10 11 11 12 y: 23 21 30 33 36 35 compute the correlation coefficient for these data. How much of the variation in Y values is explained in variations in X values?You obtained the following raw data when setting up a Biuret standard curve: BSA (mg/ml) Absorbancy 540nm 0 0.158 1 0.210 2 0.260 3 0.305 4 0.360 5 0.410 6 0.455 7 0.510 8 0.530 9 0.550 10 0.554 What would the quality of the line-fit (R2 value) be if you do not exclude experimental outliers? (Give you answer to 4 decimal places)
- Here is a bivariate data set. x y 65.9 47 92.5 106 83.8 63.7 73.5 74 104.2 151.9 80.6 75.8 63.6 16.1 48.5 21.6 70.4 43.8 Find the correlation coefficient and report it accurate to three decimal places. r =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.For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand, compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y.