For each exercise: 1. Draw the scatter plot 2. Compute the value of the correlation coefficient...

For each exercise: 1. Draw the scatter plot 2. Compute the value of the correlation coefficient 3. State the Hypothesis 4. Test the significance of the correlation coefficient at α = 0.05 5. Give a brief explanation of the type of relationship

State Debt and Per Capita Tax: An economics student wishes to see if there is a relationship between the amount of state debt per capita and the amount of tax per capita at the state level. Based on the following data, can she conclude that per capita state debt and per capita state tax are related? Both amounts are in dollars and represents five randomly selected states. Per capita debt, x 1924 907 1445 1608 661 Per capita tax, y 1685 1838 1734 1842 1317

Emergency Calls and Temperature: An emergency service wishes to see whether a relationship exists between the outside temperature and the number of emergency calls it receives for a 7-hour period. Temperature, x 68 74 82 88 93 99 101 No. of calls, y 7 4 8 10 11 9 13

Expert Solution

Rahul Sunny answered 2 years ago

True or False 1) A correlation coefficient based on a scatter plot measures the proportion of...

True or False 1) A correlation coefficient based on a scatter plot measures the proportion of data lying on the regression line. 2)Which of the following is/are incorrect statement(s) about the correlation between two quantitative variables ?X and ?Y? I. A correlation of -0.8 indicates a stronger linear association between X and Y than a correlation of 0.5. II. A correlation of 0 implies ?X and ?Y are not related at all. III. A correlation of -1 indicates that ?=−?Y=−X.

What is the correct interpretation for the correlation coefficient r=1r=1? The scatter plot contains points which...

What is the correct interpretation for the correlation coefficient r=1r=1? The scatter plot contains points which all lie on a horizontal line. The scatter plot contains points which show no discernable relationship. The scatter plot contains points that all lie on a line with negative slope. The scatter plot contains points that all lie on a line with positive slope.

Define the following terms: a. correlation coefficient b. scatter plot c. bivariate relationship

Q1: Define the following terms: a. correlation coefficient b. scatter plot c. bivariate relationship Q2: Provide an example where the outlier is more important to the research than the other observations? Q3: Identify when to use Spearman’s rho

a. Draw a scatter plot. Is this a positive or negative correlation? Explain what a positive correlation and negative correlation are. b.Compute the pearson correlation.

For the following scores, x y 0 4 2 9 1 6 1 9 a. Draw a scatter plot. Is this a positive or negative correlation? Explain what a positive correlation and negative correlation are. b.Compute the pearson correlation.

For the following data (a) display the data in a scatter plot, (b) calculate the correlation...

For the following data (a) display the data in a scatter plot, (b) calculate the correlation coefficient r, and (c) make a conclusion about the type of correlation. The ages (in years) of 6 children and the number of words in their vocabulary Age, x 1 2 3 4 5 6 Vocabulary size, y 150 1100 1150 1800 2050 2700 A] The correlation coefficient r is

Below are four bivariate data sets and the scatter plot for each. (Note that each scatter...

Below are four bivariate data sets and the scatter plot for each. (Note that each scatter plot is displayed on the same scale.) Each data set is made up of sample values drawn from a population. x y 1.0 10.0 2.0 9.0 3.0 8.0 4.0 7.0 5.0 6.0 6.0 5.0 7.0 4.0 8.0 3.0 9.0 2.0 10.0 1.0 x 1 2 3 4 5 6 7 8 9 10 11 y 1 2 3 4 5 6 7 8 9...

(c) Compute the sample correlation coefficient r for each of the following data sets and show...

(c) Compute the sample correlation coefficient r for each of the following data sets and show that r is the same for both. (Use 3 decimal places.) (i) x 6 1 9 y 4 2 5 (ii)x 4 2 5 y6 1 9

Sketch a scatter gram after assigning variables b. Find the coefficient of correlation and explain if...

Sketch a scatter gram after assigning variables b. Find the coefficient of correlation and explain if the linear fit is good. (begin at =.05) c. Find and graph the least squares equation, stating the p-value. The time it takes to complete a construction project versus the size of the crew are noted below: 2. The time it takes to complete a construction project versus the size of the crew are noted below: CREW HOURS 4 210 9 102 10 90...

Compute the sample correlation coefficient r for each of the following data sets. (Use 3 decimal...

Compute the sample correlation coefficient r for each of the following data sets. (Use 3 decimal places.) (a) x 5 8 9 y 2 2 5 (b) x 2 2 5 y 5 8 9 r(a) = r(b) = x 2 1 2 4 3 y 5 10 9 15 10 (a) Find the linear correlation coefficient r.

For the accompanying data set, (a) draw a scatter diagram of the data, (b) compute the...

For the accompanying data set, (a) draw a scatter diagram of the data, (b) compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y. x 2 6 1 7 9 y 8 2 6 9 5 Critical Values for Correlation Coefficient n 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18...

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