Question

In: Statistics and Probability

In a series of projects I determined linear correlation coefficients between various explanatory and response variables....

  1. In a series of projects I determined linear correlation coefficients between various explanatory and response variables. Rank projects thru 5 in order of the increasing strength of correlation.

Project number

r

1

-0.3

2

0.5

3

-1.0

4

0.9

5

0

  1. What does r measure?
  1. Given the following values of x and y, and using y as the response variable, find the regression line that best fits the data.

x

Y

3

8

5

17

6

20

12

42

16

55

17

61

  1. Estimate the y values associated with an x value of 13

Solutions

Expert Solution

The following is a scatterplot of the data:

The scatterplot suggests that a linear regression fit will be appropriate.


Related Solutions

(a)What is the explanatory variable and the response variable? (b) Find the correlation between boat registrations...
(a)What is the explanatory variable and the response variable? (b) Find the correlation between boat registrations and manatee deaths. (Round to the hundredths place.) (c) What percent of the variation in manatees killed is explained by the model? (d) Find the least squares regression line for these data. (Round all values to the hundredths place.) (e) Predict how many manatees may die if 792 boats are registered. (Round to the nearest whole number.) Year manatees killed powerboat registration 1995 50...
You wish to determine if there is a linear correlation between the two variables at a...
You wish to determine if there is a linear correlation between the two variables at a significance level of α=0.10α=0.10. You have the following bivariate data set. x y 85.9 65.4 73.2 49.4 62.2 36.9 86.4 52.3 76 52.8 70.8 34 77.6 59.4 70.1 47.2 80.2 65.8 83.9 46.2 80.1 47 68.8 50.8 85.5 82.9 74.3 69.9 72.7 42.8 87.1 65.6 70.4 59.3 85.2 64.5 63.3 31.9 92.6 80.4 87 62.2 77.3 63.8 93.9 64.4 What is the correlation coefficient...
You wish to determine if there is a linear correlation between the two variables at a...
You wish to determine if there is a linear correlation between the two variables at a significance level of α=0.005α=0.005. You have the following bivariate data set. x y 39 52.7 29.7 82.5 32.1 72.4 39.4 98.3 31.1 51.4 43.1 51.8 35.5 43.8 29.5 90.8 38.4 100 36.8 7.4 34 67.5 28.3 97.2 32.2 82.2 29.9 28.9 What is the correlation coefficient for this data set? r = What is the p-value for this correlation coefficient? p-value = Your final...
You wish to determine if there is a linear correlation between the two variables at a...
You wish to determine if there is a linear correlation between the two variables at a significance level of α=0.01. You have the following bivariate data set. x y 30.1 49.7 47.3 53.8 55.7 49.6 35.7 58.9 42.7 53.7 36.4 56.8 42.6 62.9 34 61.1 47.5 65 57.3 47 34.5 63.3 62.6 55.2 What is the correlation coefficient for this data set? r = To find the p-value for a correlation coefficient, you need to convert to a t-score: t=√r2(n−2)1−r2...
You wish to determine if there is a linear correlation between the two variables at a...
You wish to determine if there is a linear correlation between the two variables at a significance level of α=0.10. You have the following bivariate data set. x y 30.5 114.8 40.9 130.6 25.9 19.8 25.1 23.9 27.9 96.4 40.8 91.6 32.4 41.1 27.6 34 38.3 145.8 32.8 138.8 32.5 95.5 37.4 120.4 22 84.6 41 65.6 30.8 27.4 21.8 102 33 66.4 31.9 59.8 27.8 41.4 30.1 85.8 26.2 71.7 28.5 35.1 26.9 67.6 1. What is the correlation...
You wish to determine if there is a linear correlation between the two variables at a...
You wish to determine if there is a linear correlation between the two variables at a significance level of α=0.005α=0.005. You have the following bivariate data set. x y 13.6 126.6 33.5 42.2 17.6 78.5 39 32.7 33 61.5 47.1 25.1 41.4 34.7 74 -41 68.7 -3 41.2 59.9 27.1 89.2 27.2 78.7 -19.8 179.9 62.7 -1.1 21 112.8 40.6 32.6 27.3 63.2 27.6 59.6 31.4 52.7 56.6 9.1 55 28.6 40.5 46.3 17.9 91.8 52.1 -6.6 38 21.3 24.5...
You wish to determine if there is a linear correlation between the two variables at a...
You wish to determine if there is a linear correlation between the two variables at a significance level of α=0.005α=0.005. You have the following bivariate data set. x y 101.8 97.3 72.4 18.1 94.1 94.4 43.8 -23.5 84.5 84.5 68.1 27.2 51.3 3.9 88.6 87.8 77 53.1 56.9 13.7 72.7 29.5 74.1 36.7 112.3 112.7 70.9 40.1 What is the correlation coefficient for this data set?        r = (report answer accurate to at least 3 decimal places) To find the...
You wish to determine if there is a linear correlation between the two variables at a...
You wish to determine if there is a linear correlation between the two variables at a significance level of α=0.01. You have the following bivariate data set. x y 75 22.4 50.4 41.3 94.4 27.3 60.1 35 63.9 32.2 43.8 52.1 59 42.2 54.5 35.9 75.8 19.2 49.4 46.4 42.5 59.4 29.7 59.3 65.2 27.9 56.6 31.2 38.6 48.3 50.7 32.9 60 35.1 61 35.6 59.2 32.7 94.4 11.8 42.3 47.5 71.1 19.3 65.9 42.2 17.3 65.3 What is the...
You wish to determine if there is a linear correlation between the two variables at a...
You wish to determine if there is a linear correlation between the two variables at a significance level of α=0.01α=0.01. You have the following bivariate data set. x y 53.8 140.7 59.6 106.5 91.7 8.3 85.5 23 93.1 42.2 77.7 48.3 71.4 86.7 69.5 85.1 80.9 59.1 62.5 112.7 79.6 103 76.6 69 76.1 32.1 What is the critival value for this hypothesis test? rc.v. = What is the correlation coefficient for this data set? r = Your final conclusion...
Using excel compute correlation coefficients, correlation matrix and test the significance of the correlation coefficients between...
Using excel compute correlation coefficients, correlation matrix and test the significance of the correlation coefficients between sales with price,  sales with advertisments using alpha 0.05 Sales Price Adver 19.98 14.10 15.19 19.98 18.65 15.19 19.98 18.65 13.87 19.98 18.65 12.83 19.98 18.65 13.16 19.98 18.65 15.19 19.98 18.65 13.92 20.10 18.73 14.42 20.12 18.75 13.83 20.13 18.75 14.50 20.14 18.75 13.87 20.12 18.75 13.64 20.12 13.87 14.31 20.13 14.27 13.85 20.14 18.76 14.20 20.14 18.77 13.64 20.13 13.87 14.33 20.13 14.14...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT