Run a regression analysis on the following bivariate set of data with y as the response variable. X y 103.5 90.7 58.3 62.9 90.6 70.6 65.6 63.1 71.3 63.3 72.9 66.5 49.2 48.6 69.7 70.9 94.1 88.4 67.4 60.2 72.4 72.8 72.8 68 Find the correlation coefficient and report it accurate to three decimal places. What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place. (If the answer is 0.84471, then it would be 84.5%...you would enter 84.5 without the percent symbol.) r² = Based on the data, calculate the regression line (each value to three decimal places) y = X+
Question 23: Run a
x | y |
---|---|
103.5 | 90.7 |
58.3 | 62.9 |
90.6 | 70.6 |
65.6 | 63.1 |
71.3 | 63.3 |
72.9 | 66.5 |
49.2 | 48.6 |
69.7 | 70.9 |
94.1 | 88.4 |
67.4 | 60.2 |
72.4 | 72.8 |
72.8 | 68 |
Find the
r =
What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place. (If the answer is 0.84471, then it would be 84.5%...you would enter 84.5 without the percent symbol.)
r² = %
Based on the data, calculate the regression line (each value to three decimal places)
y = x +
Predict what value (on average) for the response variable will be obtained from a value of 96.4 as the explanatory variable. Use a significance level of α=0.05α=0.05 to assess the strength of the linear correlation.
What is the predicted response value? (Report answer accurate to one decimal place.)
y =
![Run a regression analysis on the following bivariate set of data with y as the response variable.
X
y
103.5
90.7
58.3
62.9
90.6
70.6
65.6
63.1
71.3 63.3
72.9 66.5
49.2 48.6
69.7
70.9
94.1
88.4
67.4 60.2
72.4
72.8
72.8
68
Find the correlation coefficient and report it accurate to three decimal places.
r =
What proportion of the variation in y can be explained by the variation in the values of x? Report answer as
a percentage accurate to one decimal place. (If the answer is 0.84471, then it would be 84.5%...you would
enter 84.5 without the percent symbol.)
r² =
Based on the data, calculate the regression line (each value to three decimal places)
y =
X +
Predict what value (on average) for the response variable will be obtained from a value of 96.4 as the
explanatory variable. Use a significance level of a = 0.05 to assess the strength of the linear correlation.
What is the predicted response value? (Report answer accurate to one decimal place.)
y =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F726429ed-057a-40d0-bbc5-167f0b3d0466%2Ffebbfcdc-218a-450c-a247-296732a072e9%2Fgabgqf_processed.png&w=3840&q=75)
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