a. Give the value of the correlation coefficient and interpret its meaning. b. Compute the least-squares regression line for predicting calories (v) from protein (x). A Y-302.521-0.508x c. Interpret the value of the slope.
a. Give the value of the correlation coefficient and interpret its meaning. b. Compute the least-squares regression line for predicting calories (v) from protein (x). A Y-302.521-0.508x c. Interpret the value of the slope.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
Problem 88CR
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Transcribed Image Text:Calories and protein: The following table presents the number of grams of protein and the number of calories
per 100 grams for each of 18 fast-food products.
Protein Calories Protein Calories
17.25
289
5.62
367
13.73
376
3.58
188
12.96 315
11.97
275
21.24
268
5.84
408
22.54
221
12.22
460
16.23
309
8.05
189
10.64 226
5.15
366
6.16
344
15.93
334
3.69
163 16.52
241
Source: United States Department of Agriculture
The following output was obtained after performing regression analysis in Excel:
Regression Statistics
Multiple R
R Square
Adjusted R Square
Standard Error
Observations
Regression output
variables
Intercept
Protein
0.0365
0.0013
-0.0611
84.9721
18
coefficients std error
302.5212 45.1484
-0.5082 3.4795
Y-302.521-0.508x
a. Give the value of the correlation coefficient and interpret its meaning.
confidence interval
t (df=16) p-value 95% lower 95% upper
6.701 5.10E-06 206.8108 398.2315
-0.146 8857 -7.8845 6.8680
b. Compute the least-squares regression line for predicting calories (y) from protein (x).
A
c. Interpret the value of the slope.
d. Predict the number of calories in a fast-food product containing 18 grams of protein. Round to the nearest
whole number.
e. What is the 95% confidence interval for the slope. You do not have to interpret the results.
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