Fat and Cholesterol. A study is conducted with a group of dieters to see if the number of grams of fat each consumes per day is related to cholesterol level. The data are shown here. Fat grams, 6.8 X Cholesterol level, y 183 6.5 175 8.2 10 193 283 8.6 222 9.1 8.6 250 190 10.4 260

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Fat and Cholesterol. A study is conducted with a group of dieters to see if the
number of grams of fat each consumes per day is related to cholesterol level. The
data are shown here.
Fat grams,
X
6.8
6.5
8.2
10
183 175 193
8.6
9.1
8.6
Cholesterol
level, y
This data is also on Statcrunch under the group data as, Fat and Cholesterol.
Questions:
a) Compute the correlation coefficient r, using the calculator. Round to 3 decimal
places.
283 222 250 190
10.4
c) Give the equation of the regression line. Round your numbers to 4 decimal
places.
260
b) Draw a scatter plot of the data using your calculator. Based on the scatterplot
and r, describe the relationship between the two variables in the context of the
problem (explain what tends to happen). Use a complete sentence.
d) Interpret the slope of the regression line in the context of the problem.
e) Estimate the cholesterol level of a dieter who consumes 9 grams of fat per day.
Round to the nearest whole number. Show your work or explain how you obtained
your answer.
Transcribed Image Text:Fat and Cholesterol. A study is conducted with a group of dieters to see if the number of grams of fat each consumes per day is related to cholesterol level. The data are shown here. Fat grams, X 6.8 6.5 8.2 10 183 175 193 8.6 9.1 8.6 Cholesterol level, y This data is also on Statcrunch under the group data as, Fat and Cholesterol. Questions: a) Compute the correlation coefficient r, using the calculator. Round to 3 decimal places. 283 222 250 190 10.4 c) Give the equation of the regression line. Round your numbers to 4 decimal places. 260 b) Draw a scatter plot of the data using your calculator. Based on the scatterplot and r, describe the relationship between the two variables in the context of the problem (explain what tends to happen). Use a complete sentence. d) Interpret the slope of the regression line in the context of the problem. e) Estimate the cholesterol level of a dieter who consumes 9 grams of fat per day. Round to the nearest whole number. Show your work or explain how you obtained your answer.
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