The table shows the total square footage (in billions) of retailing space at shopping centers and their sales (in billions of dollars) for 10 years. Construct a 90% prediction interval for sales when the total square footage is 5.7 billion. The equation of the regression line is y = 567.939x - 1985.560. Total 4.9 5.2 5.3 5.4 5.5 5.6 5.9 5.9 5.9 6.1 Square Footage, x Sales, y 880.1 935.5 989.5 1056.9 1100.7 1201.9 1283.4 1346.3 1434.8 1549.5 Click the icon to view a table of critical values for the t-distribution. Construct a 90% prediction interval for the sales when the total square footage is 5.7 billion. Choose the correct prediction interval below, rounded to the nearest million dollars.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
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The table shows the total square footage (in billions) of retailing space at shopping centers and their sales (in billions of dollars) for 10 years. Construct a 90% prediction interval for sales when the
total square footage is 5.7 billion. The equation of the regression line is y = 567.939x - 1985.560.
Total
4.9 5.2 5.3 5.4
5.5
5.6
5.9
5.9 5.9 6.1
Square Footage, x
Sales, y
880.1 935.5 989.5 1056.9 1100.7 1201.9 1283.4 1346.3 1434.8 1549.5
Click the icon to view a table of critical values for the t-distribution.
Construct a 90% prediction interval for the sales when the total square footage is 5.7 billion. Choose the correct prediction interval below, rounded to the nearest million dollars.
<y<
Interpret the prediction interval.
A. A randomly selected year with 5.7 billion square feet of shopping area has a 90% probability of being within the prediction interval.
B. You can be 90% confident that the sales will be within the prediction interval when the total square footage is 5.7 billion square feet.
C. There is a 90% chance that the predicted sales given 5.7 billion square feet of shopping area is within the prediction interval.
Transcribed Image Text:The table shows the total square footage (in billions) of retailing space at shopping centers and their sales (in billions of dollars) for 10 years. Construct a 90% prediction interval for sales when the total square footage is 5.7 billion. The equation of the regression line is y = 567.939x - 1985.560. Total 4.9 5.2 5.3 5.4 5.5 5.6 5.9 5.9 5.9 6.1 Square Footage, x Sales, y 880.1 935.5 989.5 1056.9 1100.7 1201.9 1283.4 1346.3 1434.8 1549.5 Click the icon to view a table of critical values for the t-distribution. Construct a 90% prediction interval for the sales when the total square footage is 5.7 billion. Choose the correct prediction interval below, rounded to the nearest million dollars. <y< Interpret the prediction interval. A. A randomly selected year with 5.7 billion square feet of shopping area has a 90% probability of being within the prediction interval. B. You can be 90% confident that the sales will be within the prediction interval when the total square footage is 5.7 billion square feet. C. There is a 90% chance that the predicted sales given 5.7 billion square feet of shopping area is within the prediction interval.
$116,152,000,000
$0
$1,367,844,000,000
$37,010,000,000
$1,135,540,000,000
Transcribed Image Text:$116,152,000,000 $0 $1,367,844,000,000 $37,010,000,000 $1,135,540,000,000
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