1. The scatterplot shows the relationship between latitude and mean July temperature (in degrees Fahrenheit) for 12 cities in the United States. The equation of the regression line relating these variables is y 106.5-0.782x %3D 95 90 85: 80 75- 70 30 32 34 36 38 40 42 Latitude (degrees) a) Predict the mean July temperature in Fairbanks, Alaska, at latitude 65°. How confident are you in this prediction? Explain. b) Los Angeles, California, is at latitude 34° and has a mean July temperature of 74°. Calculate its residual. c) Interpret the slope of the regression line. d) Does the value of the y intercept have meaning in this context? If so, interpret the y intercept. If not, explain why. Mean July temperature ("F)

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1. The scatterplot shows the relationship between latitude and mean July temperature
(in degrees Fahrenheit) for 12 cities in the United States. The equation of the regression
line relating these variables is y = 106.5-0.782x
85
80-
70
30
32
34
36
38
40
42
Latitude (degrees)
a) Predict the mean July temperature in Fairbanks, Alaska, at latitude 65. How confident are you
in this prediction? Explain.
b) Los Angeles, California, is at latitude 34° and has a mean July temperature of 74°. Calculate
its residual.
c) Interpret the slope of the regression line.
d) Does the value of the y intercept have meaning in this context? If so, interpret the y intercept.
If not, explain why.
Mean July temperature ("F)
75
Transcribed Image Text:1. The scatterplot shows the relationship between latitude and mean July temperature (in degrees Fahrenheit) for 12 cities in the United States. The equation of the regression line relating these variables is y = 106.5-0.782x 85 80- 70 30 32 34 36 38 40 42 Latitude (degrees) a) Predict the mean July temperature in Fairbanks, Alaska, at latitude 65. How confident are you in this prediction? Explain. b) Los Angeles, California, is at latitude 34° and has a mean July temperature of 74°. Calculate its residual. c) Interpret the slope of the regression line. d) Does the value of the y intercept have meaning in this context? If so, interpret the y intercept. If not, explain why. Mean July temperature ("F) 75
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