Based on the sample data and the regression line, complete the following. The managers of an electric utility wish to examine the relationship between temperature and electricity use in the utility's...


Based on the sample data and the regression line, complete the following.




The managers of an electric utility wish to examine the relationship between temperature and electricity use in the utility's service region during the summer months. In particular, the managers wish to be able to predict total electricity use for a day from the maximum temperature that day. The bivariate data below give the maximum temperature (in degrees Fahrenheit) and the electricity use (in thousands of kilowatt hours) of electricity generated and sold for a random sample of summer days. A best-fitting line for the data, obtained from least-squares regression, is given by =y+83.852.67x, in which x denotes the maximum temperature and y denotes the electricity use. This line is shown in the scatter plot below.



























(a)For these data, values for electricity use that are greater than the mean of the values for electricity use tend to be paired with temperature values that are ▼(Choose one) the mean of the temperature values.


(b)According to the regression equation, for an increase of one degree Fahrenheit in temperature, there is a corresponding increase of how many thousands of kilowatt hours in electricity use?









(c)What was the observed electricity use (in thousands of kilowatt hours) when the temperature was

99.4


degrees Fahrenheit?









(d)From the regression equation, what is the predicted electricity use (in thousands of kilowatt hours) when the temperature is

99.4


degrees Fahrenheit? (Round your answer to at least one decimal place.)












Electricity<br>Temperature,<br>use, y<br>(in thousands<br>of kilowatt<br>hours)<br>(in degrees<br>Fahrenheit)<br>99.4<br>390.6<br>400-<br>73.6<br>292.4<br>375-<br>83.2<br>305.6<br>96.3<br>335.8<br>350-<br>**<br>97.3<br>293.3<br>325-<br>71.7<br>282.2<br>300+<br>71.0<br>306.9<br>275-<br>89.5<br>309.6<br>250-<br>72.5<br>226.0<br>225-<br>82.2<br>332.5<br>86.0<br>350.7<br>70<br>75<br>80<br>85<br>90<br>95<br>100<br>90.0<br>313.9<br>Temperature, x<br>95.6<br>348.8<br>(in degrees Fahrenheit)<br>93.6<br>344.3<br>82.8<br>258.1<br>Send data to calculator<br>Send data to Excel<br>A'əsn apunpaja<br>(in thousands of kilowatt hours)<br>

Extracted text: Electricity Temperature, use, y (in thousands of kilowatt hours) (in degrees Fahrenheit) 99.4 390.6 400- 73.6 292.4 375- 83.2 305.6 96.3 335.8 350- ** 97.3 293.3 325- 71.7 282.2 300+ 71.0 306.9 275- 89.5 309.6 250- 72.5 226.0 225- 82.2 332.5 86.0 350.7 70 75 80 85 90 95 100 90.0 313.9 Temperature, x 95.6 348.8 (in degrees Fahrenheit) 93.6 344.3 82.8 258.1 Send data to calculator Send data to Excel A'əsn apunpaja (in thousands of kilowatt hours)
Jun 01, 2022
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