A bored statistician (who runs a space heater when it is cold) ran a regression

Question

A bored statistician (who runs a space heater when it is cold) ran a regression predicting the amount of his electric bill from the average temperature of the previous month. The data and results of the linear regression appear below.

a. Is average monthly temperature useful for predicting the statisticians electric bill? Why or why not?

b. What is the estimate of the intercept of the model, and what is its interpretation?

c. What is the estimate of the effect of average monthly temperature, and what is its interpretation?

Tem Bl Tem Bill cm 51 $71.69 34 $77.93 45 $73.82 61 $72.64 32 $77.81 39$74.41 74 $66.62 41 $74.43 35$76.24 77 $7070 43 $78.87 30$80.80 78 $6849 57 $69.48 49$77.64 74 $67.88 66 $70.89 68 $68.70 59 $68.66 72 $70.89 76 $70.23 48 $76.23 72 $71.39 44 $85.13 70 $68.31

Explanation / Answer

a) Yes it is useful because the p value is 0.000

b)

intercept = 86.181

there is no signification for this data

c)

-0.233

for one value in the temprature the Y value will be lower by 0.233 points

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