What are the explanatory and response variables?

• Explanatory variable: temperature
• Response variable: the number of sales

2) Determine the mean, standard deviation, and five-number summary for each variable.

• Mean
  • Temperature: 69.559
  • Sales: 487.20
• Standard deviation
  • Temperature: 11.374
  • Sales: 255.63
• Five-number summary

3) What is the value of the linear correlation coefficient?

The linear correlation coefficient of temperature and sales is 0.956745

4) Based on the value of the linear correlation coefficient, is the correlation between Temperature and Sales strong or weak? Why?

5) Determine the equation of the linear regression line.

The equation of the linear regression line is y= 0.042570x + (48.793)

6) Use your regression equation to predict the number of Sales if the Temperature is one hundred degrees Fahrenheit.

Using the regression equation on a 100 degree day, the number of sales would be

7) Generate a scatterplot with a fitted regression line.

8) Interpret the meaning of the slope of the regression line in terms of Temperature and Sales.

• For every increase in temperature,

9) What is the y-intercept of the regression line and what does it mean regarding Temperature and Sales? Is this realistic?

• The y-intercept of the regression line tells us at a temperature of

10) Use your regression equation to predict the value of Sales if the Temperature is five hundred degrees Fahrenheit. Is this realistic?

If the temperature is five hundred degrees

11) What is the value of the coefficient of determination and what does it mean?

Transcribed Image Text:

Analysis of Variance Source DF Adj SS Regression 1 1136461 18 105083 19 1241543 Error Total Model Summary 1 2 3 4 76.4063 91.54% 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 S R-sq R-sq(adj) 91.07% C1 C2 Temperature Sales 57.56 61.52 53.42 59.36 65.30 71.78 66.92 77.18 74.12 64.58 72.68 62.96 82.48 55.29 73.22 66.84 77.21 95.82 91.68 61.25 ✓ Adj MS 1136461 5838 215 325 185 332 406 522 412 614 544 421 445 408 625 175 473 410 620 1254 980 390 C3 F-Value P-Value 194.67 <0.0001 C4 C5 C6 C7 Analysis of Variance Source DF Adj SS Regression 1 1136461 18 105083 19 1241543 Error Total Model Summary 1 2 3 4 76.4063 91.54% 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 S R-sq R-sq(adj) 91.07% C1 C2 Temperature Sales 57.56 61.52 53.42 59.36 65.30 71.78 66.92 77.18 74.12 64.58 72.68 62.96 82.48 55.29 73.22 66.84 77.21 95.82 91.68 61.25 ✓ Adj MS 1136461 5838 215 325 185 332 406 522 412 614 544 421 445 408 625 175 473 410 620 1254 980 390 C3 F-Value P-Value 194.67 <0.0001 C4 C5 C6 C7

Answer rating: 100% (QA)

1 Explanatory variable temperature Response variable number of sales 2 The values are obtained in Ex... View the full answer