Size (1000s sq. ft) Selling Price ($1000s) 1.26 $118 3.02 $300 1.99 $139 0.91 $46 1.87 $130 2.63 $275 2.60 $260 2.27 $177 2.30 $175 2.08 $190 1.12 $95 1.38 $82 1.80 $169 1.57 $97 1.45 $115 Is the number of square feet of living space a good predictor of a house’s selling price? The following data collected in April, 2015, show the square footage and selling price for fifteen houses in Winston Salem, North Carolina. B From the output the regression equation is -59.0156 + 115.0915x Hypotheses: Null hypothesis: there is no relationship between the two variables. Conclusion: From the regression analysis output, the Significance F is observed to be 0.0000 (p-value). Since p-value is less than 0.05, the null hypothesis is rejected at 5% level. There is sufficient evidence to conclude that there a significant relationship between the two variables. Questions: Do you believe the estimated regression equation developed in part (b) will provide a good prediction of selling price of a particular house in Winston Salem, North Carolina? Explain. e. Would you be comfortable using the estimated regression equation developed in part (b) to predict the selling price of a particular house in Seattle, Washington? Why or why not?
Size (1000s sq. ft) | Selling Price ($1000s) |
1.26 | $118 |
3.02 | $300 |
1.99 | $139 |
0.91 | $46 |
1.87 | $130 |
2.63 | $275 |
2.60 | $260 |
2.27 | $177 |
2.30 | $175 |
2.08 | $190 |
1.12 | $95 |
1.38 | $82 |
1.80 | $169 |
1.57 | $97 |
1.45 | $115 |
Is the number of square feet of living space a good predictor of a house’s selling price? The following data collected in April, 2015, show the square footage and selling price for fifteen houses in Winston Salem, North Carolina. |
B From the output the regression equation is -59.0156 + 115.0915x |
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Hypotheses: | |||||
Null hypothesis: there is no relationship between the two variables. | |||||
Conclusion: | |||||
From the |
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Since p-value is less than 0.05, the null hypothesis is rejected at 5% level. | |||||
There is sufficient evidence to conclude that there a significant relationship between the two variables.
Questions: Do you believe the estimated regression equation developed in part (b) will provide a good prediction of selling price of a particular house in Winston Salem, North Carolina? Explain. please do not handwrite...thank you |
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