NPTEL Data Analytics with Python Week 7 Assignment Answers 2025
1. The interval estimate of the mean value of y for a given value of x is defined as?
- Prediction interval estimate
- Confidence interval estimate
- Average regression
- X vs Y correlation interval
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2. If the coefficient of determination is a positive value, then the coefficient of correlation
- must also be positive
- must be zero
- can be either negative or positive
- must be larger than 1
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3. Which of the following is true about multiple regression model?
- If has only one independent variable
- It has more than one dependent variable
- It has more than one independent variable
- It has at least 2 dependent variable
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4. In a multiple regression model, the error term ɛ is assumed to
- Have a mean of 1
- Have a variance of 0
- Have a standard deviation of 1
- Be normally distributed
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5. Regression analysis is a statistical procedure for developing a mathematical equation that describes how
- one independent and one or more dependent variables are related
- several independent and several dependent variables are related
- one dependent and one or more independent variables are related
- None of these alternatives correct
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6. If the R.sq value is small for a model with a large number of independent variables, the adjusted coefficient of determination ___________
- Can be positive
- Can be negative
- is zero
- Cant say
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7. Which one of the statements is true regarding residuals in regression analysis?
- Mean of residuals is always 0
- Mean of residuals is always < 0
- Mean of residuals is always > 0
- There is no such rule for residuals
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8. In a simple linear regression model (one independent variable), if we change the input variable by 1 unit, how much will the output variable change?
- By 1
- No change
- By its slope
- None of these
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9. If all the points of a scatter diagram lie on the least squares regression line, then the coefficient of determination for these variables based on these data is
- 0
- 1
- either 1 or -1, depending upon whether the relationship is positive
- could be any value between -1 and 1
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10. In a regression analysis, the regression equation is given by y = 12 – 6x. If SSE = 510 and SST = 1000, then the coefficient of correlation is
- -0.7
- +0.7
- 0.49
- -0.49
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