Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

1 points Save Answer QUESTION 5 Both the slope and intercept must be significant

ID: 3315548 • Letter: 1

Question

1 points Save Answer QUESTION 5 Both the slope and intercept must be significantly different from zero in order to conclude that there is a significant relationship between the predictor and response True False 1 points Save Answer QUESTION6 Prediction intervals and confidence intervals remain the same width regardless of which value of the predictor they are being calculated for True False 1 points Save Answer QUESTION 7 A residual measures the difference between the observed response and the predicted response and must always be positive True False 1 points Save Answer QUESTION 8 The coefficient of determination measures the percentage of variation in the response that is explained by variation in the predictor and must always take on a non-negative value True False

Explanation / Answer

Answer - 5: False

Only slope coefficient must be significantly different from zero in order to conclude a significant linear relationship.

Answer - 6: False

Prediction interval is always wider than confidence interval because in confidence interval, we estimate the range of mean whereas in prediction interval, we estimate the range of a single value.

Answer - 7: False

It is correct that residual is the difference between observed value and predicted value but it can take negative values too. For the observed values which are below the regression line, the residual will be negative.

Answer - 8: True

R2 is the measure of variation in dependent variable which can be explained by independent variable and it always take values between 0 and 1.