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Answer :
Final answer:
The calculated predicted husband's IQ score, for a wife with IQ of 130, can be found by substitifying x=130 in y = 14.29 + 1.14x. The corresponding p-value and r-value indicate a significant linear relationship between the IQ scores of the husband and wife in the sampled couples.
Explanation:
In this question, we are given the regression equation y = 14.29 + 1.14x, where x represents the wife's IQ score and y is the predicted IQ value of the husband. The goal is to find the best predicted value of y for x=130.
Given the regression equation, substituting x=130 we get:
y = 14.29 + 1.14*130
Therefore, the predicted value of y would be obtained by simplifying the equation above.
The p-value provided is 0.000 and given the significance level of 0.05; since the p-value is less than the significance level, we could reject the null hypothesis. The r-value given is 0.884, which means that there is a significant linear association between husband's and wife's IQ scores in the sampled set.
It is important to note that these predictions are based on the assumption that the sampled data correctly represents the population and the relationship between the variables remains linear.
Learn more about Statistical Prediction here:
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