Statistics & Applications

Trends & Data

Medium

applied

For the following data:

Year ( $x_i$ ) 2004 2005 2006 2007 2008 2009 2010
Sales (in ₹' 000) ( $y_i$ ) 26 26 44 42 108 120 166

The equation of the straight line trend is $y = a + b(x_i - 2007)$ , then the trend value for the year 2011 is

Year ( $x_i$ )	2004	2005	2006	2007	2008	2009	2010
Sales (in ₹' 000) ( $y_i$ )	26	26	44	42	108	120	166

172

122

146

✅ Correct Option: 2

Let $u=x_i-2007$ , so $u$ runs from $-3$ to $3$ with $\sum u=0$ and $\sum u^2=28$ . Also $\sum y=532$ and $\sum uy=672$ . Then $a=\frac{532}{7}=76$ and $b=\frac{672}{28}=24$ , giving $y=76+24u$ . For 2011, $u=4$ , so $y=76+96=172$ .

2025: 16 May Shift 1

Irregular trends in a time series are caused by

(A) Epidemics

(B) Strikes

(D) Floods

Choose the correct answer from the options given below:

2026: 19 May Shift 2

The rise in prices of vegetables due to flood is an example of

2026: 19 May Shift 1

Irregular variations in a time series is :

2026: 26 May Shift 2

Consider the following data:

Year( $x_i$ )	2004	2005	2006	2007	2008	2009	2010
Profit (₹ 000)( $y_i$ )	26	26	44	42	108	120	166

Using method of least squares, the trend value for year 2004 will be

2025: 16 May Shift 1

Which of the following are normal equations to fit a straight line trend y = a + bx by the method of least squares?

2026: 18 May Shift 1

If for the following data:

Year ( $x_i$ )	2010	2011	2012	2013	2014	2015	2016
Sales (in ₹ crores) ( $y_i$ )	6	8	9	11	13	17	20

If the equation of the straight line trend is $y=a+b(x_i-2013)$ , then the trend value for the year 2018 is

For the following data: Year (xix_ixi​)2004200520062007200820092010Sales (in ₹' 000) (yiy_iyi​)26264442108120166 The equation of the straight line trend is y=a+b(xi−2007)y = a + b(x_i - 2007)y=a+b(xi​−2007), then the trend value for the year 2011 is

Solution

Related questions:

Keyboard Shortcuts

CUET Mathematics Past Year Questions (Topic-Wise)

For the following data:

Year ( $x_i$ ) 2004 2005 2006 2007 2008 2009 2010
Sales (in ₹' 000) ( $y_i$ ) 26 26 44 42 108 120 166

The equation of the straight line trend is $y = a + b(x_i - 2007)$ , then the trend value for the year 2011 is